In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Find the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.

Answer:

A = 76

Step-by-step explanation:

Formula of the area of a triangle: [tex]A=\frac{h*b}{2}[/tex]

Formula of a rectangle: [tex]A=l*w[/tex]

So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...

Now using the formula of the triangle...

A = [tex]\frac{7*8}{2}[/tex]

= 28

Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8

Now using the formula of the rectangle...

A = [tex]13*8[/tex]

= 108

Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...

[tex]108 - 28 = 76[/tex]

Answer:

The perimeter of the given parallelogram increases to four times the current value

Step-by-step explanation:

The given dimensions of the parallelogram are 8 cm by 10 cm

Therefore, the perimeter of the given parallelogram, 'P₁', is found as follows;

P₁ = 2 × 8 cm + 2 × 10 cm = 16 cm + 20 cm = 36 cm

The perimeter of the given parallelogram, P₁ = 36 cm

When each side of the parallelogram are multiplied by 4, we get;

The new sides of the parallelogram = 4 × 8 cm = 32 cm and 4 × 10 cn = 40 cm

The new perimeter of the parallelogram, P₂ = 2 ×32 cm + 2 × 40 cm = 144 cm

Therefore, the perimeter, P₂ is P₂/P₁ times larger than the perimeter P₁

P₂  = (144 cm)/(36 cm) × P₁

∴  P₂  = 4 × P₁

The change in the perimeter after multiplying each side of the given parallelogram by 4 is that the perimeter of the given parallelogram increases to four times the current value

Answer:

Number (n)

Cubes (n3)

1-1

2-8

3-27

4-64

5-125

6-216

7-343

8-512

9-729

10-1000

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Anything to the 0 power is 1.

Hope this helps!

:)

Answer:

the answer is one.

Step-by-step explanation:

anything to the power of zero is one

Answer:

Terrence spend more time walking his dog .

Step-by-step explanation:

3/5 = 0.6

1/3 = 0.333

0.6>0.333

Answer: I think it’s c

Step-by-step explanation:

Answer:

[tex]Probability = \frac{243}{1024}[/tex]

Step-by-step explanation:

Given

[tex]Sum = \{7, 11, 12\}[/tex]

[tex]Rolls = 5[/tex]

Required

Probability of not getting audited

If a pair of dice is rolled, the following are the observations of the sum

[tex]Outcomes = 36[/tex]

[tex]Sum\ of\ 7 = 6[/tex]

[tex]Sum\ of\ 11 = 2[/tex]

[tex]Sum\ of\ 12 = 1[/tex]

So, in a single roll; The probability of getting audited is:

[tex]p= \frac{1 + 2 + 6}{36}[/tex]

[tex]p= \frac{9}{36}[/tex]

[tex]p= \frac{1}{4}[/tex]

The probability of not getting audited in a single roll is:

[tex]q = 1 - p[/tex] --- Complement rule

[tex]q = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]q = \frac{4 - 1}{4}[/tex]

[tex]q = \frac{3}{4}[/tex]

The probability of not getting audited in 5 rolls is:

[tex]Probability = q^5[/tex]

[tex]Probability = (\frac{3}{4})^5[/tex]

[tex]Probability = \frac{3^5}{4^5}[/tex]

[tex]Probability = \frac{243}{1024}[/tex]

Answer:

7x²(3x-7)

Step-by-step explanation:

21x³ - 49x²

7(3x³ - 7x²)

7x²(3x - 7)

Answer:

either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend

Answer:

3,825 y³

Step-by-step explanation:

Answer:

82.5 is the right answer

Answer:

[tex]f^{-1}[/tex](x)=2x+10

Step-by-step explanation:

f(x)=[tex]\frac{x}{2}[/tex]-5

Let y= [tex]\frac{x}{2}[/tex]-5

y= [tex]\frac{y}{2}[/tex]-5

x+5= [tex]\frac{y}{2}[/tex]

Both side multiple 2,

2x+10=y

[tex]f^{-1}[/tex](x)=2x+10

Answer:

7,4

Step-by-step explanation:

Answer:

x = 0.99

x will equal 0.99. Have a good day.

Answer:

Step-by-step explanation:

1.5 rounded to the nearest tenths

Answer:

3200 ft-lb

Step-by-step explanation:

To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]

At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]

After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]

Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.

If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]

Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]

We are now ready to calculate the work done by the rope on the bucket.

Since the displacement and the force are in the same direction, we can write

[tex]W=\int_{t=0}^{t=36} F d x[/tex]

Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]

[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]

[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]

[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]

[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]

[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]

Answer:

z > 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

15.6 < 2.7(z - 1) - 0.6

Step 2: Solve for z

Here we see that any value z greater than 7 would work as a solution to the inequality.

The size he should bring more of is small and is denoted as option C.

This is a term which refers to the number of goods sold within a given period of time.

Given that, a vendor is thinking about changing the number of sweatshirts he brings to an event.

To make sure he doesn't run out, he plans to bring more of the size most likely to be sold.

we need to determine that which size should he bring more of,

So, here according to the table,

Small size has the smallest remaining which is 9 when the difference between the number sold and number put up for sale is calculated.

This is therefore why bringing more of small size will ensure he doesn't run out of stock in the next event as more people prefer it.

Hence, the size he should bring more of is small and is denoted as option C.

Read more about Sales here,

brainly.com/question/24951536

#SPJ7

Answer:

(22,0)

Step-by-step explanation:

y=mx+b

y=-2/3x+44/3

0=-2x/3+44/3

x=22

(22,0)

Answer:

B. Yes! Jason has printed 73/100 of the posters needed.

Step-by-step explanation:

7/10(1500) = 1050 minimum to print

1500-400 = 1100 printed

1100/1500 = 73/100

Answer:

78.5

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

Answer:

[tex]\displaystyle V = 972 \pi \ ft^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Step-by-step explanation:

Step 1: Define

Radius r = 9 ft

Step 2: Solve for V

Answer:

What is the length of EF? 28

What is the measure of D? 47 degrees

This question is incomplete, the complete question is;

4. A scale measuring trust inthe media was administered to a random sample of 114 Democrats and 112 Republicans. The researcher finds that Democrats average a score of 8.5 on this scale, while Republicans average a score of 7.8. Together the Democrats and Republicans have a pooled standard error of .32. Is there a statistically significant difference between Democrats and Republicans in their level of trust in the media (at the alpha = .05 level )

Answer:

p-value 0.0297

Hence, p value ( 0.0297 ) is LESS THAN ∝ ( 0.05 )

Therefore, this is sufficient evidence to conclude that there is difference between Democrats and Republicans in their level of trust in the media.

Step-by-step explanation:

Given the data in the question;

H₀ : u₁ = u₂

Hₐ : u₁ ≠ u²

test statistics

t = x - u / s

we substitute

t = ( 8.5 - 7.8 ) / 0.32

t = 0.7 / 0.32

t = 2.1875

∝ = 0.05

degree of freedom = n₁ + n₂ - 2 = 114 + 112 - 2 = 224

so

{t[tex]_{\alpha /2[/tex], [tex]_{df[/tex] } =  {t[tex]_{0.025[/tex], [tex]_{224[/tex] } = 1971

p-value = 0.02974

p-value 0.0297

Hence, p value ( 0.0297 ) is LESS THAN ∝ ( 0.05 )

Therefore, this is sufficient evidence to conclude that there is difference between Democrats and Republicans in their level of trust in the media.

He ate 1/2 of the carrot

---

hope it helps

sorry if it doesn't

Answer:

4x3x2x1=24

Step-by-step explanation: