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kvasek [131]
2 years ago
12

The bases of a trapezoid have lengths of 10 feet and 22 feet. Find the length of the midsegment of the trapezoid?

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0
The mid segment is 1/2 of the top and bottom segments 1/2(8+14) 1/2 (22)=11
11 ft
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Please help me find y
sertanlavr [38]

Answer:

5

Step-by-step explanation:

cos 60° = y / 10

y = 10 * 1/2 = 5

3 0
2 years ago
Two integers, a and b, have a greatest common factor of 1. If a =12 and b is greater than 35 but no more than 40, what is the va
yarga [219]

Answer: 37

Step-by-step explanation:

a=12

35 < b < 40

\wedge\ means\ GCF\\a\ \wedge\ b= 1\\12\ \wedge\ 37= 1\\12\ \wedge\ 38= 2\\12\ \wedge\ 39= 3\\

7 0
2 years ago
Find the missing side length
Slav-nsk [51]

Answer:

x ≈ 4.8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

<u>Step 1: Identify Variables</u>

Angle measure = 58°

Adjacent side of angle = <em>x</em>

Hypotenuse = 9

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute [cosine]:                    cos58° = x/9
  2. Isolate <em>x</em>:                                     9cos58° = x
  3. Evaluate:                                     4.76927 = x
  4. Rewrite:                                      x = 4.76927
  5. Round:                                        x ≈ 4.8
5 0
2 years ago
Read 2 more answers
L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
SVETLANKA909090 [29]

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0
3 years ago
Read 2 more answers
One half of the students in a school are girls, 3/5 of these girls are studying in lower classes. What fraction of girls are stu
andrew-mc [135]

Answer:

4

Step-by-step explanation:

4

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