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3 years ago

Please help fast Prefer A Expert or Above to Help Me out it’s the bottom one!

Mathematics

1 answer:

erastova [34]3 years ago

7 0

<h3>Answer: 45</h3>

The value is approximate.

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Explanation:

Focus on the upper triangle.

Label the unknown horizontal side as y

Use the pythagorean theorem to solve for y

a^2+b^2 = c^2

10^2 + y^2 = 26^2

100+y^2 = 676

y^2 = 676-100

y^2 = 576

y = sqrt(576)

y = 24

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Now move to the bottom triangle

With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.

Use the sine rule to connect the two and solve for x

sin(angle) = opposite/hypotenuse

sin(32) = y/x

sin(32) = 24/x

x*sin(32) = 24

x = 24/sin(32)

x = 45.2899179551967 which is approximate

x = 45 rounding to the nearest whole number

Side x is approximately 45 cm long.

Note: make sure your calculator is in degree mode.

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The length, width, and height of a right rectangular prism are multiplied by 23. What will be the effect on the volume of the pr

Yanka [14]

Since none of the options make sense with 23, I assume it was a typo, and you meant 2/3.

Let l,w and h be the length, width and height of the original prism, and l',w' and h' be the length, width and height of the new prism. We are given

$l' = l\times \cfrac{2}{3},\quad w' = w\times \cfrac{2}{3},\quad h' = h\times \cfrac{2}{3}$

Also, if we call V the original volume, and V' the volume of the new prism, we have

$V = lhw,\quad V'=l'h'w'$

Substitute the expressions for l', h' and w' in the formula for V':

$V'=l'h'w' = l\times \cfrac{2}{3}\times w\times \cfrac{2}{3}\times h\times \cfrac{2}{3} = l\times h \times w \times \cfrac{2}{3}\times\cfrac{2}{3}\times\cfrac{2}{3} = V \times \left(\cfrac{2}{3}\right)^3 = V\times\cfrac{8}{27}$

4 0

3 years ago

A manhole cover has a radius of 12 inches what is the diameter of the manhole cover?

kompoz [17]

The diameter of a circle is the distance across at its widest point (right through the center). The radius is the distance from any point on the circle to the center (which means it's half of the diameter. Since we know the radius of the manhole cover is 12 inches then...

diameter = 2 × r
diameter = 2 × 12
diameter = 24 inches

3 0

4 years ago

Find the area of the shaded region

SOVA2 [1]

We know that, Area of a Circle is given by : πR²

Where : R is the Radius of the Circle.

We can Notice that : The Given Figure is One - Fourth of the Circle with Radius 'R'

$\mathsf{\implies Area\;of\;One\;Quarter\;of\;the\;Circle = \frac{\pi R^2}{4}}$

We can Notice that : The Quarter of the Circle is divided into 3 Equal Parts and The Shaded Region is One of the Equal Part.

$\mathsf{\implies Area\;of\;Shaded\;Region = \frac{\frac{\pi R^2}{4}}{3}}$

$\mathsf{\implies Area\;of\;Shaded\;Region = {\frac{\pi R^2}{12}}}$

3 0

3 years ago

Read 2 more answers

PLEASE HELP<br> Will give brainliest and 5.0 rating xx

OLEGan [10]

Answer:

-4 , -1

Step-by-step explanation:

( -4 is the X- axis [ the horizontal line] and 1 is the y-axis [the vertical line] ) move ur finger to -4 on the left and go up to 1. Now move ur finger down 2 times . ur finger will be on -4 which is the x- axis and -1 for the y - axis

7 0

2 years ago

I really hope you can see it if you can’t please ask me what it says cause I really need help

soldier1979 [14.2K]

Answer:

1. 20 cm^2

2. 40 cm^2

3. 14 cm^2

4 49 cm^2

Step-by-step explanation:

Area of triangle= 1/2(base)*(height)

Area of rectangle= (base)*(height)

1. 1/2(10)(4)=20

2. (8)(5)=40

3.1/2(4)(7)=14

4. (7)(7)=49

5 0

3 years ago