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3 years ago

Solve the expression using the order of operation: Find the hypotenuse of a right triangle if the legs are 8cm and 5cm by using

the Pythagorean theorem: (leg^2 +leg^2=hypotenuse^2)
Round your answer to the nearest hundredth if necessary
Hypotenuse =. Cm

I got 89^2 but I don’t think I I did it correctly

Mathematics

1 answer:

DochEvi [55]3 years ago

4 0

${a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {5}^{2} = {c}^{2} \\ 64 + 25 = {c}^{2} \\ 89 = {c}^{2} \\ \sqrt{89} = {c}^{2} \\ 9.4 = c$

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Find the value of the given expression.<br> (see the image)

Andrews [41]

Answer:

d. 14

Step-by-step explanation:

3(2) = 3 × 2 = 6
Plug 6 in: 12 + {10 ÷ [11 - 6]}
11 - 6 = 5
Plug 5 in: 12 + {10 ÷ 5}
10 ÷ 5 = 2
Plug 2 in: 12 + 2
12 + 2 = 14

I hope this helps!

7 0

3 years ago

A rocket is launched at 85 ft./s from a launch pad that’s 28 feet above the ground. which equation can be used to determine the

3241004551 [841]

Answer:

$h(t)=-16t^2+85t+28$ is equation of height of rocket.

Option D is correct.

Step-by-step explanation:

Given: A rocket is launched with speed 85 ft/s from a height 28 feet.

Launching a rocket follows the path of parabola. The equation of rocket should be parabolic.

Parabolic equation of rocket is

Formula: $h(t)=\dfrac{1}2gt^2+v_0t+h_0$

g ⇒ acceleration due to gravity (-32 ft/s)

v ⇒ Initial velocity ( $v_0=85\ ft/s$ )

h ⇒ Initial height ( $h_0=28\ feet$ )

h(t) ⇒ function of height at any time t

Substitute the given values into formula

$h(t)=\frac{1}{2}(-32)t^2+(85)t+28$

$h(t)=-16t^2+85t+28$

D is correct.

6 0

3 years ago

Read 2 more answers

What was today's weather

guajiro [1.7K]

Is this a serious question?

3 0

2 years ago

Each pound of food C contains 6 ounces of ingredient P and 3 ounces of ingredient Q. Each pound of food D contains 4.5 ounces of

GuDViN [60]

So hmm the food C = 6p + 3q and the food D = 4.5p + 1.5q

now, if we check how much is the ratios of C/D for each component, then, mixture M = 144p + 60q, must contain the same ratio for each "p" and "q" component

$\bf \textit{ratio of "p"}\implies \cfrac{6}{4.5}\implies \cfrac{4}{3}
\\\\\\
\textit{ratio of "q"}\implies \cfrac{3}{1.5}\implies \cfrac{2}{1}$

so, if we divide the 144p by 4+3, or 7 even pieces, 4 must belong to food C and 3 to food D, retaining the ratio of 4/3

and we do the same for 60q, we divide it in 2+1 or 3 even pieces, but that one is very clear, 2 must belong to food C and 1 to food D, 60/3 is clear ends up with a ratio of 40 and 20

now the "p" part... ends up as $\bf \cfrac{144}{7}\cdot 4\qquad and\qquad \cfrac{144}{7}\cdot 3\implies \cfrac{576}{7}\qquad and\qquad \cfrac{432}{7}$

that's what I see it, as the ratio of 4/3 and 2/1 being retained in the mixture M

7 0

3 years ago

Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear se

ivolga24 [154]

The confidence interval is 0.028, 0.872

<h3>Given </h3>

862 of 1013 randomly selected adults wear seat belts.

The 95% confidence interval for the proportion of adults who always wear seat belts.

<h3>What is confidence interval?</h3>

A Confidence Interval is defined as a range of values we are sure our true value lies within it.

<h3>What is 95% confidence interval?</h3>

A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.

= 862/1013 = 0.85

At a 95% confidence interval ,the critical value is $z_{0.025} = 1.96$