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2 years ago

Find the hypotenus of the following triangles.

Mathematics

1 answer:

omeli [17]2 years ago

6 0

Answer:

a 17, b 10, c 15, d 20

Step-by-step explanation:

a^2+b^2=c^2

64+225 = 289

a = 17

36+64 = 100

b = 10

81+144 = 225

c = 15

256+144 = 20

Hope that helps

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2 years ago

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zaharov [31]

Answer:

$600 at 8%
$2400 at 3%

Step-by-step explanation:

You have the right numbers, but the wrong accounts.

Let x represent the amount invested at 8% (the highest rate). Then the total interest is ...

.08x +.03(3000 -x) = .04(3000)

.05x = .01(3000) . . . . subtract .03(3000)

x = 3000/5 = 600

Matthew invested $600 at 8%, $2400 at 3%.

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<em>Comment on checking your answer</em>

You may notice that the overall interest rate is 4%, closer to 3% than to 8%. That means more of the money must be invested at 3% than at 8%.

8 0

3 years ago

PLEASE HELP FAST ILL GIVE BRAINLIEST

Marta_Voda [28]

The answer to that would be step 2

8 0

3 years ago

Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .

Andrej [43]

<em>The distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Explanation:</h2>

Endpoints of a Line segments are places where they end or stop. Line segments are named after their endpoints. In this case, those endpoints are Y and Z, so the line segment would be:

$\overline{YZ} \ or \ \overline{ZY}$

To find the length of this segment with endpoints Y(2, 8) and Z(-2, 5), let's use the Distance Formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$Let's \ write: \\ \\ Y(x_{1},y_{1}) \rightarrow Y(2, 8) \\ \\ Z(x_{2},y_{2}) \rightarrow (-2, 5) \\ \\ \\ Substituting: \\ \\ d=\sqrt{(-2-2))^2+(5-8)}^2 \\ \\ d=\sqrt{(-4)^2+(-3)^2} \\ \\ d=\sqrt{16+9} \\ \\ d=\sqrt{25} \\ \\ \boxed{d=5}$

Finally, <em>the distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Learn more:</h2>

Distance Formula: brainly.com/question/10134840

#LearnWithBrainly

3 0

3 years ago

Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......

MakcuM [25]

Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

$S_n= \frac{a_1(1-r^n)}{1-r}$

common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term

$S_8= \frac{-5(1-(-3)^8)}{1-(-3)}$
$S_8= \frac{-5(1-6561)}{1+3}$
$S_8= \frac{-5(-6560)}{4}$
$S_8= \frac{32800}{4}$
$S_8= 8200$

the sum is 8200

7 0

3 years ago