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1 year ago

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The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len

gth of 10 StartRoot 5 EndRoot and the lengths of the other 2 sides are congruent. What is the length of one leg of the triangle? 5 StartRoot 5 EndRoot 5 StartRoot 10 EndRoot 10 StartRoot 5 EndRoot 10 StartRoot 10 EndRoot

2 answers:

Reptile [31]1 year ago

6 0

Answer:

if thats not part of your answer guys here i got you

12 StartRoot 2 EndRoot in. meaning <u><em>B </em></u>

if u have the number with 24

Step-by-step explanation:

egd 2020

this is my question the hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?

the answer was <u>B</u>

suter [353]1 year ago

4 0

Answer:

$5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ----> the length of one leg of the triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse

a and b are the legs

we have

$c=10\sqrt{5}\ units$

$a=b=x\ units$

substitute

$(10\sqrt{5})^2=x^2+x^2$

$500=2x^2\\x^2=250\\x=\sqrt{250}\ units$

Simplify

$x=5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

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Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she

eduard

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6 0

1 year ago

Using the midpoint method, find the cross-price elasticity of demand for FedEx and UPS overnight shipping if the price of FedEx

IrinaK [193]

Answer:

Cross price elasticity using midpoint method = 0.56

Step-by-step explanation:

Using the mid-point method

Cross-price Elasticity of Demand = <u>% change in Quantity demanded of UPS</u>

% change of price of FedEx

%change in Quantity demanded of UPS

using Mid-point method = <u> Q2-Q1 </u> × 100

(Q1+Q2)÷ 2

= <u>1.3-1.2 </u> × 100

(1.2+1.3)÷2

= <u>0.1 </u> × 100

1.25

= 8%

% change in price of FedEx

using midpoint method =<u> P2-P1 </u>× 100

(P1+P2)÷ 2

=<u> 75-65 </u>× 100

(65+75)÷2

=<u> 10 </u> × 100

70

= 14.28%

Cross-price Elasticity of Demand = 8% ÷ 14.28%

using midpoint method = 0.56

6 0

1 year ago

What value does the 6 represent in the number 240.65

Kobotan [32]

Answer:

000.60

six hundredths

4 0

1 year ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

1 year ago

Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y grea

Nataly [62]

Answer:

Option C.

Step-by-step explanation:

The given expression is

$\sqrt{128x^8y^3z^9}$

It can be written as

$\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}$

$=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}$

$=\sqrt{(8x^4yz^4)^2\cdot 2yz}$

$=8x^4yz^4\sqrt{2yz}$

Therefore, the correct option is C.

6 0

1 year ago