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Ulleksa [173]
3 years ago
7

Find cos(β) in the triangle.

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

Answer:

cos \beta  =  \frac{adjacent}{hypotenus}

cos \beta  =  \frac{8}{17}

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What is the range of the function f(x)=5x+4 when the domain is {-2,3,5}?
jonny [76]

Answer:

f (-2)=5×-2+4

= -10+4

= -6

f (3)=5×3+4

=15+4

=19

f (5)=5×5+4

25+4

=29

7 0
3 years ago
A box of fruit has four times more peaches than plums.
Ugo [173]

Answer:

The number of plums = 4

The number of peaches =  16

The number of nectarines =  1

Step-by-step explanation:

Let the number of peaches be = x

Let the number of nectarines be = y

Let the number of plums be = z

A box of fruit has four times more peaches than plums. This means that

The number of peaches = 4 X the number of plums.

i.e x = 4z

The box has 3 fewer nectarines than plums. This means that

Number of nectarines = number of plums - 3

i.e y = z - 3

If the box contains 21 pieces of fruit, this means that if we sum up all the peaches, nectarines, and plums in the box, we will get 21.

Peaches + Nectarines + Plums = 21

4z + z-3 + z = 21

6z =21 +3

z = 24/6

z = 4

Therefore, the number of plums = 4

The number of peaches = 4 X 4 = 16

The number of nectarines = 4 -3 = 1

7 0
3 years ago
Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.
maxonik [38]

(a) Complementary angles

(b) Vertical angles

(c) Supplementary angles

<u>Explanation:</u>

Complementary angles are those two angles whose sum is 90 degrees.

Supplementary angles are those two angles whose sum is 180 degrees.

Vertical angles are the angles opposite each other when two lines cross.

(a)

Angles 1 and 5 are complementary angles

(b)

Angles 3 and 5 are vertical angles

(c)

Angles 3 and 4 are supplementary angles

6 0
3 years ago
Last year 500 people attended a concert this year 900 people attended what was the percent increase in attendance from last year
IRISSAK [1]

Answer:

80

Step-by-step explanation:

500 to 900? = 80.

6 0
3 years ago
What is the radius of a circle with an area of 50.24 square inches?
Vladimir [108]

Answer:

<h3>Area of a circle= πr²</h3><h2>50.24 = 3.14 *r²</h2><h2>r²= 50.24/3.14</h2><h2>r² =16</h2><h2>r= √16</h2><h2>r = 4</h2>

7 0
2 years ago
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