Answers
Answer:
a = 72 mm is the answer.
Step-by-step explanation:
a = ?
b = 21 mm
c = 75 mm
According to the Pythagoras theorem
a² + b² = c²
a² + 21² = 75²
a² + 441 = 5625
a² = 5625 - 441
a² = 5184
a = 72 mm
∴ a = 72 mm is the length of the missing leg.
Related Questions
Please help!!! Evaluate sin(x)
A. 2.125
B. 0.4706
C.0.8824
D.0.5333
Answers
Answer:
sin x = 0.4706
Step-by-step explanation:
Given that,
Height, h = 8
Base, b = 15
Let H be the hypotenuse of the triangle. Using Pythagoras theorem,
[tex]H=\sqrt{8^2+15^2} \\\\H=17[/tex]
We know that,
[tex]\sin\theta=\dfrac{h}{H}[/tex]
So,
[tex]\sinx=\dfrac{8}{17}\\\\\sin x=0.4706[/tex]
So, the correct option is (b).
3/4 Ravi is as tall as Sam, Mike is as tall as 5/3 Ravi. Find the ratio of Mike's height to Sam's height.
Answers
Answer: The ratio of Mike and Sam Heights are S:M=5:4
Step-by-step explanation:
Ravi is 3/4 as tall as Sam.
Consider the equation is 3/4 *R=S
Mike is 5/3 as tall as Ravi.
Then, the equation is 5/3 *M=R
Solve the two equation to find ratio of mikes and sam height.
3/4*R=S Eq(1)
Rearranging eq (1) for R
R=4/3 *S Eq(3) made from eQ (1)
R=5/3*M Eq(2)
Comparing Eq 2 &3 equations
4/3*S=5/3*M
S/M=(5/3)*(3/4)
S/M=5/4
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
Answers
Answer:
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]
by using Pythagoras law:
h²=p²+b²
x²=9²+12²
x=√225=15unit
You randomly choose one of the chips. Without replacing the first chip, you choose a second chip. Find
the probability of choosing the first chip, then the second chip.
White and not a Green
Answers
Answer:
probability = 0.07777
Step-by-step explanation:
there are 10 chips
white 1
red 4
green 2
blue 3
the probability of choosing the W chip is 1/10 or 0.10
now there are 9 chips left (the first chip was not replaced)
the probability of choosing a non-green chip is (9-2)/9 = 7/9 = 0.7777
so now I THINK you multiply the two probabilities to get the total probability
probability = 0.1 ·0.7777
probability = 0.07777 which makes sense it has to be less than 0.1
Answer:
1/15
Step-by-step explanation:
2/10 x 3/9= 6/90
6 divided by 6
90 divided by 6
=1/15
What are the restrictions on x? square root of 5x^2
Answers
Step-by-step explanation:
there are actually no restrictions. even with a negative x, squaring it makes for a positive result.
Sophie needs to determine the amount of water that will fit into her new vase, shown below.
Which combination of geometric shapes can she use to best estimate the vase's volume?
A cone and a hemisphere
A cylinder and a sphere
A truncated cone and a sphere
A truncated pyramid and a hemisphere
Answers
Answer:A truncated cone and a sphere
Step-by-step explanation:
I just did it.
The combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
Sophie needs to determine the amount of water that will fit into her new vase, as shown below.
What is the volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
We have to determine the combination of geometric shapes can she use to best estimate the vase's volume.
Therefore the combination of geometric shapes can she use to best estimate the vase's volume is a truncated cone and a sphere.
To learn more about the volume visit:
https://brainly.com/question/1972490
#SPJ2
Find the surface area of the rectangular prism below.
Answers
Answer:
630 ft
Step-by-step explanation:
(11 * 15) * 2 = 330 ft
(5 * 15) * 4 = 300 ft
330 + 300 = 630 ft
Graph y = 3x – 3 using the slope and y-intercept.
Answers
-3/8 divided by -1/4 equals
Answers
Answer:
3/2 or 1.5 or 1 1/2
Step-by-step explanation
To divide, you must switch the -1/4 to its reciprocal which is -4/1 and then multiply the fractions (-3/8 * -4/1) and since negative - negative = positive. It's a positive.
How much money is 15% of $ 14.99
Answers
Answer:
The discount is $2.25 and the final price will be $12.74
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 14.99 × 15/100
Discount = 14.99 x 0.15
You save = $2.25
Final Price = Original Price - Discount
Final Price = 14.99 - 2.2485
Final Price = $12.74
hope this helps and is right. p.s. i really need brainliest :)
Answer:
$12.74
Step-by-step explanation:
15% of 14.99 dollars
14.99-2.25=12.74
Final answer=12.74 dollars
Solve the formula Ax + By = C for A
Answers
Ax=C-By
A=C-By/x
The area of a triangle is 92 square inches. The base is 23 inches. What is the height in inches? Do not include units in your answer.
Answers
Answer:
34,5 ?? I am not good at this but I did 92-23 that's 69 ÷ 2 = 34.5 ?
Answer:
Step-by-step explanation:
We can use the formula for the area of a triangle, to help us find the height:
Area=12⋅b⋅h
Using the formula for area, we can solve for the height by plugging in the information we have about the area and the base:
92=12⋅23⋅h
Isolate h by multiplying both sides by 2 and dividing both sides by 23.
hh=2⋅9223=8
The height is 8 inches.
In a race, 24 out of the 25 bicyclists finished in less than 57 minutes. What percent of bicyclists
finished the race in less than 57 minutes? Write an equivalent fraction to find the percent
NO LINKS
Answers
Which equation could be used to find the
total cost cif Fernando wanted to buy
8 pencils from the school store?
Answers
Answer:
A. C=0.15*8
Step-by-step explanation:
3 pencils for $0.45, think about how much one pencil costs? so divide 0.45 by 3 and get 0.15 which basically means 1 pencils is 15 cents, multiply that by the amount of pencils fernando wants which is 8 and that's your equation
What is y if x= -2 and y = 1/2x?
if you do links i will band you
Answers
y=1/2(-2)
y =1/-4
find the expression as the cosine of an angle
cos pi/4 cos pi/9 - sin pi/4 sin pi/9
Answers
Answer: cos(13pi/36)
Step-by-step explanation: just did the assignment
Find the value of x. Round to nearest tenth. A=53sq.in.
Answers
Answer:
50sq.in
hope it helps.
What is the solution to this equation?
2x + 10 = 28
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.
Answers
Hopefully this helps
How many pairs of opposite sides are parallel? no pairs 1 pair 2 pairs
Answers
Answer:
no pairs of opposite sides are parallel
Answer:
no pairs
Step-by-step explanation:
none of the sides line up straight with each other
hope this helps! :)
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Answers
Step-by-step explanation:
Hello friend nice to meet you....
Answer:
What ever you want it to be
Step-by-step explanation:
nooo
What is the volume of the prism? m 14 m 6 m 8 m
Answers
Answer:
672
Step-by-step explanation:
It is right on Edge 2021
Factorise the expression
Answers
it is not possible
that expression is not factorable with rational numbers
rational means - A number that can be expressed as the ratio of two integers.
What is the answer to 4 x n
Answers
Answer:
4n
Step-by-step explanation:
you multiply 4 x n= 4n
:')
Find the perimeter pt3
Answers
Answer:
28
Step-by-step explanation:
2x3x2x2=28 the permiter is the area around the shape like lenght witdth and heght
help help Find the surface area of the figure !
Answers
Answer: 340 in. squared
Step-by-step explanation:
17*7=119
15*7=105
8*7=56
8/2*15=60
119+105+56+60=340 in.^2
Explain how to find mode, range, and mean
Answers
Step-by-step explanation:
The mean is the usual average, so add all of the numbers and then divide.
The mode is the number that is repeated more often than any other.
The range is the largest value and smallest value subtracted.
Answer:
Answer bellow
Step-by-step explanation:
To find mean(average) get all the numbers and and add them together after devide the added number by the number of numbers
To find mode rewrite all the numbers and look for numbers that are repeating (it can be more than one)
To find range take the biggest number from the data set and subtract it from the smallest number in the data set
write an equivalent expression 8(y-7z+1)
Answers
Answer:
8y−56z+8
Step-by-step explanation:
Pls help !! Pls no links :)
Answers
Answer:
A 5 <= A <= 40
Step-by-step explanation:
down point is (5, 50)
up point (40, 350)
so 5 <= A <= 40
A scale model of an object has a scale of 1cm : 2ft. The actual object is 11 feet tall. How tall is the model?
Answers
Given:
The scale model of an object has a scale of 1cm : 2ft.
The actual object is 11 feet tall.
To find:
The height of the model.
Solution:
It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.
Let the height of the model be x cm.
[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]
[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]
[tex]x\ cm=5.5\ cm[/tex]
Therefore, the model is 5.5 cm tall.
3. Write the equation of the circle with a center at (-6, 1) and an area of 7n.
A Q(x + 6)^2 + (y - 1)^2 = 14
B (x - 6)^2 + (y + 1)^2 = 49
C (x + 6)^2 + (y - 1)^2 = 49
D (x + 6)^2 + (y - 1)^2 = 7
E (x - 6)^2 + (y + 1)^2 = 7
Answers
Answer:
D [tex] (x +6) ^2 +(y-1)^2 =7 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-6, 1)
Area of the circle [tex] =\pi r^2 [/tex]
[tex] 7\pi=\pi r^2 [/tex]
[tex] \frac {7\pi}{\pi} =r^2 [/tex]
[tex]r^2=7[/tex]
[tex]r=\sqrt 7[/tex]
Radius [tex] r=\sqrt {7}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 6)] ^2 +[y-1 ]^2 =(\sqrt {7})^2 [/tex]
[tex] (x +6) ^2 +(y-1)^2 =7 [/tex]