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3 years ago

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X= 2 y-4 7 x + 5y = -66

1 answer:

Mars2501 [29]3 years ago

6 0

Answer:

−7x−5y=4 - 7 x - 5 y = 4. Rewrite in slope-intercept form. Tap for more steps... The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is ...

Step-by-step explanation:

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Directions: Find the indicated trigonometric ratio as a fraction in simplest form. 1. Sin L =

Rainbow [258]

Answer:

$\sin L = 0.60$

$tan\ N = 1.33$

$\cos L = 0.80$

$\sin N = 0.80$

Step-by-step explanation:

Given

See attachment

From the attachment, we have:

$MN = 6$

$LN = 10$

First, we need to calculate length LM,

Using Pythagoras theorem:

$LN^2 = MN^2 + LM^2$

$10^2 = 6^2 + LM^2$

$100 = 36 + LM^2$

Collect Like Terms

$LM^2 = 100 - 36$

$LM^2 = 64$

$LM = 8$

Solving (a): $\sin L$

$\sin L = \frac{Opposite}{Hypotenuse}$

$\sin L = \frac{MN}{LN}$

Substitute values for MN and LN

$\sin L = \frac{6}{10}$

$\sin L = 0.60$

Solving (b): $tan\ N$

$tan\ N = \frac{Opposite}{Adjacent}$

$tan\ N = \frac{LM}{MN}$

Substitute values for LM and MN

$tan\ N = \frac{8}{6}$

$tan\ N = 1.33$

Solving (c): $\cos L$

$\cos L = \frac{Adjacent}{Hypotenuse}$

$\cos L = \frac{LM}{LN}$

Substitute values for LN and LM

$\cos L = \frac{8}{10}$

$\cos L = 0.80$

Solving (d): $\sin N$

$\sin N = \frac{Opposite}{Hypotenuse}$

$\sin N = \frac{LM}{LN}$

Substitute values for LM and LN

$\sin N = \frac{8}{10}$

$\sin N = 0.80$

7 0

3 years ago

If a parking lot holds 1,600 cars and fills 3/4 of its spaces, how many spaces are filled?

AnnyKZ [126]

The total space in the parking lot is 1600 cars

It is mentioned that $\frac{3}{4}$ parts of this parking is filled

Now we are required to find what is the three-fourths part of 1600

To find it we multiply $\frac{3}{4}$ times 1600

$\frac{3}{4} X 1600$

= $\frac{3X1600}{4}$

= $\frac{4800}{4}$

= 1200 cars

Hence 1200 cars fills the three-fourths of the car parking lot that has a capacity of 1600 cars

8 0

3 years ago

Read 2 more answers

Thirty times the square of a non-zero number is equal to 8 times the number. What is the number?

astra-53 [7]

Hello here is a solution :

4 0

3 years ago

What is the blank?<br> Blank+(-6)+(-3)=-17

RideAnS [48]

The blank is -8 because -6 +-8=-14+-3=-17.

7 0

3 years ago

Read 2 more answers

4vir4ik [10]

Answer:

B- For an equal number of servings, the bananas will have three times as much sugar

Step-by-step explanation:

The complete question is

A carrot has 5 grams of sugar per serving. A banana has 15 grams of sugar per serving. Which statement is true?

A- There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas.

B- For an equal number of servings, the bananas will have three times as much sugar.

C- For an equal number of servings, the bananas will always have 10 more grams of sugar.

D- The amount of sugar in two servings of carrots is 30 grams.

<u><em>Verify each statement</em></u>

A- <u>There will always be more sugar in 10 servings of carrots than in a smaller number of servings of bananas</u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 5 servings of banana there are 5(15)=75 grams of sugar

therefore

50 g < 75 g

B- <u>For an equal number of servings, the bananas will have three times as much sugar</u>

The statement is true

Because

In one serving of carrots there are 5 grams of sugar

In one serving of bananas there are 15 grams of sugar

The ratio of grams of sugar in a serving of bananas to grams of sugar in a serving of carrots is 15:5

Simplify

3:1

therefore

An equal number of servings, the bananas will have three times as much sugar

C- <u>For an equal number of servings, the bananas will always have 10 more grams of sugar. </u>

The statement is False

Because

In 10 servings of carrots there are 10(5)=50 grams of sugar

In 10 servings of banana there are 10(15)=150 grams of sugar

so

$50+10\neq 150$

D- <u>The amount of sugar in two servings of carrots is 30 grams</u>

The statement is False

Because

In 2 servings of carrots there are 2(5)=10 grams of sugar

$10\neq 30$

3 0

3 years ago