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3 years ago

-5x-y=12 3x-5y=4 Linear systems by substitution

Mathematics

1 answer:

alukav5142 [94]3 years ago

4 0

You would do 3 times 5 mines 5 which equals 10 and the you would do 5x12

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What is 66.875 as a mixed number in simplest form.?

antoniya [11.8K]

66.875 = 66 7/8 as a mixed number

6 0

2 years ago

What is the measure of angle R?

tigry1 [53]

Option B:

25 degrees

Solution:

Given data in triangle PQR,

The side opposite to angle P is p.

The side opposite to angle Q is q.

The side opposite to angle R is r.

q = 36, r = 20, angle Q = 50°.

<u>To find the measure of angle R:</u>

Using law of sine,

$$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

$$\Rightarrow\frac{p}{\sin P}=\frac{q}{\sin Q}=\frac{r}{\sin R}$

Take only two sides.

$$\Rightarrow\frac{q}{\sin Q}=\frac{r}{\sin R}$

Substitute the given values.

$$\Rightarrow\frac{36}{\sin 50^\circ}=\frac{20}{\sin R}$

Do cross multiplication.

$\Rightarrow36\times\sin R = \sin50^\circ\times20$

sin 50° = 0.766

$\Rightarrow36\times\sin R = 0.766\times20$

$\Rightarrow36\times\sin R = 15.32$

$$\Rightarrow\sin R = \frac{15.32}{36}$

$$\Rightarrow\sin R = 0.4255$

$$\Rightarrow R = \sin^{-1}(0.4255)$

⇒ R = 25.18°

⇒ R = 25° (approximately)

Option B is the correct answer.

Hence the measure of angle R is 25 degrees.

3 0

3 years ago

Perform the operation (x^2+8x+8)+(-10x^2+5x)

PtichkaEL [24]

Answer:

Step-by-step explanation:

(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8

= -x^2 +13x + 8

4 0

2 years ago

Read 2 more answers

What are the next three terms in the sequence? -3, 6, 15, 24

bearhunter [10]

Its adding 9 every time.
-3, 6, 15, 24, 33, 42, 51, 60

7 0

2 years ago

frank has two same size rectangles divided into the same number of equal parts. one rectangle has 3/4 of the parts shaded, and t

lidiya [134]

This question basically asks for the LCM of 3 and 5, which is 3 x 5 =15
This is the answer: 15
Check : The first rectangle had 1/3 shaded; ( one in every three parts)
So for 15 parts altogether, 5 would be shaded ( 1/3 = 5/15)
The second rectangle had 2/5 shaded ( two for every five parts)
So for 15 parts altogether, 6 would be shaded (2/5 = 6/15)

6 0

2 years ago