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Llana [10]
3 years ago
11

A SSSB AAAC SSAD None of the choices are correct ​

Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Minchanka [31]3 years ago
3 0

Answer:

AAA

Step-by-step explanation:

We see that three set of angles are the same in the different triangle hence

It is congruent by Angle Angle Angle AAA

<UST = <QSR

<UTS = < QRS

<TUS = < SQR

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A solid right pyramid has a square base. The length of the base edge is4 cm and the height of the pyramid is 3 cm period what is
Illusion [34]

Answer:

The volume of this pyramid is 16 cm³.

Step-by-step explanation:

The volume V of a solid pyramid can be given as:

\displaystyle V = \frac{1}{3} \cdot b \cdot h,

where

  • b is the area of the base of the pyramid, and
  • h is the height of the pyramid.

Here's how to solve this problem with calculus without using the previous formula.

Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.

Refer to the sketch attached. Let the vertical distance from the vertice be x cm.

  • At the vertice of this pyramid, x = 0 and the length of a side of the square is also 0.
  • At the base of this pyramid, x = 3 and the length of a side of the square is 4 cm.

As a result, the length of a side of the square will be

\displaystyle \frac{x}{3}\times 4 = \frac{4}{3}x.

The area of the square will be

\displaystyle \left(\frac{4}{3}x\right)^{2} = \frac{16}{9}x^{2}.

Integrate the area of the horizontal cross-section with respect to x

  • from the top of the pyramid, where x = 0,
  • to the base, where x = 3.

\displaystyle \begin{aligned}\int_{0}^{3}{\frac{16}{9}x^{2}\cdot dx} &= \frac{16}{9}\int_{0}^{3}{x^{2}\cdot dx}\\ &= \frac{16}{9}\cdot \left(\frac{1}{3}\int_{0}^{3}{3x^{2}\cdot dx}\right) & \text{Set up the integrand for power rule}\\ &= \left.\frac{16}{9}\times \frac{1}{3}\cdot x^{3}\right|^{3}_{0}\\ &= \frac{16}{27}\times 3^{3} \\ &= 16\end{aligned}.

In other words, the volume of this pyramid is 16 cubic centimeters.

5 0
3 years ago
BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST<br> answer NUMBER 3 please answer quickly thank you
kherson [118]

I can’t answer anything from my side so I will guide you the best I can! Measure the highlighted lines on the image. Then record the numbers into the correct areas(length,width,height). Then multiply all of the numbers above. That’s how you answer question 3. I’m sorry that I can’t do much more on my side.

5 0
3 years ago
Read 2 more answers
How many solutions does 6x−1=34−x have
aleksley [76]

Step-by-step explanation:

6x+x=34+1

7x=35

x=35/7

x=5

Hence this equation has only one solution

4 0
3 years ago
I need help with this one math question please!
den301095 [7]

Answer:

see explanation

Step-by-step explanation:

Assuming the fractions are being multiplied

Factorise the denominators of both fractions

x² - 3x - 10 = (x - 5)(x + 2)

x² + x - 12 = (x + 4)(x - 3)

The product can now be expressed as

\frac{x-5}{(x-5)(x+2)} × \frac{x+2}{(x+4)(x-3)}

Cancel (x - 5) and (x + 2) on the numerators/ denominators, leaving

\frac{1}{(x+4)(x-3)} = \frac{1}{x^2+x-12}

3 0
3 years ago
Can you solve 4 + 2/3 x = -5 in fraction form?
guapka [62]

Answer:

\frac{-27}{2} = (-13)(\frac{1}{2})

Step-by-step explanation:

The given equation is 4 + 2/3 x = -5

Taking variable on one side and constants on other side, we get

-9 = (\frac{2}{3})(x)

x = (\frac{3}{2})(-9) = \frac{-27}{2} = (-13)(\frac{1}{2}) = -13.5

The number in decimal form is given by -13.5

The number in fraction form is given as \frac{-27}{2} = (-13)(\frac{1}{2})

3 0
3 years ago
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