Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees
Answer:
1/12 of the area of the circle
Step-by-step explanation:
Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12
if the ratio of the side lengths of two similar rectangular
prisms is 3/5, what would be the ratio of their areas
Given:
Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].
To find:
The ratio of their areas.
Solution:
If two figures are similar then their areas are proportional to the squares of their corresponding sides.
[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex] ...(i)
Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.
It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].
Using (i), we get
[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]
[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]
Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.
If f(x) = x^3 + 2x^2-29x-30 and f(-6) = 0, then find all of the zeros of f(x) algebraically
Answer:
there are going to be three zeros.
x=-1
x=-6
x=5
Samson carries a big weighing 5.5 kg.How many grams is it ?
Answer:
5,500 grams
Step-by-step explanation:
it is a measurement in kilograms meaning onethousand grams. so its 5,500 grams
Answer:
5500 Grams!
Step-by-step explanation:
Need help on this question asap pleasee
Answer:
15 cm
Step-by-step explanation:
[tex]\frac{12}{24}[/tex] = [tex]\frac{x}{30}[/tex]
cross multiply and solve for x
or just notice that the fraction reduces to 1/2 and 15 is half of 30
the answer is in the picture
The line that passes through the points (5, 3)
and (8. A) is perpendicular to the line
6x + 7y + 13 = 0. Determine the value of A.
Answer:
[tex] \frac{13}{2} [/tex]
Step-by-step explanation:
slope of the line that passes thru (5, 3) and (8, A)
[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]
the line that is perpendicular to the given line is
6x + 7y + 13= 0
finding the slop of this line :-
[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]
Comparing with standard equation of a line
y = mx + c
where m is the slop and c is the y- interceptm = - 6/ 7
Since, the two lines are perpendicular to each other the product of their slopes will be - 1
[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]
( canceling the 2 negative signs on both the sides )
please help me with this :D
Which of the following will result in a rational answer?
multiplying π by a fraction
adding the square root of a non perfect square to a whole number
adding the square root of a perfect square to π
multiplying a fraction by a repeating decimal.
Answer:
multiplying a fraction by a repeating decimal
Step-by-step explanation:
any fraction is rational
any repeating decimal is rational
therefore, product of the two would be rational
25 points please explain it to me add the answer and the work since I’m so confused on when to subtract missing lengths where and when
9514 1404 393
Answer:
it depends on what the question is (no question is given)
Step-by-step explanation:
What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.
Perimeter
The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.
The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.
For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.
P = 2(L+W) = 2(21+16) = 2(37) = 74 units
__
Area
The dashed lines divide this figure into 3 rectangles.
left side: 16 wide by 13 high
upper right: 5 wide by 13 high
lower right: 5 wide by 3 high
You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.
You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.
area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units
Adding the 3 rectangles identified above gives ...
16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area
Simplify. (n−8)(n+3)
Answer:
n^2 - 5n - 24
Step-by-step explanation:
You can use FOIL to multiply the binomials.
FOIL stands for the 4 products you need to caclulate when multuiplying 2 binomials. It just reminds you todo the 4 needed multiplications.
F - first terms
O - outside terms
I - inside terms
L - last terms
F O I L
(n - 8)(n + 3) = n * n + 3 * n - 8 * n - 8 * 3
Now we simplify the products and collect like terms.
= n^2 + 3n - 8n - 24
= n^2 - 5n - 24
One angle of a triangle measures 92°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
An equation is
= 180.
The congruent angles each measure
O'
Answer:
Each angle measures 44°.
Step-by-step explanation:
Answer:
44°
Step-by-step explanation:
180-92=88
Help now now the other 2 are Wednesday and Thursday
The figure above is a regular hexas What is the value of x?
Answer:
A hexagon has six sides, and we can use the formula degrees = ( number of sides – 2) × j180. Then degrees = (6 – 2) × 180 = 720 degrees. Each angle is 720/6 = 120 degrees. straight angle is 180 and that one angle of hexagon 120 so 180 - 120 = 60
answer: value of x is 60 degrees
Maverick wants to rent some office space for 5 years. The lease states that the
annual rent is $75,000 for the first year and will increase by 7.25% each
additional year of the lease. What will the total rent be for the entire 5-year
lease? Round your answer to the nearest hundredth.
Answer:
$106,426.01
Step-by-step explanation:
Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years. Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:
A = $75,000(1 + 0.0725)^5, or
A = $75,000(1.0725)^5, or
A = $106,426.01
Answer:
$434,907.04 or $435,179.37 depending on your teacher's rounding.
Step-by-step explanation:
The rent for the first year is given as $75,250.
For the second year, the rent will increase by 7.25%, so the rent will be:
$75250 + 0.0725 ($75,250) = $80,705.63
Using the calculation for the previous year, continue the formula.
The rent increases by 7.25% for the third year, so:
$80,705.63 + 0.0725 ($80,705.63) = $86,556.79
Fourth Year:
$86556.79 + 0.0735 (86556.79) = $92,918.71
Fifth Year:
92918.71 + 0.0735 (92918.71) = 99748.24
Add these all together to get the final rent after the 5 year lease:
75,250 + 80.705.63 + 86,556.79 + 92,918,71 + 99,748.24 = 435,179.37
Natalie is flying a kite, holding her hands a distance of 2.5 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 30°. If the string from the kite to her hand is 95 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answer:
50
Step-by-step explanation:
trust me bro
The height of the kite is 47.5 feet.
Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.
Let h represent the height of the kite. Hence, using trigonometric ratios:
sin(30) = h / 95
h = 47.5 feet
Therefore the height of the kite is 47.5 feet.
Find out more at: https://brainly.com/question/20418073
Ali cycles x km in 3 hours. If he maintains the same
average speed, how far can he cycle in y minutes?
Answer:
xy/180 km
Step-by-step explanation:
Mathematically, we have it that;
Speed = distance/ time
If he cycles x km in 3 hours
We know that ; 60 minutes = 1 hr
3 hours = 3 * 60 = 180 minutes
So the speed in km per minutes will be;
x km/180 minutes = x/180 km/minute
Recall,
Distance = speed * time
= x/180 * y = xy/180 km
A line is perpendicular to y=2/3x+2/3 and intersects the point (-2,4). What is the equation of this perpendicular line?
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← is in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]
Using the point- slope form
with m = - [tex]\frac{3}{2}[/tex] and (x₁, y₁ ) = (- 2, 4) , then
y - 4 = - [tex]\frac{3}{2}[/tex] (x - (- 2) ) , that is
y - 4 = - [tex]\frac{3}{2}[/tex] (x + 2) ← distribute
y - 4 = - [tex]\frac{3}{2}[/tex] x - 3 ( add 4 to both sides )
y = - [tex]\frac{3}{2}[/tex] x + 1 ← in slope- intercept form
Find the measure of X
Answer:
7
Step-by-step explanation:
135 = 15*(x+2)
Answer:
x = 7
Step-by-step explanation:
The angles are alternate exterior angles and alternate exterior angles are equal for parallel lines
135 = 15(x+2)
Divide by 15
135/15 = 15/15(x+2)
9 = x+2
Subtract 2
9-2 = x+2-2
x = 7
Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]
Answer:
202
Step-by-step explanation:
360 - 60+50+48
360-158
= 202
Answer:
The answer would be 49
Step-by-step explanation:
Trust
Pattern A starts at 2 and uses the rule "add 3." Pattern B starts at 38 and uses the rule "subtract 5."
What are the next four terms in each pattern?
Enter your answers in the boxes.
Answer:
A: 5,8,11,14
B: 33,28,23,18
Step-by-step explanation:
Pattern A
2 +3 = 5
5+3 = 8
8+3 = 11
11+3 = 14
Pattern B
38 -5 = 33
33-5 = 28
28-5 =23
23-5 = 18
A: 2, 5, 8, 11, 14
B: 38, 33, 28, 23, 18
The members of a class voted to visit the zoo, museum, or science center on their next field trip. If the zoo got 33% of the vote and the science center got 29% of the vote, what percentage of the class voted for the museum?
A. 32%
B. 48%
C. 62%
D. 38%
Answer:
D
Step-by-step explanation:
100-33=67
67-29=38
38%
:3
if 3/2+x/3=11/6,find x .
Step-by-step explanation:
[tex] \frac{3}{2} + \frac{x}{3} = \frac{11}{6} [/tex]
[tex] \frac{x}{3} = \frac{11}{6} - \frac{3}{2} [/tex]
[tex] \frac{x}{3} = \frac{11 - 3 \times 3}{6} [/tex]
[tex] \frac{x}{3} = \frac{11 - 9}{6} [/tex]
[tex] \frac{x}{3} = \frac{2}{6} [/tex]
[tex] \frac{x}{3} = \frac{1}{3} [/tex]
[tex]x = \frac{3 \times 1}{3} [/tex]
[tex]x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
3/ 2 + x/ 3 = 11/ 6
taking LCM
(9 + 2x)/ 6 = 11/ 6
multpiying both sides by 6
9 + 2x = 11
subtracting btih sides by 9
2x = 11 - 9
2x = 2
dividing both by 2
x = 1
Use the figure below, If m
Answer:
m anglw ABD answers is 50 degree
Giulio holds a bag of 70 marbles in his hands. Jim blindfolds Giulio and keeps adding marbles to Giulio's bag, one at a time. However, Giulio notices the difference in the weight only after Jim has added 5 marbles. They now repeat the same experiment with a bag of 140 marbles. This time, Giulio notices the difference in the weight only after Jim has added 10 marbles. This scenario BEST illustrates:
Answer:
Weber's Law
Step-by-step explanation:
Weber's law States that it is a mathematical model of the difference threshold stating that the magnitude needed to detect a physical change in a stimulus is proportional to the absolute magnitude of that stimulus. Thus, the more intense the stimulus, the greater the change that must be made in it to be noticed.Use similar triangles to calculate the height, h cm, of triangle ABE.
10 cm
C
+
36 cm
-X Х
E
20 cm
Submit Answer
Answer: The height is about 25 cm.
Can someone help me? It's urgent and thank you!
Answer:
x = -9, 3
Step-by-step explanation:
you cross multiply
Answer:
[tex]x=-9[/tex] or [tex]x=3[/tex]
Step-by-step explanation:
Cross multiply:
[tex]3/x+6=x/9\\\\\\(3) * (9)=x*(x+6)\\\\\\27=x^{2} +6x[/tex]
Subtract x^2 +6x from both sides:
[tex]27-(x^{2}+6x )=x^{2} +6x-(x^{2} +6x)\\\\\\-x^{2} -6x+27=0[/tex]
Factor left side of the equation:
[tex](-x+3)(x+9)=0[/tex]
Set factors equal to 0:
[tex]-x+3=0[/tex] or [tex]x+9=0[/tex]
Therefore, [tex]x=3[/tex] or [tex]x=-9[/tex]
hope this helps.....
A deck of cards is made up of 4 suits: clubs, diamonds, hearts, and spades.
Each suit has 13 cards with
this range: 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, and A.
If you are trying to calculate the probability of getting an even number when
picking one card from a normal deck, what is the size
of the sample space?
O A. 52
B. 5
C. 13
D. 26
Answer:
i think the answer is c cuz theres 36 number cards
please help i need to pass math class
Answer:
4. (B)
5. (C)
6. (C)
7. (B)
8. (B)
9. (D)
10. (B)
Hope this helps! Have a nice day!
Step-by-step explanation:
What value of x would make the inequality true?
2x + 5.5 < 20
A) 19/2
B) 9/4
Part two
What other value of x would make the same inequality true?
2x + 5.5 < 20
C) 5
D) 7.25
Giving brainlest!!!
Answer:
whats?
Step-by-step explanation:
Answer:
19/2 and 7.25
Step-by-step explanation:
1.
19/2=9.5
2×9.5+5.5=
19+5.5=
24.5
24.5 <20
verified
2.
2×7.25+5.5<20
14.50+5.5 <20
20 <20
verified
please mark as brainliest answer
is this correct please help!
Answer:
Almost...
The correct answer would be
To find the area of the base, multiply 15 times 16 then divide by 2
Then multiply by 19 to find the volume of the shape
Step-by-step explanation:
The base is a triangle
The area of a triangle = base length times height divided by 2
The triangle has a base length of 16 and a height of 15
So to find the area of the base we multiply 15 times 16 and divide that by 2
The volume of a prism is equal to the area of the base times the length of the prism
The length of the prism is 19 so we would then multiply by 19