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Aleksandr [31]
3 years ago
14

Answers are A:4 square root 5 B:16 C:6 D:8 square root 5

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0

Answer:

\large\boxed{A:\ 4\sqrt5}

Step-by-step explanation:

<em>Look at the picture.</em>

ΔABC and ΔADB are similar. The corresponding angles are in proportion:

\dfrac{AB}{AC}=\dfrac{AD}{AB}

We have:

AB=x,\ AC=5+11=16,\ AD=5

Substitute:

\dfrac{x}{16}=\dfrac{5}{x}                 <em>cross multiply</em>

x^2=(16)(5)\to x=\sqrt{(16)(5)}         <em>use √ab = √a · √b</em>

x=\sqrt{16}\cdot\sqrt5\\\\x=4\sqrt5

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Help ASAP, please
laila [671]
I think it is 6 i hope i help please dont report bec i am sorry if ii get it wrong
 

7 0
3 years ago
1.What are the values of the 6s in 36,621?
enot [183]
1) The value of 6s in 36,621 are 6,000 and 600.

first 6 is in the thousands place value while the second 6 is in the hundreds place value.
6 x 1000 = 6,000 and 6 x 100 = 600

2) The first 4 is ten times greater than the second 4 is shown in 354,426

the first 4 is in the thousands place value while the second 4 is in the hundreds place value
4 x 1000 = 4000 and 4 x 100 = 400

based on the question the first 4, which is 4000, is ten times greater than the second 4, which is 400.
we can check if this statement is true either by dividing 4000 by ten or multiplying 400 by ten.

4000/10 = 400 ; 400 x 10 = 4000. therefor, out of the 4 numbers given, the correct one is 354,426

3) The relationship of the two 5s in 552 is shown in 500 ÷ 50 = 10

based on its place value, the first five is in the hundreds place and the second five is in the tens place.

500 ÷ 50 = 10. This equation states that 500 is ten times greater than 50.

4) In 2,077 the first 7 is greater than the second 7 by 10 times.

using place value, first 7 is in the tens place while second 7 is in the ones place.

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8 0
3 years ago
A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
denis23 [38]
First question:
interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03

Second question:
Because interest is 8% semiannually that means that after 35 years relative value of interest will be   1.04^(35*2)
6000*1.04^70 = 93,429.71

Third question:
after first year tractor's value will be 0.86*15450. After 3 years its value will be:
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6 0
3 years ago
40/50 to a simpel fraction
Otrada [13]

Answer:

4/5

Step-by-step explanation:

just divide by 10 since that's the largest number that both numbers can equally be divisible by

5 0
3 years ago
Read 2 more answers
Solve for x: x5 + x4 − 7x3 − 7x2 − 144x − 144 = 0
motikmotik

x^5 + x^4 - 7x^3 - 7x^2 -144x - 144 = 0 \\x^4(x+1)-7x^2(x+1)-144(x+1)=0\\(x^4-7x^2-144)(x+1)=0\\\\x+1=0\Rightarrow x=-1\\\\x^4-7x^2-144=0\\x^4-16x^2+9x^2-144=0\\x^2(x^2-16)+9(x^2-16)=0\\(x^2+9)(x^2-16)=0\\(x^2+9)(x-4)(x+4)=0\\\\x^2+9=0\vee x-4=0 \vee x+4=0\\x=4 \vee x=-4\\\\x\in\{-4,-1,4\}

6 0
3 years ago
Read 2 more answers
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