Natalie wants to measure the width of a river. She marks off two right angles, as shown in the figure. The base of the larger triangle has a length of 58m, and the base of the smaller triangle has a length of 26m. The height of the smaller triangle is 21.3m. How wide is the river? Round your answer to the nearest meter.

Answers

Answer 1

Answer: Given:
Larger Triangle : base = 58 m ; height = x
Smaller Triangle: base = 26 m; height = 21.3 m

x:58 = 21.3:26
26x = 58*21.3
26x = 1,235.4
x = 1,235.4 / 26
x = 47.515

The river is 48 meters wide.

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On Tuesday Shanice bought five hats. On Wednesday half of all the hats that she had were destroyed. On Tuesday there were only 17 left. How many did she have on Monday?
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A game spinner has regions that are numbered 1 through 8. if the spinner is used twice, what is the probability that the first number is a 3 and the second is a 6? a. 116 b. 164 c. 964 d. 23

Solve the equations.
6b–(3–4b)=–8

Answers

Answer:

b = -1/2

Step-by-step explanation:

6b - (3 - 4b) = -8

Distribute the negative sign on the left side. It is as if -1 is written there. Be careful with the negative sign. It changes all signs inside the parentheses.

6b - 3 + 4b = -8

Combine like terms on the left side.

10b - 3 = -8

Add 3 to both sides.

10b = -5

Divide both sides by 10.

b = -5/10

Reduce the fraction.

b = -1/2

a miner found three pieces of gold in an under ground mine in 1970 (in 1970 one ounce of gold cost 36.02$). The pieces weighed .080 ounce, .122 ounce, and .096 ounce. Find the total value of gold when it was mined.

Answers

The total value of the mined gold is $ 10.73. This is computed by summing up all the weights of 3 mined gold, 0.80 + 0.122 + 0.096, which will give us 0.298 ounce. Then this will be then multiply be 36.02, the cost of gold, which will give us $10.73.

The total value of gold when it was mined was $10.73.

In 1970, one ounce of gold cost $36.02. A miner found three pieces of gold in an underground mine in 1970.

The pieces weighed 0.080-ounce, 0.122 ounce, and 0.096 ounce. To find the total value of gold when it was mined, you need to multiply the weight of each piece of gold by the price per ounce in 1970 and add the results. To do so, let's find the value of each of the three pieces of gold: Value of first piece = 0.080 ounce × $36.02/ounce = $2.88Value of second piece = 0.122 ounce × $36.02/ounce = $4.39Value of third piece = 0.096 ounce × $36.02/ounce = $3.46Now, add up the value of all three pieces to find the total value of gold: $2.88 + $4.39 + $3.46 = $10.73

Therefore, the total value of gold when it was mined was $10.73.

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Subtract: 3x^2 - 7x + 4 from 5x^2 - 3x + 8.

Answers

subtrace x from y means y-x so
subtract 3x^2-7x+4 from 5x^2-3x+8 means
5x^2-3x+8-(3x^2-7x+4)=
5x^2-3x+8-1(3x^2-7x+4)
5x^2-3x+8-3x^2+7x-4=
5x^2-3x^2-3x+7x+8-4=
2x^2+4x+4

Which of these data sets is symmetrical?A) 1,8,15,15,15,22,22,22,29,36,43
B) 1,8,15,22,22,22,29,29,29,36,43
C) 1,8,15,15,22,22,22,29,29,36,43
D) 1,1,15,15,22,22,22,29,29,36,43

Answers

The answer is B

Hope this helps!

It's C. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43

Please Help! I've been waiting for a while!!How many solutions does the equation have?
5x + 3 = 2(x + 3) - 3(2 - 2x)

Answers

first distribute
a(b+c)=ab+ac so
2(x+3)=2x+6
-3(2-2x)=-6+6x
5x+3=2x+6-6+6x
add like terms
5x+3=2x+6x+6-6
5x+3=8x+0
subtract 5x from both sides
3=3x
divide both sides by 3
1=x

there are 1 solutions

Which is a feature of permanent insurance?A.) it provides protection for a specific period
B.) it includes and investment component
C.) it is relatively low cost

Answers

It includes and investment component is the feature of permanent insurance, option B is correct.

What is Insurance?

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certainloss, damage, or injury.

Permanent life insurance provides lifelong protection as long as the policy premiums are paid.

Unlike term life insurance, which provides coverage for a specific period of time, permanent life insurancepolicies remain in force as long as the policyholder pays the premiums.

One of the key features of permanent life insurance is that it includes an investment component, also known as cash value.

As the policy holder pays premiums, a portion of the payment is allocated to the cash value account.

The cash value grows tax-deferred and can be used to pay future premiums, take out a loan, or be withdrawn in cash.

Hence, it includes and investment component is the feature of permanent insurance, option B is correct.

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Answer – B. (It includes and investment component)
Permanent insurance has two key financial components, namely, the death benefit component and the cash value component. The cash value component is the investment component. It is the cash value component that accumulates cash value that the policy holder may withdraw or borrow against. The death benefit component refers to the amount that is to be paid to a beneficiary upon the death of an insured person.

Option A is wrong because permanent insurance, as the name implies provides permanent protection, and not just for a specific periodOption C is wrong because permanent insurance is not relatively low cost. On the contrary, it is relatively high cost when compared with temporary insurance.

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