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kodGreya [7K]
3 years ago
10

Tell whether the triangle with the given side lengths is a right triangle.

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

It is a right triangle

Step-by-step explanation:

Let,

Base of the triangle = b = 10.5 feet

Hypotenuse of the triangle= h = 14.5 feet

Perpendicular of the triangle = p = 10 feet

According to Pythagoras  theorem;

h^{2}=p^{2} +b^{2}

14.5^{2}=10^{2} +10.5^{2}

210.25=100+110.25

210.25=210.25

As both side is equal, so it is a right triangle.

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Write the formula for the sum of 7 consecutive numbers if the first number is m. \
vlabodo [156]

Answer:

Step-by-step explanation:

If you have an odd number of consecutive numbers, the middle number should be x. So 7 of them would be written as

(x - 3)+(x - 2) + (x - 1) + x + (x + 1) + (x + 2) + (x+3)

That way all you are left with is 7x because the integers cancel.

That is not your question

You question is

Sum = m+(m + 1)  + (m + 2) + (m + 3) + (m + 4) + (m + 5) + (m + 6)

3 0
3 years ago
Read 2 more answers
onah’s sister is 10 years old. Jonah is 8 years younger than twice his sister’s age. Write an expression for Jonah’s age.
Serga [27]

Answer:

Step-by-step explanation:

Jonah sister is 10 years old. Jonah is 8 years younger than twice hos sister age

j = 2s - 8

this is the equation.

You can solve it by substituting in 10 for s, because sister is 10 years old.

5 0
2 years ago
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Home Videos Inc. surveys 450 households and finds that the mean amount spent for renting or buying videos is P135 a month and th
adell [148]

SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

6 0
1 year ago
I need help im not understanding how to do this
galina1969 [7]

Answer:

(c, b)

Step-by-step explanation:

Add the coordinates together and divide by 2

x coordinates: 2c + 0 = 2c, divided by 2 = c

y coordinates: 0 + 2b = 2b, divided by 2 = b

3 0
2 years ago
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Sebastian and his family picked 4 1/4 bushels of red apples and 2 5/6 of green apples at the orchard. How many more red apples w
11111nata11111 [884]

Answer:

1 5/12

Step-by-step explanation:

4 1/4- 2 5/6= 1 5/12

Also   1 5/12+  2 5/6= 4 1/4

8 0
3 years ago
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