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brilliants [131]
3 years ago
15

Find the area of the figure shown. Round your answer to the hundredths place. Use 3.14 for pi.

Mathematics
1 answer:
Grace [21]3 years ago
5 0
There is no figure.
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Which value, when placed in the box, would result in a system of equations with infinitly many solutions? Y=2x - 5 2y-4x=
Nezavi [6.7K]

Given:

The system of equations is

y=2x-5

2y-4x=?

To find:

The missing value for which the given system of equations have infinitely many solutions.

Solution:

Let the missing value be k.

We have,

y=2x-5

2y-4x=k

Taking all the terms on the left side, the given equations can be rewritten as

-2x+y+5=0

-4x+2y-k=0

The system of equations a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 have infinitely many solutions if

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

We have,

a_1=-2,b_1=1,c_1=5

a_2=-4,b_2=2,c_2=-k

Now,

\dfrac{-2}{-4}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{1}{2}=\dfrac{5}{-k}

\dfrac{1}{2}=\dfrac{5}{-k}

On cross multiplication, we get

-k=10

k=-10

Therefore, the missing value is -10.

6 0
3 years ago
What is the value of z in the equation 11 + z = 6?<br><br> 66<br> 5<br> −5<br> 1
Lady_Fox [76]
-5 will be your answer. Hope this helps!
3 0
3 years ago
Read 2 more answers
2.15 divided by 38 =?
zmey [24]

Answer:

0.06, but this is rounded

Step-by-step explanation:

2.15/38=0.06 (rounded)

Hope this helps and have a great day (づ ̄ v ̄)づ

4 0
3 years ago
Read 2 more answers
Help I need a answer real quick! Plz don't send me a file type it out!!
Andrews [41]

Answer:

E

Step-by-step explanation:

2^2 = 4

√(4^2 + √5 ^2) = √21

4 0
3 years ago
Read 2 more answers
Dream borrowed $500 at an interest rate of 8%. At the end of the loan period, she had to pay back $530. How long was the loan fo
Aliun [14]

Answer:

The loan was for 9 months only

Step-by-step explanation:

In this question, we are concerned with calculating the time taken for a loan om an interest to be paid back

To calculate this, we use the simple interest formula

Mathematically;

I = PRT/100

where P is the principal which is the amount borrowed and that is $500 according to the question

R is the rate which is 8% according to the question

Interest can be calculated by subtracting the principal from the  amount paid back = 530-500 = 30$

We now plug these values into the equation

30 = (500 × 8× T)/100

100 × 30 = 4000T

T = 3000/4000

T = 0.75 (same as 0.75 × 12 months = 9 months)

5 0
3 years ago
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