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Anna [14]
3 years ago
12

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:

  1. 3(2) = 3 × 2 = 6
  2. Plug 6 in: 12 + {10 ÷ [11 - 6]}
  3. 11 - 6 = 5
  4. Plug 5 in: 12 + {10 ÷ 5}
  5. 10 ÷ 5 = 2
  6. Plug 2 in: 12 + 2
  7. 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}&#10;\\\\\\&#10;\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

The 95% confidence interval for proportion is

\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)

= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)

= 0.85 +/- 0.022

= 0.028, 0.872

The sample should use at least 10 successes and 10 failures.

n * \widehat p = 1013 * 0.85 = 861 > 10

n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10

As the sample size is larger, we can use an approximate formula for the standard error.

Learn more on Confidence intervals here:

brainly.com/question/8961482

#SPJ4

3 0
1 year ago
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