In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60

Answers

Answer 1

Answer:

Answer:

7250

Step-by-step explanation:

This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.

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last night 80 people attended a lecture at the Smithfield Public Library 47th and 10 for men what ratio best represents the relationship between the number of men and the number of women

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ONLY ANSWER IF YOU KNOW FOR SURE

Answers

When I see these things, I never know whether we're supposed to
include the bottom or not.

Here's what you have to know in order to solve this:

Area of a triangle = (1/2) (base) (height) .

That's it ! The rest is all just arithmetic.

-- It's a little hard to tell from the drawing, but I think
this thing has six sides.
Each side is a triangle, with base = 15m and height = 12m.
Area of each side = (1/2) (15m) (12m) = (1/2) (180m²) = 90 m²
Area of 6 uvum = (6 x 90 m²) = 540 m² . (That's choice-b.)

That takes care of the sides.
If the bottom is supposed to be included, then we notice that
the bottom is a hexagon. That note of "7.5√3 m" looks like
it's the distance from the center of the hexagon to each side.

If you connect that point to each vertex of the hexagon, then
you have 6 triangles down there. Each one has base = 15m
and height = 7.5√3 m .

Area of each section
= (1/2) (15m) (7.5√3 m)
= (1/2) (112.5 √3 m²)
= 56.25 √3 m² .

Area of all 6 uvum = (6) x (56.25 √3 m²) = 337.5 √3 m²
That's roughly 584.6 m² .

If the bottom is supposed to be included in the whole thing,
then the total surface area is

(540 m²) + (584.6 m²) = 1,124.6 m² (That's choice-c.)

I'm pretty sure the bottom is supposed to be included,
and choice-c is the correct answer.
Otherwise, there would have been no reason to bother
giving us that "7.5√3 m" measurement on the bottom.

The answer is 540 m2 hope this helps

Which statement correctly describes the relationship between the graph of f(x)=8xf(x)=8x and the graph of g(x)=4f(x)g(x)=4f(x) ? a.the graph of g(x)g(x) is translated 4 units left from the graph of f(x)f(x) .
b.the graph of g(x)g(x) is translated 4 units right from the graph of f(x)f(x) .
c.the graph of g(x)g(x) is a horizontal stretch of the graph of f(x)f(x) by a factor of 4.
d.the graph of g(x)g(x) is a vertical stretch of the graph of f(x)f(x) by a factor of 4.?

Answers

The graph of g(x) is a vertical stretch of the graph of f(x) by a factor of 4.

During a family trip, you share the driving with your dad. At most, you are allowed to drive for three hours. While driving, your maximum speed is 55 miles per hour.Part A) Write a system of inequalities describing the possible numbers of hours “t” and distance “d” you may have to drive.

Part B) Is it possible for you to have driven 160 miles?

Please help and if you don’t mind to explain how you got all of the answers to each part. Offering 20 Points!

Thank you!

Answers

Final answer:

In this question, we create a system of inequalities to describe the possible number of hours and distance you may have to drive. It is not possible to have driven 160 miles.

Explanation:

Part A:

Let t represent the number of hours you drive and d represent the distance you drive.

The constraints for the number of hours are: 0 ≤ t ≤ 3, which means you can drive for at most 3 hours.

The constraints for the distance are: 0 ≤ d ≤ 55t, which means the distance you drive cannot exceed 55 miles per hour multiplied by the number of hours you drive.

Part B:

No, it is not possible for you to have driven 160 miles. Let's substitute t = 3 into the distance constraint:

d ≤ 55t

d ≤ 55(3)

d ≤ 165

Since 160 is greater than 165, it is not within the range of possible distances you can drive.

Learn more about System of Inequalities here:

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Final answer:

The system of inequalities describing the possible numbers of hours and distance is t ≤ 3 and d = t × 55. It is not possible to have driven exactly 160 miles.

Explanation:

Part A:

To describe the possible numbers of hours and distance you may have to drive, we can create a system of inequalities based on the given conditions. Let's denote 't' as the number of hours you drive and 'd' as the distance you cover.

The maximum allowed driving time is 3 hours, so we can write the inequality: t ≤ 3.

Since your maximum speed is 55 miles per hour, the distance 'd' can be calculated using the formula: d = t × 55.

Combining these two inequalities, we have: t ≤ 3 and d = t × 55.

Part B:

To determine if it is possible to have driven 160 miles, we substitute the distance 'd' with 160 in the inequality: d = t × 55. By solving for 't', we can find the allowed range of hours. Plugging in the values, we get: 160 = t × 55. Rearranging the equation, we find t = 160 / 55, which gives t ≈ 2.91.

Therefore, it is not possible to have driven exactly 160 miles, as it falls outside the allowed range of t.

Learn more about system of inequalities here:

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Increase £84 by 3%
thank you!

Answers

If you would like to increase £84 by 3%, you can calculate this using the following steps:

3% * £84 = 3/100 * 84 = £2.52

£84 + £2.52 = £86.52

The correct result is £86.52.

What are the answers to the picture?

Answers

Answer: Brailiest plz?

prt 1 (42°) 48° is complementary

prt2 (42°) 138° is supplementary

prt1 (81°) 9° is complementary

prt2 (81°) 99° is supplementary

Step-by-step explanation:

What would my final balance be if i put $650 in the bank for 60 months with an interest rate of 6%?

Answers

Your final balance would be $2,340.

I = Prt
Percent (6%) x rate (650) x time (60 months) = 2,340

6% = 0.06

0.06 x 60 x 650 = 2,340

Final answer:

You would end up with approximately $871.89 in your bank account after investing $650 for 60 months at an annual interest rate of 6%, if the bank compounds the interest yearly.

Explanation:

In this case, we are calculating the compound interest over a certain period. The formula for compound interest is:

P = C * (1 + r/n)^(nt)

C is the initial deposit (the principal). In your case, this is $650.
The interest rate (r) is 6%. To use this in the formula, we need to convert it to decimal form by dividing by 100, so r = 0.06.
n is the number of times that interest is compounded per unit t. Since it's not stated in the question, we'll assume it is once per year.
t is the time the money is invested for in years. Converting your 60 months to years gives t = 60/12 = 5 years.

Substitute the values into the formula:

P = $650 * (1 + 0.06/1)^(1*5)

Applying mathematics, we get an approximate final balance of $871.89

Learn more about Compound Interest here:

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