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3 years ago

Beth leaves her home on her bike, traveling down a long country road, at

1 answer:

6 0

In this question, you are given Beth velocity(8mph) and Brandon velocity(12mph). To answer this question, you will need to find the initial distance of Beth and Brandon. The calculation would be:

Initial distance= Beth velocity * duration= 8 mph * 15 minutes * hour/60 minutes= 2miles

After that, the calculation would be:

beth_velocity * time + initial distance = brandon_velocity * time
8mph * time + 2 miles= 12 mph* time
4mph * time = 2 miles
time= 2 miles / 4 mph= 1/2 hour = 30 minutes

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Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to

Ksivusya [100]

Answer:

$V=122.5in^3$

Step-by-step explanation:

The volume of a right circular cone is given by:

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

where r is the radius of the circle and h is the height of the cone, and $\pi$ is a constant $\pi=3.1416$ .

According to the problem the height is:

$h=8.1 in$

and we don't have the radius but we have the diameter, which is useful to find it. We just divide the diameter by 2 to find the radius:

$r=\frac{d}{2}=\frac{7.6in}{3}=3.8in$

Now, we can find the volume by substituting all the known values:

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

$V=\frac{(3.1416)(3.8in)^2(8.1in)}{3} \\\\V=\frac{(3.1416)(14.44in^2)(8.1in)}{3} \\\\V=\frac{367.454in^3}{3} \\\\V=122.485$

Rounding the volume to the nearest tenth of cubic inch we get:

$V=122.5in^3$

7 0

4 years ago

WILL MAKE BRAINLIEST!!Determine if two triangles are congruent if they are state the triangle congruence statement.

elena-14-01-66 [18.8K]

Answer:

<h2>Yes they are congruent by SSS criterion </h2><h3>Explanation:</h3>

AC=DC. (Given in figure)

AB=BD. (Given in figure

BC=BC. (Common)

that means triangle BAC is congruent to triangle BDC by SSS criterion

8 0

2 years ago

Find 4 solutions (in radians) of sine = 0.18.

mezya [45]

9514 1404 393

Answer:

0.180986, 2.96061, 6.46417, 9.24379

Step-by-step explanation:

The first solution to ...

sin(x) = 0.18

is found by using the arcsine function:

x = arcsin(0.18) ≈ 0.180986

Additional positive values can be found by subtracting this angle from π, and by adding multiples of 2π to either of the values obtained so far.

π - 0.180986 ≈ 2.96061

Adding 2π to these gives two more values:

0.180986 +2π ≈ 6.46417

2.96061 +2π ≈ 9.24379

4 0

3 years ago

Please help ASAP it is due today

Dmitrij [34]

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

4.5b = 495

Step 4 -- divide 4.5 from both the sides

b = 110 ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

4 0

3 years ago

The principal represents an amount of money deposited in a savings account subject to

Nataliya [291]

Compound interest is the adding of interest to the principle sum of a loan or deposit. The amount of money in the account after 2 years is $7426.30, while the interest earned in 2 years is $426.30.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principle sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out, so that interest is received on the principal plus previously collected interest in the next quarter.,

$A = P(1+ \dfrac{r}{n})^{nt}$

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

Given the principal amount is $7,000 while the rate of interest is 3% which is compounded annually.

A. The amount of money in the account after 2 years will be,

A = $7000(1 + 0.03)² = $7426.30

B. The amount of interest earned is will be,

The amount of interest earned = $7426.30 - $7000 = $426.30

Hence, the amount of money in the account after 2 years is $7426.30, while the interest earned in 2 years is $426.30.

Learn more about Compound Interest:

brainly.com/question/25857212

#SPJ1

4 0

2 years ago