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2 years ago

What does the expression 2(21x + 75) represent

Mathematics

1 answer:

Alla [95]2 years ago

3 0

Answer:

42x+150

Step-by-step explanation:

=(2)(21x+75)

=(2)(21x)+(2)(75)

Is there a story that goes with the question.

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3 years ago

-9 ÷ ____ =5<br><br><br>(fill the blank)

Alona [7]

Answer:

The answer is -1.8

Step-by-step explanation:

5 x -1.8 = -9 = -9 divided by -1.8 = 5

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2 years ago

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Find the range of the function f(x) = 3x² - 2x for the domain (1, 2, 3).

TiliK225 [7]

Answer:

Step-by-step explanation:

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1 year ago

find the length of each isosceles right triangle when the hypotenuse is of the given measure given 8cm

Wewaii [24]

It is given that the triangle is isosceles right triangle . And in an isosceles right triangle the legs are equal . Let each leg be of x units. Now we use pythagorean identity, which is

$a^2 +b ^2=c^2$

$x^2 +x^2 = 8^2$

$2x^2 = 64$

$x^2 = 32$

$x = 4 \sqrt 2$

So the length of each leg is $4 \sqrt 2 .$

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2 years ago

1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is $53.13\°$

Part 2) The surface area of the pyramid is $288\ cm^{2}$

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

$sin(x)=\frac{16}{20}$

$x=arcsin(\frac{16}{20})=53.13\°$

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

$SA=b^{2}+4[\frac{1}{2}(b)(h)]$

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

$h=b/2$ -------> by an 45° angle

$b=2h$

$sin(45\°)=\frac{h}{6\sqrt{2}}$

$h=6\sqrt{2}(sin(45\°))=6\ cm$

Find the value of b

$b=2(6)=12\ cm$

Find the surface area

$SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}$

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3 years ago