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MrMuchimi
2 years ago
14

Find the indicated side of the

Mathematics
1 answer:
tresset_1 [31]2 years ago
8 0

Answer:

7\sqrt{3}

Step-by-step explanation:

This is a special triangle with the angles being 30-60-90. The adjacent side to the angle of 30 degrees has a length of x * sqrt(3). The opposite side has a length of x. Since the opposite side has a length of 7 here you simply plug that into x * sqrt(3) to find the length of the adjacent side of the angle 30 degrees which gives you 7 * sqrt(3)

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Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

C=2\pi r

Where r is the radius and \pi=3.14

The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

Convert 9 inches to yards (1 yard=36 inches):

(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

C_T=(1.57yd)(21)=32.97yd

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

8 0
3 years ago
Lie is solving the quadratic equation by completing the square.
wel

we have

3x^{2} + 18x - 8 = 0

Step 1

Move the constants to the right side

3x^{2} + 18x = 8

Step 2

Factor 3 out of the variable terms

3(x^{2} + 6x) = 8

Step 3

Add 27 to both sides of the equation

3(x^{2} + 6x+9) = 8+27

3(x^{2} + 6x+9) = 35

Step 4

Write the polynomial as a binomial squared

3(x+3)^{2} = 35

therefore

the answer is

Factor 3 out of the variable terms.

8 0
3 years ago
Read 2 more answers
HEYYYY NOBODY ANSWER MY MATH QUESTION I ASK THIS MORNING THAT'S NOT FAIR!!!
Leviafan [203]

Answer:

( a+b) (a-b)

x^2 - 50

Step-by-step explanation:

The formula for difference of squares is

a^2 - b^2 = ( a+b) (a-b)

121x^2 -144 = (11x)^2 - 12^2 so this is the difference of squares

x^2 - 16y^2 = (x)^2 - (4y)^2  so this is the difference of squares

9x^2 -64 = (3x)^2-8^2  so this is the difference of squares

x^2 - 50 = (x)^2 - 2*(5)^2  this is not the difference of squares

4 0
3 years ago
Please help me i don’t understand this.
Sveta_85 [38]

Answer:

3x6

(3)(6)

6+6+6

for represent the situation

Step-by-step explanation:

the dining room has 3 tables

and at each table there are 6 chairs so multiplication is the operation to use to find the total

therefore the other operations do not represent the situation

but 6+6+6 represents because it is also equal to 18

5 0
3 years ago
Graph the function y = (x – 3)2 + 2<br> -
STatiana [176]

Answer:

zoom in

Step-by-step explanation:

8 0
3 years ago
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