Answers
Answer:
Since the diagonal is the maximum dimension in a square, if the length of the diagonal is less than the diameter of the circle which is 9cm, then the square can fit inside the circle.
Step-by-step explanation:
Given:
A circle that has a diameter of 9cm
Square that has a side length of 5cm
Find:
First, find the length of the diagonal of the square.
Solve:
Let D represents the length of the diagonal of square
Using the Pythagora's Theorem
D² = side² + side²
D² = 2side²
Since the length of square is equal to 5cm then,
D² = 2 × 5²
D² = 50
√D² = √50
D = √25 ×2
D = 5√2
D = 7.07106781187
D = 7.07
We can see that the length of the diagonal of the square is less than the diameter of the circle, so the square can fit inside the circle.
Related Questions
What is the length of BC to the nearest tenth?
Answers
I think the answer is 59.6
The length of BC to the nearest tenth will be 20.7 units
What is Cosine function?The cosine of an angle is a trigonometric function which is equal to the ratio of the lengths of the side adjacent to the angle and the hypotenuse of a right-angled triangle is called the cosine function which varies as the angle variesIt is generally denoted by cos x, where x is the angle between the base and hypotenuse.How to solve this problem?The steps are as follow:
From the given figure letAC=B=15
AB=C=13
BC=A=?
The formula to find BC is as follow:Cos95° = (b^2+c^2-a^2)/2bc
Cos95° = (15^2+13^2-a^2)/(2*15*13)
2*13*15*cos 95 =15^2+13^2-a^2
-34=225+169-a^2
A^2=394+34
A^2=428
A = 20.68 = 20.7 units
So the length of BC to the nearest tenth will be 20.7 units
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find the cube root of 29791/1331
Answers
Given ether equation y=5x+3 what is the slope of a line that is parallel
Answers
- Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, how many more must she sell in order to raise at least $400?
Answers
I am pretty sure the answer is 37 more bags.
Kendall need 33 more bags of popcorn to be sold.
What is word problem?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.
Let she needs to sell x more bags of popcorn,
Therefore,
140 + 8x = 400
8x = 260
x = 32.5 ≈ 33
Hence, Kendall need 33 more bags of popcorn to be sold.
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Pls help I will give BRAINLIEST シ♡︎
Answers
Answer:
3,1
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
Please help with a clear answer
Answers
Answer: f is the dependent variable
Step-by-step explanation:
A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.
What values can replace a, b and c in the boxes below to make the statement TRUE?
Answers
Answer:
a=14
b=-5
c=3
Step-by-step explanation:
14 divided by 7 will give 2.
Using laws of indices {a^x/a^y}=a^x-y,using that law(-5-4 will give -9 bringing the -9 downward will make it positive )
same too for y
please help me please
Answers
Answer:
x = -6
Step-by-step explanation:
we can see that x=-6 when y=2 on the graph
Answer:
-4 should be the answer
good luck
Name the intersection of
FG
and
GF
Answers
Answer: First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
Answer:First option: Line FG First option: Line FG
Step-by-step explanation:
Intersection points will be those points that belong to both lines.
We have the lines Line FG and Line GF.
Line FG: This is the line that connects the point F and the point G.
Line GF: this is the line that connects the point G and the point F.
Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.
Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"
Then the interception is the whole Line FG.
If d° = 140°, what is the value of g°? (please dont guess)
100°
140°
80°
40°
Answers
Answer:
okay so the is 140 degrees right and d and e are on a straight line so extend every line in that diagram so to get a it will be 180 degrees - 140 and e is equals to 40 degrees k will be 180 degrees because of angle y and d Angle c is equals to 100 degrees because it falls on a straight line with 80 degrees and angles in a straight line add up to 180° uncle g is equals to 100 degrees because it alternate angles c
The measure of angle g from the given figure is 80°.Therefore, option C is the correct answer.
What is quadrilateral?A quadrilateral is a polygon with four sides four angles and four vertices. Whenever we name a quadrilateral, we need to keep in mind the order of the vertices.
Given that, angle d is 140°.
We know that, sum of interior angles of a quadrilateral is 360°.
From the given figure,
c°+80°=180°
c°=100°
Now, 40°+d°+g°+c°=360°
40°+140°+g°+100°=360°
g°+280°=360°
g°=80°
Therefore, option C is the correct answer.
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Solve −h−7h+13=3. Solve for h
Answers
Answer:
I think your answer is h = -1
Answer:
-8h+13=3
-8h=3-13
_8h=_10
h=5\4
8.
In two hours a candy maker can produce 80 boxes that each contain 10 pieces of candy.
How many pieces of candy does the candy maker produce in six hours?
(A) 2400
(B) 4800
(C) 480
(D) 600
Answers
Answer:
2400 candies
Step-by-step explanation:
2 hrs - 80 boxes w/ 10 candies each = 800 candies
2 x 3 = 6
800 x 3 = 2400
So:
In 6 hours, the candy maker can make 2400 candies.
Hope this helped!
Answer:
2400 candy thank me later
The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.The smaller triangle is dilated to create the larger triangle. The center of dilation is plotted, but not labeled. Describe this dilation. Be sure to include all of the information someone would need to perform the dilation.
Answers
To dilate of the small triangle to get the large triangle the center of dilation is required
The description of the dilation is as follows;
Location of the center of dilation;
The coordinate of the center of dilation is given as follows;
[tex]\left( x_0 = \dfrac{k \cdot x_1 - x_2}{k - 1}, \ y_0 = \dfrac{k \cdot y_1 - y_2}{k - 1} \right)[/tex]
Where;
k = The scale factor of dilation
(x₁, y₁) = A coordinate point on the preimage
(x₂, y₂) = A coordinate point on the image
From the given drawing, we have;
Two vertices on the preimage are; (2, 0), and (5, 1)
Two corresponding vertices on the image are; (0, 0), and (9, 3)
Using the formula for length, l, we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
[tex]l_{small} = \sqrt{\left (1 -0 \right )^{2}+\left (5-2 \right )^{2}} = \sqrt{10}[/tex]
[tex]l_{large} = \sqrt{\left (9 -0 \right )^{2}+\left (3-0 \right )^{2}} = \sqrt{90} = 3 \cdot \sqrt{10}[/tex]
[tex]The \ scale \ factor, \ k = \dfrac{l_{large}}{l_{small}} = \dfrac{3 \cdot \sqrt{10} }{\sqrt{10} } = 3[/tex][tex]\left( x_0 = \dfrac{3 \times 2 -0}{3 - 1}, \ y_0 = \dfrac{3 \times 0 - 0}{3 - 1} \right)[/tex]
[tex]\left( x_0 = 3, \ y_0 = 0\right)[/tex]
The center of dilation is the point (3, 0)The steps to create the larger triangle from the center of dilation are as follows;
From the center of dilation, draw lines passing through the vertices of the small triangleWith the ruler mark points on the radial lines that are three times the distances from the vertices of the small triangle from the center of dilationJoin the marked points to create the larger triangleAlternatively larger triangle can also be created using the vertices as follows;
The coordinates of the third vertex of the small triangle are; (4, -2)
To obtain the coordinates of the large triangle, the coordinates of
the small triangle are multiplied by the scale factor, followed by adding the
coordinates of the center of dilation, we have that the coordinates of the
image are;
[tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex]
Where;
[tex](x_{ai}, \ y_{ai})[/tex] = The difference between the coordinate values of the vertices of
the small triangle and the center of dilation, we have;
(2 - 3, 0 - 0) = (-1, 0)
(5 - 3, 1 - 0) = (2, 1)
(4 - 3, -2 - 0) = (1, -2)
We have [tex](k \times x_{ai} + x_0, \ k \times y_{ai} + y_0)[/tex] are;
(3 ×(-1) + 3, 3× 0 + 3) = (-3 + 3, 0) = (0, 0)
(3 × 2 + 3, 3 × 1 + 0) = (6 + 3, 3) = (9, 3)
(3 × 1, 3 × (-2) + 0) = (3 + 3, -6) = (6, -6)
The vertices of the larger triangle are found as (0, 0), (9, 3), (6, -6)
By drawing lines joining derived vertices the larger triangle can be created
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One tenth of the markers in mr barrets Classroom are red. What fraction of the markers is red?
A.1/10
B.8/10
C.9/10
D.10/1
Answers
Answer:
A.1/10
you provided the answer... you said one tenth which is 1/10
Step-by-step explanation:
Answer:
A 1/10
Step-by-step explanation:
your welcome
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this account. Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? $5,852. 00 $5,860. 53 $5,940. 00 $5,954. 31.
Answers
The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
For the considered case, we're given that:
Initial amount Laura deposited = $5,500 = PType of interest: Compound interestUnit of time: AnnuallyRate of interest = 1.6% annually = RTotal unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:
[tex]A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4 \approx 5860.53 \: \rm (in \: dollars)[/tex]
Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
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The table shows values for functions f(x) and g(x). Just answer this simple simple question for a brain list and extra points.
Answers
Answer:
x = 1 and
x = 3
Step-by-step explanation:
The solution is the x for each row where the f(x) and g(x) are the same. When x is 1, f(x) and g(x) are both 0.
When x is 3, f(x) and g(x) are both 6.
Rewrite using a negative exponent.
1/8^6
Answers
Answer:
All you need to do is find the reciprocal and switch the exponent to a negative. The answer is 8^-6
Step-by-step explanation:
Answer: 8^-6
Step-by-step explanation:
got it right from the answer above
A cylinder has a height of 20 centimeters and a diameter of 38 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
[tex]\huge\boxed{\sf 22670.80 \ cm^3}[/tex]
Step-by-step explanation:
Height = h = 20 cm
Diameter = d = 38 cm
Radius = d / 2 = 38 / 2 = 19 cm
Volume of cylinder:
[tex]= \pi r^2 h\\\\= (3.14)(19)^2(20)\\\\= (3.14)(361)(20)\\\\= 22670.80 \ cm^3\\\\\rule[225]{225}{2}[/tex]
Solution:
Given:
Height of cylinder = 20 cmDiameter of cylinder = 38 cmFirst, let's find the radius of the cylinder as the radius of the cylinder is included in the formula.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]\text{Radius} = \dfrac{\text{Diameter}}{2}[/tex]
[tex]\text{Radius} = \dfrac{38}{2}[/tex]
[tex]\text{Radius} = 19 \ \text{cm}[/tex]
Recall that the volume of a cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex](\pi)( r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex](3.14)( 19^{2})( 20) = \text{Volume of cylinder}[/tex]
[tex]\boxed{22670.8 \ \text{cm}^{3} = \text{Volume of cylinder}}[/tex]
Just help for 15 points
Answers
Answer:
Point of Intersection = (2/3, -16/3)
Step-by-step explanation:
Equation of line AB
=> y + 18 / -15 + 18 = x + 3 / -2 + 3
=> y + 18 = 3x + 9
=> y = 3x - 9
Equation of Line CD
=> y + 13 / -7 + 13 = x + 7 / -1 + 7
=> y + 13 = x + 7
=> y = x - 6
Intersection
=> 3x - 9 = x - 6
=> 2x = 3
=> x = 2/3
y = 2/3 - 6
y = -16/3
Point of Intersection = (2/3, -16/3)
Tom has a goal of saving enough money to buy a new set of rims for his car. Tom makes $7. 50 an hour take home pay at his job working 15 hours per week. If the rims that Tom wants cost $900, how long will it take Tom to achieve his goal? a. 6 weeks b. 7 weeks c. 8 weeks d. 9 weeks Please select the best answer from the choices provided A B C D.
Answers
It will take 8 weeks to Tom to achieve his goal.
What is the amount earned by him in a week?
The amount earned by him is given by multipliy number or hours and eaning in a hour.
Given
Tom has a goal of saving enough money to buy a new set of rims for his car.
Tom makes $7. 50 an hour take home pay at his job working 15 hours per week.
The earning of Tom in an hour = $7.5
If tom worked 15 hours in a week, then the amount earned by him in one week is;
[tex]=15\times 7.5\\\\=112.5[/tex]
The required amount to achieve his goal = $900
The number of week he need to work to achieve his target is;
[tex]= \dfrac{900}{112.5}\\\\= 8[/tex]
Hence, It will take 8 weeks to Tom to achieve his goal.
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what is the value of x
Answers
Answer:
x = 5
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 4^2 = x^2
9 + 16 = x^2
25 = x^2
√25 = √x^2
x = 5
please help me out, need help asap:) thank you
Answers
Answer:
See below.
Step-by-step explanation:
Solving :-
#1
x² - 2x - 15 = 0x = 2 ± √4 - 4(1)(-15) / 2x = 2 ± √64 / 2x = 2 ± 8 / 2x = 1 ± 4x = 5, -3#2
8x² + 2x - 15 = 0x = -2 ± √4 - 4(8)(-15) / 16x = -2 ± √484 / 16x = -2 ± 22 / 16x = -1 ± 11 / 8x = 5/4, -3/2They both have the numerator in both solutions to be 5 and -3 respectively. I believe this is because both equations have the constant term, c, to be -15 and 5 and -3 are factors of -15.
help help help help help help༎ຶ‿༎ຶ
Answers
Answer:
Step-by-step explanation:
START
=> Alternate Interior Angles (Slanted Downwards Right)
=> Vertical Angles (Up)
=> Linear Pair (Right)
=> Corresponding Angles (Down)
=> Alternate Exterior Angles (Down)
=> Interior Angles on the Same Side (Left)
=> Alternate Interior Angles (Left)
=> Corresponding Angles (Slanted Downwards Right)
=> Exterior Angles on the Same Side (Right)
FINISH
put these in order from least to greatest 0.5, -3/2, -1 1/3, - 2.25
Please help
Answers
Answer:
-11/3, -2.25, -3/2, 0.5
Step-by-step explanation:
if 3-3\4 lb of candy cost $20.25 how much would 1 lb of candy be?
Answers
Answer: Si 3-3 \ 4 lb de dulces cuestan $ 20.25, ¿cuánto sería 1 lb de dulces
Step-by-step explanation:
Solve for f
5h(-m+f)=6
Step by step explanation please
Answers
Answer:
f =[tex]\frac{6}{5h}[/tex]+m
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
5h(−m+f)=6
Step 1: Add 5hm to both sides.
5fh−5hm+5hm=6+5hm
5fh=5hm+6
Step 2: Divide both sides by 5h.
5fh/5h=5hm+6/5h
f=5hm+6/5h
Hey could anyone help with this question?
"A container is made up of a hemisphere on top of a cylinder, both with the radius 26cm. the total volume of the container is 230,000 cm find the height of the cylinder"
Thanks so much!
Answers
Answer:
Height = 108.35 cm
Step-by-step explanation:
Given :-
Radius = 26 cm
Total Volume = 230,000 cm³
To Find :-
Height
Formula Required :-
Volume (cylinder) = π x (radius)² x height
=> height = volume / π x (radius)²
Solving :-
h = 230,000 / (3.14 x 676)
h = 230,000 / 2122.64
Solution :-
Height = 108.35 cm
The value of a ratio is ___________.
1 the sum of two quantities in the ratio
2 the quotient of the two quantities in the ratio
3 the difference of the two quantities in the ratio
4 the product of the two quantities in the ratio
Answers
Answer:
The value of a ratio is:
Option 2, The quotient of the two quantities in the ratio.
Step-by-step explanation:
Hope this helps you out! ^^
One hundred people buy gum balls from the gum ball machine. 45 of them get a red gum ball, 40 get a blue gum ball, and 15 get a yellow gum ball.
A. Develop a probability model to predict the color of the next gum ball purchased. Compare the probability of getting a red gum ball to the probability of getting a yellow gum ball.
B. Of the next 10 people to buy gum balls, 7 get yellow, 1 gets red and 2 get blue. Explain a possible reason for this outcome.
Answers
A) The experimental probabilities are:
R = 0.45, B = 0.4, and Y = 0.15
From this, we can expect to get a red ball on the next draw.
B) This can happen because the experimental probabilities are bad estimations, or because the balls on the machine are not replaced.
How to get the experimental probability?
A) The probability of getting each color will be given by the quotient of the number of balls of that color and the total number of balls.
For example, we know that 100 people buy gumballs, and 45 of them got red ones, so the experimental probability of getting a red gumball is:
R = 45/100 = 0.45
40 got a blue ball, so the probability of getting a blue ball is:
B = 40/100 = 0.4
15 got a yellow gumball, so the probability here is:
Y = 15/100 = 0.15
As you can see, the experimental probability of getting a red gumball is 3 times the probability of getting a yellow one. based on that, we can expect that the next gumball out from that machine will be red.
B) So now 10 more people go to the machine, and they get:
7 yellow, 1 red, and 2 blue gumballs.
This clearly does not follow the experimental probability we got above, why this may happen?
There are two main reasons.
First, to get a valuable experimental probability an experiment must be performed a lot of times, 100 is a ratter a small number. So the experimental probability that we got on point A may be a really bad estimation.
On another hand, there is a possibility that the gumballs in the machine are not being replaced. So initially, there is a fixed number of red, yellow, and blue balls.
This would mean that if we remove one red ball on the first try. Then for the next try, the probability of getting a red ball will be smaller (because now the machine has fewer red balls).
Then, because out of the 100 first balls most were red or blue, we can assume that most of the remaining balls on the machine are now yellow, and then the probability of getting a yellow ball is increased.
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A car dealership sold 120 cars in April. The dealership wants to increase the number of cars sold by 15% in May. How many cars will the dealership need to sell to reach their goal?
Answers
Answer:
See below
Step-by-step explanation:
15% of 120 is 18
120 plus 18 is 138
=138