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2 years ago

A triangle has sides of length 34, 30, and 16. Is it a right triangle?

Mathematics

1 answer:

stich3 [128]2 years ago

6 0

Answer:

Yes it is a right angle.

Step-by-step explanation:

By using,

h^2 =p^2 + b^2

34^2 = 30^2 + 16^2

1156 = 900 + 256

Hence, 1156 = 1156 proved....

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hayden solved this equation using the steps shown. |x-3|=4. step 1: x-3=4.step 2: x-3+3=4+3. solution: x=7. based on the definit

PolarNik [594]

Answer:

step 3: x - 3 = -4

step 4: x - 3 + 3 = -4 + 3

second solution: x = -1

Step-by-step explanation:

The definition of absolute value is:

|x| = y -> x = y or x = -y

Hayden did only the first part:

|x-3|=4 -> x-3 = 4

And he found the first solution: x = 7.

But know he needs to do the second part, that is, make the right side equal the negative of the left side:

step 3: x - 3 = -4

step 4: x - 3 + 3 = -4 + 3

second solution: x = -1

8 0

2 years ago

Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options.

masha68 [24]

Answer:

Step-by-step explanation:

The reason the percents are not the same is probably because you are finding percentage diffrences from diffrent numbers.

4 0

2 years ago

Read 2 more answers

The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development

Ann [662]

Answer:

Part A:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

P(X=15)=0.17456

Part D:

P(X≥15)=0.80417

Part E:

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

Step-by-step explanation:

Part A:

Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks

It means:

$P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}$

x is a binomial Random Variable.

Part B:

Value of p=0.8

Value of n=20

Part C:

x=15

$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

By solving above Expression:

P(X=15)=0.17456

Part D:

P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)

$P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\$

P(X=15)=0.17456

$P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819$

$P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536$

$P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153$

Now, Adding Probabilities:

$P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\$

P(X≥15)=0.80417

Part E:

Mean Distribution:

E(x)=n*p

E(x)=20*0.8

E(x)=16

E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.

6 0

2 years ago

Pauline withdrew $7.50 from her savings account every day for 3 days. Which expression is the best choice to help her determine

artcher [175]

Answer:

$\$(-7.50)(3\ days)= - 22.50$

Step-by-step explanation:

Given: Pauline withdrew $7.50 each day from her saving account.

She withdrew money for 3 days.

As Pauline is withdrawing the money, therefore the amount will be in negative

Now finding the expression for total amount of money withdrew.

Total money withdrew = $(Money\ withdrew\ each\ day)\times (number\ of\ day)$

∴ Total money withdrew = $\$ -7.50\times 3\ days= - 22.50$

Hence, the expression to determine the total amount of money she withdrew is $(-7.50)(3)= -22.5$ and Total money she withdrew is -$22.5

7 0

2 years ago

PLEASE HELP WHAT IS THE ANSWER SHOW WORK PLEASE !!!

Mrac [35]

Answer:

d = 6.1m

n = 7km

Step-by-step explanation:

To find the variables, use tan

⇒ tan = $\frac{opposite}{adjacent}$

finding d:

⇒tan 63 = $\frac{d}{3.1}$

tan of 63 is 1.963

⇒ 1.963 = $\frac{d}{3.1}$

multiply 3.1 on both sides

⇒ 1.963 x 3.1 = $\frac{d}{3.1}$ x 3.1

⇒ 6.0853 = d

round to the nearest tenth:

⇒ 6.0853 = 6.1

finding n:

⇒ tan 45 = $\frac{7}{n}$

tan of 45 is 1

⇒ 1 = $\frac{7}{n}$

multiply 7 on both sides:

⇒ 1 x 7 = $\frac{7}{n}$ x 7

7 = n

7 0

2 years ago

Read 2 more answers