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3 years ago

Plzzzz help Ik it’s a lot but I’m literally stuck and can’t figure anything out

Mathematics

1 answer:

irina [24]3 years ago

4 0

Answer:

Step-by-step explanation:

hope this helps with the work and it not that much so you good but a radius of 7 the circumference would be 43.98 not 43.96 but the other ones are completely wrong

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Karen bought a jacket for$280.80 inclusive of an 8% sales tax.Find the price of the jacket before sales tax was applied.

Serhud [2]

Answer:

$260

Step-by-step explanation:

Actual price + 8% of actual price=$280.80

Let x= actual price

8% of actual price=8/100 of x

=0.08x

x + 0.08x=$280.80

1.08x=$280.80

x=$280.80/1.08

x=$260

Price of the jacket before sales tax=$260

Check:

8% sales tax of $260

=8% of $260

=8/100×$260

=0.08×$260

=$20.8

Purchasing price= actual price+ sales tax

=$260+$20.8

=$280.80

8 0

3 years ago

Find the volume of triangular prism with the following dimensions. Round to the nearest whole number.

defon

Answer:

124.0 ft^2

Step-by-step explanation:

let b = base of triangle = 7ft

h = height of triangle = 4ft

and

l = height of prism. = 8.5ft

We know,

volume of prism = area of triangular face of prizm × height of prizm

= 1/2 × b × h × l

= 1/2 × 7 × 4 × 8.5

= 7 × 2 × 8.5

= 14 × 8.5

6 0

3 years ago

Which group of three squares will form a right triangle when joined at their vertices?

Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

The assignment should have four options to choose from, but there is only a picture of two.

Step-by-step explanation:

None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:

a²+b²=c²

We are given two options in the picture.

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

So, now we need to apply the formula:

Option A)

║8² + 10² = 18²

↓

║64 + 100 = 324

↓

║FALSE

Option B)

║6² + 9² = 12²

↓

║36 + 81 = 144

↓

║FALSE

Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?

There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.

For proof, let's apply the formula:

Option ?)

║8² + 15² = 17²

↓

║64 + 225 = 289

↓

║TRUE

[Since the option isn't shown, I'll put a '?' so there is no confusion]

8 0

3 years ago

Which of the following estimates at a 95% confidence level most likely comes from a small sample?

dusya [7]

The correct answer is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(σ/√n), where σ is the standard deviation and n is the sample size.

First we find the value of z:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(σ/√n). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.

7 0

3 years ago

Please answer ASAP

labwork [276]

Hello!

The figure is made up of a cone and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π . Enter your answer in the box. cm³

A 12 cm cone with a dome on top of it that has an 8 cm diameter

Data: (Cone)

h (height) = 12 cm

r (radius) = 4 cm (The diameter is 8 being twice the radius)

Adopting: $\pi \approx 3.14$

V (volume) = ?

Solving: (Cone volume)

$V = \dfrac{ \pi *r^2*h}{3}$

$V = \dfrac{ 3.14 *4^2*\diagup\!\!\!\!\!12^4}{\diagup\!\!\!\!3}$

$V = 3.14*16*4$

$\boxed{V = 200.96\:cm^3}$

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 4 cm

Adopting: $\pi \approx 3.14$

If: We know that the volume of a sphere is $V = 4* \pi * \dfrac{r^3}{3}$ , but we have a hemisphere, so the formula will be half the volume of the hemisphere $V = \dfrac{1}{2}* 4* \pi * \dfrac{r^3}{3} \to \boxed{V = 2* \pi * \dfrac{r^3}{3}}$