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Eva8 [605]
3 years ago
7

Please help

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

B should be your answer. 125-360= -235

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In the right triangle shown, what is the cosine of angle C?
DiKsa [7]

Answer:

Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is

length of adjacent leg

length of hypotenuse

, the cosine of angle C is

24

26

, or

12

13

.

3 0
3 years ago
Read 2 more answers
a rectangle's length is three more than two times its width if the perimeter of a rectangle is 66 ft what is the measurement of
Lemur [1.5K]

Answer:

The measure of the length is 23\ ft

Step-by-step explanation:

Let

x-----> the length of rectangle

y-----> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=66\ ft

so

66=2(x+y)

Simplify

33=x+y -----> equation A

x=2y+3 ----> equation B

Substitute equation B in equation A and solve for y

33=(2y+3)+y

2y+y=33-3

3y=30

y=10\ ft

Find the value of x

x=2(10)+3=23\ ft

8 0
3 years ago
Read 2 more answers
Write the ratio 4/7 over 1/8 in simplest form. How is the simplest form of the ratio 4/7 over 1/8 related to the simplest form o
PIT_PIT [208]

Answer:

Step-by-step explanation:

Ratio = 4/7 : 1/8

        =\frac{\frac{4}{7}}{\frac{1}{8}}\\\\=\frac{4}{7}*\frac{8}{1}\\\\=\frac{32}{7}

       = 32 : 7

\frac{\frac{1}{8}}{\frac{4}{7}}=\frac{1}{8}*\frac{7}{4}\\\\=\frac{7}{32}

= 7 : 32

Ratio 4/7 over 1/8  is the multiplicative inverse of the ratio 1/8 over 4/7

6 0
3 years ago
Jack planted 1 1/4 rows of lettuce in the family garden, Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of b
Oksana_A [137]

Solution:

we are given that

Jack planted 1 1/4 rows of lettuce in the family garden.

Rose planted 1 1/2 rows of broccoli and Calvin planted 4 5/12 rows of beans.

we have been asked to find -How many rows were planted in the garden?

To find this , we will add all the numbers of rows planted.

Hence number of rows planted

=1\frac{1}{4}+ 1\frac{1}{2}+4\frac{5}{12}\\\\=2\frac{1+2}{4}+ 4\frac{5}{12}\\\\=2\frac{3}{4}+ 4\frac{5}{12}\\\\=7\frac{1}{6}   \\

5 0
4 years ago
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Find the length of the side C in the triangle ABC where a=4.7 b=10.21 and ACB=105.3
azamat

9514 1404 393

Answer:

  (d)  12.3

Step-by-step explanation:

From the Law of Cosines, you can solve for c:

  c = √(a² +b² -2ab·cos(C)) = √(22.09 +104.2441 -95.974cos(105.3°))

  c ≈ √151.659 ≈ 12.31499

Side c is about 12.3 units long.

6 0
3 years ago
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