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enyata [817]
3 years ago
7

Translate the phrase to an algebraic expression.

Mathematics
2 answers:
mario62 [17]3 years ago
8 0

Answer:

A

Step-by-step explanation:

If it’s 80 less than, your subtracting and then 4 times a number is 4x so your answer is 4x-80

Allisa [31]3 years ago
7 0

Answer:

a

Step-by-step explanation:

hmu

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Given ΔABC, m∠A = 60°, b = 9 and c = 6. Find m∠B. Round to the nearest whole degree
VladimirAG [237]
The problem above uses a combination of sine and cosine law of triangle to solve for the m∠B. 

Given:
<span>m∠A = 60°, b = 9 and c = 6

Cosine Law:
a^2=b^2+c^2-2bccosA
a^2=(9)^2+(6)^2-2(9)(6)cos(60)
a^2=81+36-54
a^2= 63
a=</span>\sqrt{63}

Sine Law
\frac{sin(A)}{a} = \frac{sin (B)}{9}
sin B= 9/ \sqrt{63} sin 60
sin B= 0.98198
B= sin ^-1 (0.98198) = 79.10

Therefore, m∠B is equal to 79.10
7 0
3 years ago
Find the value of x help 10 points
MrRissso [65]

<u>Answer:</u>

x = 5.67

<u>Step-by-step explanation:</u>

We are given a right angled triangle with a length of the hypotenuse 8 with the remaining two sides (base and perpendicular) that are equal to each other.

Assuming the two equal legs of this right angled triangle to be x, we can use the Pythagoras Theorem to find the value of x.

(x)^2+(x)^2=(8)^2

2x^2=64

Taking square root at both the sides to get:

\sqrt{2x^2} =\sqrt{64}

1.41x=8\\\\x=5.67

Therefore, x = 5.67.

7 0
3 years ago
Logan took out $23,400 in student loans to attend college at a compound interest rate of 5%. He deferred payments for two years.
blagie [28]

Answer:

$25,740

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 23400 × 0.05 × 2 = 2340

I = $ 2,340.00

The simple interest accumulated

on a principal of $ 23,400.00

at a rate of 5% per year

for 2 years is $ 2,340.00.

8 0
3 years ago
Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). Select all that appl
andriy [413]

Answer:

The equations that represent the equation of the line are:

y = -2x + 16 ⇒ A

2x + y = 16 ⇒ D

y - 6 = -2(x - 5) ⇒ E

Step-by-step explanation:

The slope intercept form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (y at x = 0)

The formula of the slope is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The line is passing through points (5 , 6) and (4 , 8)

∴ x_{1} = 5 and  x_{2} = 4

∴ y_{1} = 6 and  y_{2} = 8

- Substitute them in the formula of the slope to find it

∵ m=\frac{8-6}{4-5}=\frac{2}{-1}

∴ m = -2

- Substitute it in the form of the equation

∴ y = -2 x + b

- To find b substitute x and y in the equation by the coordinates

    of any point in the line

∵ x = 5 and y = 6

∴ 6 = -2(5) + b

∴ 6 = -10 + b

- Add 10 to both sides

∴ 16 = b

∴ y = -2 x + 16

∴ The equation of the line is y = -2x + 16

∴ A represents the equation of the line

∵ 2x + y = 16

- Subtract 2x from both sides

∴ y = -2x + 16

∴ D represents the equation of the line

∵ y - 6 = -2(x - 5)

∴ y - 6 = -2x + 10

- Add 6 to both sides

∴ y = -2x + 16

∴ E represents the equation of the line

The equations that represent the equation of the line are:

y = -2x + 16 ⇒ A

2x + y = 16 ⇒ D

y - 6 = -2(x - 5) ⇒ E

7 0
3 years ago
3. Mrs. Bond wants to put 40 cups of cider into one-quart containers. How many one-quart containers does she need?​
KiRa [710]

Answer:

10

Step-by-step explanation:

3 0
3 years ago
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