Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answer:

Perimeter of base: 40 :)

10 + 10 + 10 + 10 = 40

Slant height: 13

(it gives us this information) :)

Area of base: 100

10^2 = 100

Surface area: 65000

(1/2)(100 x 13)

1/2(1300)

650

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Answer and Explanation:

1) The perimeter is the sum of the base's side lengths, so it is:

P = 10 ft * 4 = 40 ft

2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:

5^2 + h^2 = 13^2

25 + h^2 = 169

h^2 = 144

h = 12 ft

3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:

LA = 4 * (1/2)(10 * 13)

= 4 * 65

= 260 ft

4) The area of the base is the product of its dimensions:

A(base) = 10 * 10

= 100 ft^2

5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:

SA = LA + A(base)

= 260 + 100

= 360 ft^2

Answer:

400 in.

Step-by-step explanation:

V= l x w x h

V=10 x 5 x 8 =400 in.

Answer:

96.7%

Step-by-step explanation:

87/90 = 0.96666666

To make this number a percentage, we move the decimal point two places to the right. Her grade would be 96.6666 percent, which rounds up to 96.7%

Answer:

96.7%

Step-by-step explanation:

87÷90×100

Answer:

5% of his coins is 7

Step-by-step explanation:

140 X 0.05 = 7

Step-by-step explanation:

a = 7

d = 14-7 = 7

s(50) = n/2*[a+(n-1)*d]

         = 50/2*[7+(50-1)*7]

         = 8750

if you come across an exponential equation you can recognize it if you see a small number above the base number it would look something like this.

Answer:

4x+8 =5

Step-by-step explanation:

sum = +

times = Multiply

is = =

4*x +8 = 5

Answer:

4x+8=5

Step-by-step explanation:

Let's assume the number is x

Four times x plus 8 is 5

4x+8=5

***Optional

If you need to solve it...

4x+8=5

4x=-3

x= - [tex]\frac{3}{4}[/tex]

Hope this helps! :D

Answer:

d= 8.6 ft

Step-by-step explanation:

In similar triangles, the corresponding sides are in proportion.

[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]

To find the value of x,

[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]

d = 8.6 ft

Answer:

c

Step-by-step explanation:

The critical value for z for a hypothesis test using a 5% significance level is 1.65

It is given that the reporter wants to test the store's claim against the alternative hypothesis that the wait time is actually greater than 60 minutes.

It is required to find the critical value for z for a hypothesis test using a 5% significance level.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

We have a hypothesis H1 that wait time is actually greater than 60 minutes.

H1(T>60)

This is the case of the right-tailed hypothesis.

We have a significance level = 5% ⇒ 0.05

The statistics follow a normal distribution curve

Critical value = 1.6449 ≈ 1.65  (from the table at 5% significance level)

Thus, the critical value for z for a hypothesis test using a 5% significance level is 1.65

Know more about the normal distribution here:

brainly.com/question/12421652

Answer:

1046.9

Step-by-step explanation:

The formula for calculating volume of a sphere is the following:

4/3·π·r³

The question asks for you to substitute 3.14 instead of using the exact number π.

∴V=4/3·3.14·6.3^3

V=1046.86344

Now round your answer to the nearest tenth:

1046.86344 -->1046.9

∴V=1046.9

Answer:

136 tickets

You have to do 8x17

Answer:

4.245 x 10^4

Step-by-step explanation:

10^4 = 10,000

10^3 = 1,000

4.235 * 10,000 = 42,350

7.152 * 1,000 = 7,152

Answer:

80

Step-by-step explanation:

if you make a ratio table

32ginger ale = 12orange juice

now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have

16ginger ale = 6 orange juice

and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t

therefore

80 ginger ale = 30 orange juice

"7 * 4

the * is times

Step-by-step explanation:

that's it in expanded form"

Expanding the expressions:

1)

⇒ (-6)⁵

⇒ (-6)(-6)(-6)(-6)(-6)

⇒ -7776

2)

⇒ (-2)³

⇒ (-2)(-2)(-2)

⇒ (4)(-2)

⇒ -8

3)

⇒ (-3)⁴

⇒ (-3)(-3)(-3)(-3)

⇒ (9)(9)

⇒ 81

4)

⇒ (-1)⁵

⇒ (-1)(-1)(-1)(-1)(-1)

⇒ -1

Step-by-step explanation:

count the number of boxes

Answer:

x=52°

Step-by-step explanation:

because of the vertical angles theorem

Answer:

x=52°

Step-by-step explanation:

   the vertical angles theorem

Answer:

Equally Likely

Step-by-step explanation:

The answer is equally likely because equally likely events have the same probability of happening as another event.

For example, a fair coin.

It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.

Hope this helps!

If an event has a probability of 1/2 then the likelihood of this event is,

C. Equally likely.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.

A fair coin is an illustration.

Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.

learn more about probability here :

https://brainly.com/question/743546

#SPJ7

Answer: 48

Step-by-step explanation:

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

      1500    /                                    p

c = 1500 / p

Answer:

1.  The relationship between the cost per person and the amount of persons sharing the cost is an inverse relationship because as the number of persons sharing the cost increases the cost per person decreases.

2. c = 1500 / p

Step-by-step explanation:

1. Lets look at the cost comparison per number of tenants.

1 person = $1500 per person

2 people = $750 per person

3 people = $500 per person

As you see, as the number of people increase, the cost per person decreases.

2. If you are splitting the cost, then you are dividing equally.

The rent is divided between the number of people

     1500    /                                    p

c = 1500 / p

Answer:

Step-by-step explanation:

Answer:

y = -9x - 1

Step-by-step explanation:

Step 1:

y = 8, x = -1

By putting the above values in equation (i)

8 = -9 (-1) + b

8 = 9 + b

-1 = b

b = -1

y = -9x - 1

395.64 sq. mm

hope it helps...!!!

The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.

The formula for calculating the amount of water that would be needed 1 years from now:

FV = P (1 + r)^N

13000 x 1.1^17 = 65,708.11

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

1/6

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

the second one

Step-by-step explanation:

1/6

brainliest pls

Answer:

The answer is 100 in

Step-by-step explanation:

The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.

18^2 + 26^ 2 = c^2

324 + 676 = c^2

1000=c^2

Square root of 1000 = c

100.0=c

Hope this helps!

Answer:

C:) Sarah

Step-by-step explanation:

Sarah paid $3.84 for 32 ounces of carrots.

32 ounces = $3.84

1 ounce = x

Cross Multiply

x = $3.84/32

x = $0.12

For Sue

Sue paid $5.20 for 40 ounces of carrots.

40 ounces = $5.20

1 ounce = x

Cross Multiply

x = $5.20/40

x = $0.13

Who paid less per ounce?

Sarah paid less per ounce

Answer:

26.6 degrees

Step-by-step explanation:

Formula

(°C × 1.8) + 32 = °F

(-3°C × 9/5) + 32 = 26.6°F

26.6

To convert temperature readings from celsius scale, formula used is -

[tex]\green{ \underline { \boxed{ \sf{F = \frac{9}{5}C +32 }}}}[/tex]

where

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf F = \frac{9}{5}\times(-3) + 32 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf -\frac{27}{5} + 32 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf -5.4 + 32 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 26.6\degree F \\\end{gathered} [/tex]

Therefore, 26.6⁰ Fahrenheit is equivalent to -3⁰C.