The figure below consists of a square and a right triangle. Find the missing length x.
Answers
Answer:
12
Step-by-step explanation:
pythagorean theorem
Related Questions
find the value of x
Answers
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]
The bearing of a point K from a point L is 084 degrees. What is the bearing of L from K
Answers
Answer:
if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree
The bearing of a point L from a point K is 264 degrees.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The bearing of a point K from a point L is 084 degrees.
Now,
Since, The bearing of a point K from a point L is 084 degrees.
Hence, The bearing of a point L from a point K = 180° + 84°
= 264°
Thus, The bearing of a point L from a point K is 264 degrees.
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Six coins are tossed simultaneously what is the probability of getting exactly 4 heads
Answers
The probability of getting exactly 4 heads is 0.23.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Let p represents the probability of getting head in a toss of a fair coin, so
[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]
Let X denote the random variable representing the number of heads in 6 tosses of a coin.
The probability of getting r sixes in n tosses of a fair is given by,
Probability of getting 4 heads :
[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]
Hence, the probability of getting exactly 4 heads is 0.23.
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PLEAASE SOMEONE HELP ME IM SO STUCK
finish the table using the equation y= x/2
Answers
How many words have i written
Answers
Answer:
6
Step-by-step explanation:
the diameter of a circle is 13.8cm. Find the length of its radius
Answers
Hello!
R = D/2
R= 13,8/2 => 6,9cm
The length of the circle's radius is 6.9 cm.
The diameter of a circle is twice the length of its radius. So, to find the length of its radius (r), you can divide the diameter (d) by 2.
Given: Diameter (d) = 13.8 cm
Length of radius (r) = d / 2
r = 13.8 cm / 2
r = 6.9 cm
The length of the circle's radius is 6.9 cm.
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if a:b =2:3 write b as a fraction of a
Answers
Answer:
given ,
[tex]\fbox{a:b = 2:3}[/tex]
According to Question ,
we've to write b as a fraction of a.
thus , we know that
[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]
now to represent b as a fraction of a ,
we'll have to consider the ratio as b : a
which means ,
[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]
_____________________________
_____________________________
hope helpful :D
Answer:
b = [tex]\frac{3}{2}[/tex] a
Step-by-step explanation:
express the ratios in fractional form
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2b = 3a ( divide both sides by 2 )
b = [tex]\frac{3}{2}[/tex] a
A (2, 2)
b (0,3)
c (2, 4)
rhombus abcd has the coordinates listed. find the coordinates of point d.
es )
a)
)
(4.3)
b)
(3,4)
c)
(3.3)
d)
(4.4)
Answers
Answer:
I think its 3,4 maybe
Step-by-step explanation:
try it out but I'm not sure
Jaden is looking up at the top of a 56 Foot
rock climbing wall
. If Jaden is standing 15 feet
from the base of the wall,
what is the angle
of elevation from Jaden to the top of the wall?
Answers
noooooooooooooooooooolo
A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?
Answers
Answer:
7 pigs, 16 chickens
Step-by-step explanation:
p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23
System of Equations:
Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legsThen, use substitution & solve:
[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c
[tex]23-p=c\\23-7=c\\c=16[/tex]Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]
To check your work, plug those solutions back into the system.------
(I hope that helps & good luck! <3)
A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?
Answers
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
How to calculate the probability?The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
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anyone know the answer to this
Answers
Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]
Step-by-step explanation:
The first option is not because the numerator and denominator are flipped.
The second option is not because this one is positive while the one given is negative.
The third option is equivalent.
The fourth option is equivalent.
The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.
Answer:
[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)
Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
Answers
By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.
How to get the area of the rectangle?
For a rectangle of length L and width W, the area is:
A = L*W
And the perimeter is:
P = 2*(L + W).
In this case, we know that the length is 5ft longer than the width, so we can write:
L = W + 5ft
We also know that the perimeter is 50ft, so we can write:
P = 50ft = 2*(W + 5ft + W)
50ft = 4*W + 10ft
40ft/4 = W = 10ft
So the width is 10 ft, and then the length will be:
L = 10ft + 5ft = 15ft
So the area of the rectangle is:
A = 10ft*15ft = 150 ft^2
She will need 150 ft^2 of flooring.
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I'm hopeless at these pls help
Answers
Answer:
x = -14 I hope this helps :)
PLEASE HELP ASAP NO LINKS
Henry has a part-time job selling computers. He works 6.5 hours each day,
• The function p(x) = 65 + 25x models his daily earnings, where x is the number
sells during the day.
• Henry sells 3 to 10 computers per day.
Which interval contains all of the values in the range of the function
(A) 3 5 p(x) S 10
(В
10 s p(x) S 185
C
75 s p(x) S 250
D) 140 S P(x) S 315
Answers
function : p(x) = 65 + 25(x)
for 3 sells
p(3) = 65 + 25(3)p(3) = 140for 10 sells
p(10) = 65 + 25(10)p(10) = 315So,
140 ≤ p(x) ≤ 315
Answer:
D) 140 ≤ p(x) ≤ 315
Step-by-step explanation:
Domain
Henry sells 3 to 10 computers per day3 ≤ x ≤ 10Range
To find the range, input the values of the domain of the functionp(3) = 65 + 25(3)p(3) = 65 + 75 = 140p(10) = 65 + 25(10) p(10) = 65 + 250 = 315Range ⇒ 140 ≤ p(x) ≤ 315Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15 feet in length by 10 feet in width by 8 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $3 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $30 and can cover 275 ft².
What is the total cost of the hardwood flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
Answers
Answer:
Total floor: 150 sq ft = $450
Wall and Ceiling: 550 sq ft = $60
Total cost $510
Step-by-step explanation:
Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft
150 sq ft * $3 = $450
Walls: 2(H * L) = 2(8*15) = 240 sq ft
2(H * W) = 2(8*10) = 160
Total walls sq ft = 400 sq ft
Ceiling is same as floor = 150 sq ft
Total sq ft painted = 550 sq ft
550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60
$450 floor + $60 paint = $ 510
Answer:
$510
Step-by-step explanation:
The floor of the room measures 15 ft in length and 10 ft in width.
The area of the floor is length × width = 15 ft × 10 ft = 150 ft².
The hardwood costs $3/ft².
The cost of the hardwood is: $3/ft² × 150 ft² = $450
The area of the walls is the lateral surface area of the rectangular prism.
The lateral surface area of the rectangular prism is the perimeter of the base times the height.
perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft
height = 8 ft
lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²
The paint costs $30/(275 ft²).
She needs to paint 400 ft².
400 ft² / 275 ft² = 1.45
She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.
Cost of paint: 2 × $30 = 60
Total cost of hardwood and paint = $450 + $60 = $510
The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answers
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.
Answers
https://www.perfection-events.com/content/back-basics-coffee-essentials
Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.
What is the area of the city block?The area of the city block is calculated from the product of the dimensions provided:
The city block is in form of a square, hence it's area = side × side
Dimension of city block = 300 feet by 300 feet.
Area of city block = 90000 square feet
Half of area of city block = 45000 square feet
1 gallon covers 13.8 square feet
400 gallons will cover = 400 × 13.8 = 5520 square feet
The area 400 gallons of coffee will cover is less than 45000 square feet.
Therefore, the news caster's claim is wrong.
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pick correct anser for 10 points !!!
Answers
Answer:
[D] a/b < d
Step-by-step explanation:
a = -1.25
b = 1
c = 0.5
d = 1.25
Now Solve the statement:
a/d > c
substitute
-1.25/1.25 which is -1
-1 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c < ab
substitute
0.5 < (-1.25)(1)
0.5 < -1.25
Thus, this is false.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a > bc
-1.25 > (1)(0.5)
Hence,
-1.25 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a/b < d
-1.25/1 < 1.25
-1.25 < 1.25
Thus, this is true
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hence, Answer is [D] a/b < d
[RevyBreeze]
The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answers
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
which is larger 0.849 or 1.08
Answers
Answer:
the answer to this question is 1.08
change 1.77 tones to kilograms
Answers
Answer:
1770
Step-by-step explanation:
multiply the mass value by 1000
that is the easy way
please answer this i need help
Answers
Answer:
X=70⁰
Step-by-step explanation:
Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.
Answer:
x=70
Step-by-step explanation:
Angle X and 70⁰ are corresponding angles.
Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answers
Answer:
c
Step-by-step explanation:
10788 divided by 31 what it the answer
Answers
Answer:
348
Step-by-step explanation:
hope this helps
Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5
Answers
Answer:
B is the correct answer
Step-by-step explanation:
42/7 = 6
60/6 =10
How much would you have after 4 years if you invested $1250 with a quarterly compounding interest rate of 5%?
Answers
Using compound interest, it is found that you would have $1524.86.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem, we have that the values of the parameters are given by: P = 1250, r = 0.05, n = 4, t = 4. Hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(4) = 1250\left(1 + \frac{0.05}{4}\right)^{4 \times 4} = 1524.86[/tex]
Tou would have $1524.86.
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20 points, A right rectangular prism is 9.5 inches long, 4 yards wide and 3 yards tall what is its volume?
Answers
Answer:
114
Step-by-step explanation:
You first have to do L x W x H
which will be 9.5 x 4 x 3
that gives you 114
which is the answer 114!!
Can you help me solve for #1 please?
Answers
Answer:
x = 15
It is a Pythagorean triple.
Step-by-step explanation:
1.
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
x = 15
The three numbers, 9, 12, 15 do form a Pythagorean triple since they are integers.
use the muliplier method to increase 88 pound by 14% show your working
Answers
Answer:
100.32
Step-by-step explanation:
Since the question is asking to INCREASE, you want to multiply 88 by 1.14
This is because a percent is a number multiplied by 100 (For example 0.1 is 10%)
Whenever you want to increase by a percent, you add 100% to the number.
So:
88 * 1.14 =
100.32