Write a function that has x-intercepts at x=4 and<br> X=- 6 and vertical asymptotes at x=5 and x =3

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0

3 years ago

Read 2 more answers

What is –9. 2(8x – 4) 0. 7(2 6. 3x) simplified? –69. 19x – 32. 39 –69. 19x 38. 2 –72. 2x 41. 21 75x – 338. 2.

trasher [3.6K]

The simplified form of the equation is $\rm -69.19x+38.2$ .

<h2>Given that</h2>

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>We have to determine</h3>

The simplified form of the equation;

<h3>According to the question</h3>

To determine the simplified form of the equation following all the steps given below.

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>To simplify the equation multiple the terms and solve.</h3>

Then,

The simplified form of the equation is,

$\rm =-9.2(8x - 4) + 0.7(2 + 6.3x)\\
\\
= (-9.2) (8x)- (-9.2)(4) + (0.7)(2) + (0.7) (6.3x)\\
\\
=-73.6x -(-36.8) +(1.4)+(4.41x)\\
\\
= -73.6x+36.8+1.4+4.41x\\
\\
=-69.19x+38.2$

Hence, The simplified form of the equation is $\rm -69.19x+38.2$ .

To know more about Equation click the link given below.

brainly.com/question/26252222

3 0

2 years ago

Write 800+60+4 in standard form

NNADVOKAT [17]

864=800+60+4 800 in the hundreds place 60 in the tens place and 4 in the ones place

5 0

3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28

V125BC [204]

Answer:

Y= x-7

Step-by-step explanation:

5 0

2 years ago

Find the area of each figure. round to the hundredths place when necessary

notsponge [240]

Answer:

115.48 $m^{2}$

Step-by-step explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π $r^{2}$

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π $r^{2}$

A = π * $3.5^{2}$

A = 38.38 $m^{2}$

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77 $m^{2}$

Total Area = Circle area + Rectangle area

Total Area = 38.38 + 77 = 115.48 $m^{2}$

6 0

3 years ago

Write a function that has x-intercepts at x=4 and X=- 6 and vertical asymptotes at x=5 and x =3