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disa [49]
2 years ago
8

will givebrainlyest and 46 points need asap right tringle the base of the trinagle has a base of ten and the angle on the right

side ah a measurement of 40 degrees how long is the hypotenuse
Mathematics
1 answer:
Elenna [48]2 years ago
7 0
<h2>Answer: </h2>

<u>In a right triangle, Relation of base and hypotenuse is cosine</u>.

cos40° = 10/h

0.76604 = 10 × h

0.76604h = 10

h = 10/0.76604 = 13.05units.

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Which shows the expression below simplified?
patriot [66]

Answer:

a

Step-by-step explanation:

6 0
2 years ago
Solve for x <br> •26.45 <br> •10.93<br> •14.26<br> •22.19 <br> •20.26
ollegr [7]

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

8 0
2 years ago
A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin
Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2}   or  \frac{30-21.21 }{2}\\ = \frac{51.21 }{2}   or  \frac{8.79}{2}\\ = 25.605 or 4.395

x ≅ 25.61 or 4.4

V = (30 - 2x)(16 - 2x)x

Substituting the values of x into L and B, we have )x

L = (30 - 2x) = (30 - 2(25.61)) = 30 - 51.22 = -21.22

B = (16 - 2x) = (16 - 2(25.61)) = 16 - 51.22 = -35.22

Since L and B cannot be negative, we use the other value for x = 4.4, So

L = (30 - 2x) = (30 - 2(4.4)) = 30 - 8.8 = 21.2

B = (16 - 2x) = (16 - 2(4.4)) = 16 - 8.8 = 7.2

So V = LBx = 21.2 × 7.2 × 4.4 = 671.62 cm³

3 0
2 years ago
8m + 7 = 5m +16 what is this answer
Sophie [7]
M equals 3.
That's your answer
5 0
2 years ago
Read 2 more answers
The equation c= 0.25n can be used to find the cost (c) of buying n number of apples.
aksik [14]

Answer:

(a) The constant of proportionality is 0.25

(b) 1 apple = $0.25

(c) $3 = 12 apples

Step-by-step explanation:

Given

c= 0.25n

Solving (a): The constant of proportionality;

For an equation:

c=kn

Where

k = constant of proportionality

By comparing: c=kn to c= 0.25n

k = 0.25

Hence, the constant of proportionality is 0.25

Solving (b): What information does k = 0.25 gives.

It represents the unit rate.

<em>So, it means that 1 apple costs $0.25</em>

<em></em>

Solving (c): Number of apples for $3.

This means that c = 3

Substitute 3 for c in c= 0.25n

3 = 0.25n

Make n the subject

n = \frac{3}{0.25}

n = 12

7 0
3 years ago
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