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2 years ago

Beron wants to buy a new sound system for $145. He already has $65. He receives $20 for

Mathematics

1 answer:

zhuklara [117]2 years ago

4 0

Answer:

he would need to cut 4 lawns

Step-by-step explanation:

if you take 145-65 if would need 80 left. if you take 80 divided by 20 you get 4.

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Which of the following types of statement cannot be used to explain the steps of a proof? Check all that apply. A.Postulate B.Gu

wlad13 [49]

Answer:

Guess and Conjecture

Step-by-step explanation:

Conjecture is simply an opinion gotten from an incomplete information .Fro example. 10 boys selected from Nigeria were served pizza. None of them ate pizza.

it is a conjecture to conclude that all the males in Nigeria do not eat pizza, because the information is incomplete

Guess is almost similar to conjecture. It is conclusion from incomplete information. It is based on one's personal opinion. Guess can be true or false. it is underprobaility and hence cant be banked upon to explain a proof.

3 0

3 years ago

Read 2 more answers

In the right triangle shown, \angle B = 60^\circ∠B=60

Liono4ka [1.6K]

Answer:

Part 1) $AC=6\sqrt{3}\ units$

Part 2) $AC=12\sqrt{3}\ units$

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB and the right angle is C

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(60^o)=\frac{AC}{12}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{AC}{12}$

$AC=6\sqrt{3}\ units$

Problem 2

The hypotenuse is the segment BC and the right angle is A

we know that

In the right triangle ABC

$tan(B)=\frac{AC}{AB}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(60^o)=\frac{AC}{12}$

Remember that

$tan(60^o)=\sqrt{3}$

substitute

$\sqrt{3}=\frac{AC}{12}$

$AC=12\sqrt{3}\ units$

5 0

3 years ago

Find the slope and the y-intercept of the graph of the linear equation. y=3−12x

pychu [463]

Slope is -12 and y-intercept is 3

3 0

3 years ago

he wholesale club sells a large box of crackers with 12 reams of crackers for $9.89. Your local store’s box of crackers has 4 re

Lostsunrise [7]

You save $2.98. You can get the same amount from your local store by buying 3 boxes, but it will cost $12.87, and if you wanna buy the same amount from the other store, you can save $2.98, since it is the same amount and costs $9.89. Hope this helps, and good luck!!

8 0

3 years ago

the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)

Veronika [31]

Hey there :)

We know the area formula of a triangle
$\frac{1}{2} (base)(height)$

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = $\frac{1}{2}$ × ( p ) × ( p - 9 )
56 = $\frac{1}{2}$ × ( p² - 9p )

Divide $\frac{1}{2}$ on both sides
56 ÷ $\frac{1}{2}$ = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative

So, the length of the base is 16 m

Check:
56 m² = $\frac{1}{2}$ × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²

7 0

3 years ago