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just olya [345]
3 years ago
7

Correct answer gets brainliest!!!!!

Mathematics
2 answers:
Aliun [14]3 years ago
5 0
Hello!

You can use the Pythagorean Theorem to solve this

Separate the rectangle into two triangles

a^{2} + b^{2} = c^{2}

c is the diagonal
a and b are the side lengths

Put in the values you know

5^{2} + 4^{2} = c^{2}

Square the numbers

25 + 16 =  c^{2}

Add

41 =  c^{2}

Take the square root of both sides

6.4 = c

The answer is B) 6.4 units

Hope this helps!
charle [14.2K]3 years ago
5 0
The best answer is 6.4 until


5 until-wrong
__________

6.4 until-right
___________

8.5 until-wrong
____________

9 until-wrong
_____________
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A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the loca
soldier1979 [14.2K]

Answer: C. At the α=0.05 significance level, they should conclude that more than 50% of adults support the tax increase.

Step-by-step explanation:

Given: Null hypothesis: H_0:p=0.5

Alternative hypothesis: H_a: p>0.5

p-value = 0.033

If the p-value is greater than alpha (p > . 05), then we fail to reject the null hypothesis.

If α=0.01 , then p-value > α i.e. we fail to reject the null hypothesis.

Conclusion: Exactly 50% of adults support the tax increase.

If α=0.05 then p-value < α i.e. we reject the null hypothesis.

Conclusion: more than 50% of adults support the tax increase.

Thus, Correct option: C .

8 0
3 years ago
David started across a lake 15 miles wide in his fishing boat at 10 miles per hour. He had to row the rest of the way at only 5
schepotkina [342]

Answer:

Total time = 2hrs

Step-by-step explanation:

Firstly, to outline some variables, with which we can construct some equations:

x = the time taken to cross the river at 10mph (in hrs)

y = the time taken to cross the river at 5mph (in hrs)

t = total time taken to cross the river (in hrs)

a = distance travelled at speed 10mph (in miles)

b = distance travelled at speed 5mph (in miles)

Then,

a + b = 15

t = x + y

y = ¹/₂(t) ∴ t = 2y, so,

x + y = 2y ∴ x = y

Secondly, we know speed = distance/time, so,

10 = a/x ⇒ x = a/10

5 = b/x ⇒ x = b/5

So,

a/10 = b/5 ∴ a = 2b

Thirdly, if a + b = 15, then,

2b + b = 15 ⇒ 3b = 15 ⇒ b = 5

[a = 2b ∴ a = 10]

Fourthly, x = b/5, so,

x = 5/5 = 1,

Since x = y, y = 1 and since t = 2y,

t = 2(1) = 2

The whole trip, therefore, took 2hrs.

5 0
3 years ago
How do i write 3x^4 6x in descedning powers?
irina [24]
(3×4)×(x^4×x^5)=18×x^5=18x^5
3 0
3 years ago
The bakery made 110 pumpkin muffins. They will be packed
Stolb23 [73]

Answer:

118

Step-by-step explanation:

you should have learned this in 1st grade

7 0
3 years ago
Read 2 more answers
A merchant marks up everything in the store by a standard 40%. What is the retail price of an item costing the merchant $15?
koban [17]

Answer:

$21

Step-by-step explanation:

15 x 1.4 = 21

Multiply by 1 to keep the original price, plus 0.4 for the 40%

7 0
2 years ago
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