Help me guys? Please

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

. Find two consecutive odd integers whose product is 99. (Note: There are two different pairs of consecutive odd

Tom [10]

Answer:

9 and 11

Step-by-step explanation:Let the 2 consecutive odd integers be n and n+2.

n(n + 2) = 99

Solve for n.

n2 + 2n - 99 = 0

(n + 11)(n - 9) = 0 ⇒

Two solutions:

n = -11

n + 2 = -9

and

n = 9

n + 2 = 11

Test the answers.

4 0

3 years ago

Complete the puzzle by clicking on the puzzle piece that contains equivalent expression.

Liono4ka [1.6K]

Answer:

-5 when ...

Step-by-step explanation:

The rules of exponents can help you simplify the given product.

<h3>Rules</h3>

(a/b)^c = (a^c)/(b^c)

(ab)^c = (a^c)(b^c)

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

<h3>Application</h3>

$\left(\dfrac{x}{y}\right)^2(-x^2y)^3=\\\\\dfrac{x^2(-1)^3(x^2)^3y^3}{y^2}=-x^{2+2\cdot3}y^{3-2}=-x^8y$

This expression does not match any of those offered.

When x=-1 and y=5, this becomes ...

$-(-1)^8(5)=\boxed{-5}$

8 0

1 year ago

Identify square root of 3 as either rational or irrational, and approximate to the tenths place.

dmitriy555 [2]

Answer:

It is an irrational number, $\sqrt{3}$ as a decimal rounded to the tenth place is 1.7

Step-by-step explanation:

All square roots are irrational numbers

3 0

3 years ago

Read 2 more answers

Smallville High School scored more than 30 points in their last football game entirely from safeties and field goals. (In

Reika [66]

Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the safety counts be represented by x, while the field goal count is represented by y.

Part A: The inequality for this scenario in standard form.

2x + 3y > 30

Part B: The inequality in slope-intercept form.

2x + 3y > 30

3y > 30 - 2x

y > 10 - (2/3)x

y < (2/3)x - 10

PartC: The inequality is represented below.

Learn more about Inequality:

brainly.com/question/19491153

#SPJ1

7 0

1 year ago