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d1i1m1o1n [39]
3 years ago
15

What's the answer to this problem

Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0
So you have to subtract 115 from 15. Then you divide that number by 5 for each relative. That should give you your answer....$20
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Points RR, LL, and SS are:
vovikov84 [41]

Answer: C

Step-by-step explanation:

8 0
3 years ago
Consider the statement "2 is a factor of n2 + 3n."
deff fn [24]

Answer:

The answer is the last one:

4 , 10 , 18 , (k + 1)² + 3(k + 1) and k² + 5k + 4

Step-by-step explanation:

∵ 2 is a factor of n² + 3n

∵ n = 1 ⇒ ∴ (1)² + 3(1) = 1 + 3 = 4 ⇒ 2 is a factor of 4

∵ n = 2 ⇒ ∴ (2)² + 3(2) = 4 + 6 = 10 ⇒ 2 is a factor of 10

∵ n = 3 ⇒ ∴ (3)² + 3(3) = 9 + 9 = 18 ⇒ 2 is a factor of 18

∵ n = k + 1 ⇒ ∴ (k + 1)² + 3(k + 1) ⇒ before the simplify

∵ n = k + 1 ⇒ ∴ k² + 2k + 1 + 3k + 3 = k² + 5k + 4 ⇒ after simplify

5 0
3 years ago
A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional
photoshop1234 [79]
Let the length be x and the width be w

The perimeter will be:
2x+3w=1500

thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x

The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²

The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.

Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m

The width will be 250 m

4 0
3 years ago
Lasers can provide highly accurate measurements of small movements. To determine the accuracy of such a laser, it was used to ta
sp2606 [1]

Answer: p-value \approx 0.01

Step-by-step explanation:

Hypothesis testing

\\\left\{\begin{matrix}H_0 : \mu_0 =0\\ H_1: \mu_0 \neq 0\end{matrix}\right.\\

For this problem, we need to use the t-student distribution to  make inference about the data. We calculate the t-statistics as below:

\bar{X} = 20\:\mu m\\S.E. = 60\:\mu m\\n=82\\t_{stat} = \frac{\bar{X}-\mu_0}{S.E/\sqrt{n}}=\frac{20-0}{60/\sqrt{82}}=3.0185

Using a t-statistics table, or using the function TDIST in Microsoft Excel with t_{stat} = 3.0185,\: df (degree\: of\: freedom) = 14 - 1 = 13 with two-tailed distribution, we obtain p-value \approx 0.01.

4 0
3 years ago
The fourth question
kodGreya [7K]

Step-by-step explanation:

Given:

AD is the bisector of ∠BAC

∠CPD = ∠BPD

1) ∠CAP = ∠BAP

Reason: definition of angle bisector

2) ∠CPD = 180 − ∠APC, ∠BPD = 180 − ∠APB

Reason: definition of supplementary angles

3) 180 − ∠APC = 180 − ∠APB

Reason: substitution

4) ∠APC = ∠APB

Reason: algebra

5) AP = AP

Reason: reflexive property

6) ΔAPC ≅ ΔAPB

Reason: ASA congruence

4 0
3 years ago
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