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timofeeve [1]
2 years ago
5

Use the tangent radio to find the missing leg of this right triangle. Estimate your answer to two decimal places.

Mathematics
1 answer:
erica [24]2 years ago
8 0

Answer:

  11.55

Step-by-step explanation:

SOH CAH TOA reminds you ...

  Tan = Opposite/Adjacent

The angle at lower left is the complement of 60°, so is 30°. Then the side x satisfies the equation ...

  tan(30°) = x/20

Multiplying by 20 gives ...

  20·tan(30°) = x ≈ 11.55

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2 less than 3 times a number greater than 10. Write as inequality
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2<3x>10

Step-by-step explanation:

2<3x>10

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The Measure of the largest angle of a triangle is 40° more than the measures of the smallest angle, and the measures of the rema
gtnhenbr [62]

Answer:

40, 60 and 80 degrees.

Step-by-step explanation:

Let the smallest angle be x degrees. Then:

The 3 angles are x, x + 40 and x + 20.

As there are 180 degrees in a triangle:

x + x + 40 + x + 20 = 180

3x = 180 -40--20 = 120

x = 40 degrees.

The other 2 angles are  60 and 80 degrees.

6 0
2 years ago
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-10c + 5 + 12c = -11
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Answer:

c = -8

Step-by-step explanation:

6 0
3 years ago
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Rewrite the following expression.
faust18 [17]

We have been given the expression

x^{\frac{9}{7}}

We have the exponent rule

x^{\frac{a}{b}}= x^{a^{(\frac{1}{b})}}

Using this rule, we have

x^{\frac{9}{7}}= x^{9^{(\frac{1}{7})}}

Now, using the fact that x^{\frac{1}{n}}=\sqrt[n]{x}, we get

x^{\frac{9}{7}}= \sqrt[7]{x^9}\\&#10;\\&#10;x^{\frac{9}{7}}=\sqrt[7]{x^7\times x^2}\\&#10;\\&#10;x^{\frac{9}{7}}=x\sqrt[7]{x^2}

D is the correct option.

6 0
2 years ago
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If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fa
Nesterboy [21]

This question is not complete because his height and age was not indicated in the above question.

Complete Question:

Rick is a healthy 19-year-old college student who is 70 inches tall and weighs 205 pounds. He has decided to "get a six-pack" over the summer with a diet and exercise program. As part of his new plan, he has stopped drinking soda and is eating more salads in addition to his usual diet. Besides of these changes, he is unclear on how to proceed to reach his fitness goal. Rick's mother wants to make sure his approach will not interfere with his normal growth and development, and has asked him to seek reliable information to help him make a reasonable plan.

If Rick wishes to reduce his BMI to 27, he needs to eat fewer kcalories than he expends. For an adolescent who carries excess fat, the recommended maximal weight loss is one pound per week. Since there are 3500 kcalories in a pound of body fat, a deficit of 3500 kcalories for the week or 500 kcalories per day would be required. Calculate the maximum number of kcalories Rick can consume per day to achieve a weight loss of one pound per week. Assume that his weight is 205 pounds and that his physical activity factor is "low active."

Answer:

2696 kilocalories

Step-by-step explanation:

STEP 1

First we need to calculate Rick's Basal Metabolic Rate( BMR)

Weight in pounds = 205 pounds

Age = 19 years

Height in inches = 70 inches

The formula for calculating Basal Metabolic Rate for men =

BMR = 66.47 + ( 6.24 × weight in pounds ) + ( 12.7 × height in inches ) − ( 6.755 × age in years )

BMR = 66.47 + ( 6.24 × 205 ) + ( 12.7 × 70 ) − ( 6.755 × 19)

= 2247

STEP 2:

The next step is to calculate the maximum amount kilocalories per day Rick should consume

Formula is given as :

For a person with physical activity factor of a ' low Active'

Maximum amount of kilocalories to consume per day = Basal Metabolic rate × 1.2

= 2247 × 1.2

= 2696 Kilocalories (kcalories) per day

6 0
3 years ago
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