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Verizon [17]
3 years ago
13

What is the length of ef and the measure of d?

Mathematics
1 answer:
Natalka [10]3 years ago
3 0
<span>The sum of angle D and the given angle should 90 so: 90 - 47 = 43 So D is 43.


</span>
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Of the 50 students in the cafeteria, 7 have red hair. Suppose there are 750 students in the school. Write a proportion that coul
gulaghasi [49]

Given:

Of the 50 students in the cafeteria, 7 have red hair.

Total number of students = 750

To find:

The proportion that could be used to predict the number of students who have red hair.

Solution:

Let x represent the number of students who have red hair.

The ratio of student having red hair to the total number of students are

Ratio_1=\dfrac{7}{50}

Ratio_2=\dfrac{x}{750}

The number of students having red hair is proportional to the total number of students. So, the above ratios are equal.

\dfrac{x}{750}=\dfrac{7}{50}

Multiply both sides by 750.

\dfrac{x}{750}\times 750=\dfrac{7}{50}\times 750

x=7\times 15

x=105

Therefore, the required equation is \dfrac{x}{750}=\dfrac{7}{50} and the number of students who have red hair is 105.

7 0
4 years ago
Select the statement that correctly compares two numbers.
sattari [20]

The correct answer is option A

• In mathematics, comparison of numbers if the process that defines similar properties between two numbers and identifies that the number if smaller or greater than or equal to the other number.

• In maths there are three special symbols used in comparison of numbers. The basic symbols are

1. Greater than (>)

2. Less than (<)

3. Equals to (=)

According to the question

Option A :

4.13 = 4.130

As we know the value of 0 after all the numbers and after the decimal is insignificant,

So , 4.13 = 4.130

This is correct comparison.

Option B :

5.16<5.06

Bigger number can’t be less than the smaller number, comparison is wrong.

Option C :

6.28<6.08

Bigger number can’t be less than the smaller number, comparison is wrong.

Option D:

7.09>7.19

Smaller number can’t be greater than the bigger number, comparison is wrong.

Option A is correct

Learn more about comparison here

brainly.com/question/25275758

#SPJ9

4 0
2 years ago
Alberto is thinking of buying a jar of fish food flakes that will last 110 days. If he does not change the number of fish, how m
Sergeeva-Olga [200]
He would need to buy 4 jars.
8 0
4 years ago
Read 2 more answers
Simplify 15 to the 18th power over 15 to the 3rd power. <br> 15^6<br> 15^15 <br> 1^6<br> 1^15
KIM [24]
Well the simplest power of 15^8 is 3^15 and the simplest form if 15^3 is 15^15 

8 0
3 years ago
A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?
zvonat [6]
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

      i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

       ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2. 

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)&#10;&#10;400=81+169-234(cosA)   150=-234(cosA)&#10;&#10;cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°, 

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
4 0
4 years ago
Read 2 more answers
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