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sergey [27]
2 years ago
7

Use the Pythagorean Theorem to solve for the missing side length. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Ede4ka [16]2 years ago
8 0

Answer:

B= 6

Step-by-step explanation:

pythagorean theorem formula is a² + b² = c²

so: 8² + b² = 10²

then: 64 + b² = 100

subtract 64 from both sides to get b²= 36

square root 36 and you get 6 for b

answer: B= 6

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Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P
ss7ja [257]

Answer:

\huge\boxed{\text{At least an } 87\%}

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

\displaystyle \frac{x_1+x_2+...x_n}{n}

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as x.

\displaystyle \frac{98+72+87+x}{4} \geq 86 (since we want AT LEAST an 86).

Let's solve this inequality for x.

  • \frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4
  • 98+72+87+x \geq 344
  • 257 + x \geq 344
  • 257 + x  - 257 \geq 344 - 257
  • x \geq 87

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0
2 years ago
Yo can someone help me out, I know the volume but which units again?
Jet001 [13]

meters cube or m³

Volume uses '³' or cube units on 3d models.

Area uses '²' or square units on 2d models.

6 0
3 years ago
Write the quadratic equation in standard form and then choose the value of "b." (2x - 1)(x + 5) = 0
Sunny_sXe [5.5K]
If we were to foil
after experieence

we know
ax²+bx+c=0

and
in form
(ax+b)(cx+d)=0
if we expand it, we get
acx²+bcx+adx+bd=0
or
(ac)x²+(bc+ad)x+(bd)=0
compare to
ax²+bx+c=0
we notice that the middle terms (x terms) are

b=(bc+ad)
so

in form
(2x-1)(1x+5)
b=bc+ad=(-1*1+2*5)=-1+10=9

b=9
or you could just expand it
3 0
2 years ago
What was two. thirds and fifth twelve
Harrizon [31]
The answer is 1 and 1/12 because you have to have a common denomonator.
4 0
3 years ago
How much is a square foot if the room is 15ft x 28ft?
Scrat [10]

Answer:

1 foot squared

Step-by-step explanation:

Er... a square foot is 1 foot squared

4 0
2 years ago
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