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4 years ago

Solve for x: 4(x-5) 8 =9y x = [?]y+[ ]

Mathematics

1 answer:

Katarina [22]4 years ago

3 0

Answer:

Step-by-step explanation:

Ok so this is it, then:

$\frac{4(x-5)}{8}=9y$ First distribute the 4 into the parenthesis to get rid of them. This gives you:

$\frac{4x-20}{8}=9y$ Now undo the division of 8 by multiplying both sides by 8 to get:

4x - 20 = 72y Add 20 to both sides to get:

4x = 92y so

x = 23y

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Given: △ABC, m∠A=60°

Anon25 [30]

Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

$\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}$

Where

$a$ is the side opposite to $\angle A$

$b$ is the side opposite to $\angle B$

$c$ is the side opposite to $\angle C$

$\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08$

$\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22$

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>

Area of a triangle is given as:

$\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)$

$\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}$

8 0

3 years ago

10 points if you solve this one problem.

zalisa [80]

Answer:

150

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<1 + <2 = <3

3x+11 + 3x+19 = 7x+10

Combine like terms

6x+30 = 7x+10

Subtract 6x from each side

6x -6x+30 = 7x-6x+10

30 = x+10

Subtract 10 from each side

30-10 = x+10-10

20 =x

We need to find angle 3

<3 = 7x+10

= 7(20)+10

= 140+10

= 150

7 0

3 years ago

You notice a hot air balloon descending. The elevation h

ANEK [815]

Answer:

the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.

Step-by-step explanation:

8 0

3 years ago

Luis wants to buy a home priced at $315,000. He plans to finance this amount less the down payment required. His mortgage paymen

OLEGan [10]

The correct option is that A. Luis is eligible for a home loan; he meets all of the requirements.

<h3>How to depict the information?</h3>

From the information, the monthly income will be:

= $91500/12

= $7625

The loan payment as a percentage will be:

= 2100/7625

= 27.54%

Since this is less than 28%, then Luis is eligible for a home loan; he meets all of the requirements.

Learn more about loan on:

brainly.com/question/26011426

#SPJ1

3 0

2 years ago

AB is parallel to DC.

AlekseyPX

Answer:

Step-by-step explanation:

4 0

3 years ago