All categories

3 years ago

I need help with 14 and 15!?

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Pythagorean theorem states that the hypogenous of a right triangle is $c=\sqrt{a^{2}+b^{2}}$ . The hypogenous is the longest part of the triangle which is directly across from the 90 degree angle.

a = 9

b = 12

so,

$c = \sqrt{9^{2}+12^{2} } = 15$

You might be interested in

What is the simplified value of the exponential expression 16 superscript one-fourth? 2 4

USPshnik [31]

The simplified value of the exponential expression is 2.

<h3>How to get the simplified expression?</h3>

Here we need to simplify the expression:

$16^{1/4}$

First, you need to remember that:

$\sqrt[n]{x} = x^{1/n}$

Then we can just write:

$16^{1/4} = \sqrt[4]{16}$

And now, you can remember that:

2*2 = 4

Then:

2*2*2*2 = 4*4 = 16

From this, we can conclude that:

$2^4 = 16\\\\\sqrt[4]{16} = 2$

So we conclude that the simplified value is 2.

If you want to learn more about exponential expressions:

brainly.com/question/11464095

#SPJ4

3 0

2 years ago

(a²)³ × a5 tell me the answer step by step please

alexandr1967 [171]

Answer:

a^11

Step-by-step explanation:

a to the power of 2 to the power of 3 equals to a to the power of 6

then, multiplied to a to the fifth, you add 5 by 6, which is 11

4 0

3 years ago

Uestion 2 (1 point)

SSSSS [86.1K]

Answer:

-The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup( $P(meat)\neq P(pasta)+P(soup)$ )

Step-by-step explanation:

Given that the number of events is 25 and 13 are meat dishes, 8 are pasta dishes, and 4 are soups.

-Probability is defined as the number of successful event divide by the total number of events.

#find probability of each event:

$P(meat)=\frac{13}{25}=0.52\\\\P(pasta)=\frac{8}{25}=0.32\\\\P(soup)=\frac{4}{25}=0.16$

$P(meat)\neq P(pasta)\neq P(soup)$

Hence, the FALSE choice is:The probability of choosing a meat dish is equal to the probability of choosing a pasta dish or a soup.

6 0

3 years ago

Read 2 more answers

What does "d2" mean in trigonometry?

Lisa [10]

D is a notation for differential. There is a d2 in your formula because in the numerator there are two differentials. The formula is thus the second derivative of a function with respect to two variables.

7 0

3 years ago

An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s

Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, $s=120\ ft/s$

The height 'h' of the debris above the ground is given as:

$h(t)=-16t^2+120t$

As per question, $h(t)=56\ ft$ . Therefore,

$56=-16t^2+120t$

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

$-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0$

Using quadratic formula to solve for 't', we get:

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s$

Therefore, the debris will reach a height of 56 ft twice.

When time $t=0.5\ s$ during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at $t=7\ s$ , the height is 56 ft.

5 0

3 years ago