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Mashcka [7]
3 years ago
5

Answer these questions GEOMETRY

Mathematics
1 answer:
pickupchik [31]3 years ago
8 0

7. 3/5 = 4.5/x

3x= 5(4.5)

x = 15/2

8. 6/4 = 9/x

6x= 45

x= 15/2

8. since triangle ABC and ADE are identical,

angle E is also 30 degrees

so angle D = 180-(30+70)=80 degrees

9. 9/3 = x/5

3x = 45

x = 45/3 = 15

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You would get -13y-13x
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3 years ago
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Need help with math homework
Pavel [41]

Hello!

The answer for A is:

X1=-1\\X2=5

The answer for B is: The rocket will hit the lake surface in 5 seconds.

<h2>Why?</h2>

Defining the terms:

a=-16\\b=64\\c=80\\

So, replacing it in the quadratic equation (it's given to you in the exercise)\\

x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

x=\frac{-64+-\sqrt{64^{2}-4*-16*80 } }{2*-16}

x=\frac{-64+-\sqrt{64^{2}+5120} }{-32}=\frac{-64+-\sqrt{4096+5120} }{-32}\\x=\frac{-64+-\sqrt{9216} }{-32}=\frac{-64+-\ 96 }{-32}\\x=\frac{-64+-\ 96 }{-32}\\x1=\frac{-64+\ 96 }{-32}=\frac{32}{-32} =-1\\\\x1=\frac{-64-\ 96 }{-32}=\frac{-160}{-32} =5\\

We are working with a quadratic equation, so we will have two possible results,

X1=-1\\X2=5\\

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.

Have a nice day!

5 0
4 years ago
An expression is shown.
BARSIC [14]

Answer

Step-by-step explanation:

Even numbers are multiples of 2, and more generally, multiples arise ... An even number can be written as the sum of two equal whole numbers. ... Yet when their sum 63 is divided by 6, the remainder is 3, and is not 4 + 5 = 9. ... For example, in the case above of 4 and 6, one common multiple is 4 × 6 = 24, but their lowest ...

6 0
3 years ago
4+7a=12+8a<br> with steps pls
Varvara68 [4.7K]

Answer:a=-8

Step-by-step explanation:

4+7a=12+8a

So first you want to have the variables on the same side

4+7a-7a=12+8a-7a

This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes

4=12+a

Now there are two ways of doing this.

1. 4-12=12-12+a

You moved the 12 to the left side so you have the same variable on one side

4-12=-8

So then a=-8

Or

2. 4-4=12-4+a

0=8+a

then you would have to subtract 8 to keep 'a' by itself

-8=8-8+a

simplify it

-8=a

same thing

3 0
3 years ago
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A $17,000 T-bill is purchased at a 2.75% discount rate for 20 weeks.
SVEN [57.7K]
The effective rate of interest to the nearest hundredth of a percent is 2.75%

Given:
T-bill value $17,000
purchased at a discount rate of 2.75%
term of 20 weeks.

An effective rate of interest is also referred as the DISCOUNT RATE, market interest rate, the internal rate of return, the annual percentage rate, and yield to maturity. 

Since the discount rate is given, it is also the effective rate of interest.
3 0
4 years ago
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