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olchik [2.2K]
4 years ago
14

Josh estimates the height of his desk. what is the reasonable estimate?

Mathematics
1 answer:
Galina-37 [17]4 years ago
8 0
<span>The complete question includes these choices: A)1 foot B)2 feet C)5 feet D)9 feet The correct answer is B) 2 feet, approx. 24 inches; most standard desks have a height between 28'' to 30''. The answer A is too low, C and D are too much, the perfect answer would be at least 3-4 feet, but as this question proposes only these answers, the nearest estimating value is B)2 feet. </span>
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What are the points for f(x)=3^(x-1)-2
Savatey [412]

Answer:  (0, -1 \frac{2}{3}), (1, -1), (2, 1)

<u>Step-by-step explanation:</u>

Set the exponent equal to zero - <em>that is your anchor point</em>.

Then choose an x-value less than and greater than the anchor point.

\left\begin{array}{c|c|l}&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^{0-1}-2=3^{-1}-2=\frac{1}{3}-2 = -1\frac{2}{3}}\\\\anchor\ point&1&3^{1-1}-2=3^{0}-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^{2-1}-2=3^{1}-2=3-2 = 1}\end{array}\right

4 0
4 years ago
Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14
Eva8 [605]
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
3 0
3 years ago
Solve for b in the formula C = AB + D
Travka [436]

Answer:

B = C - D / A

Step-by-step explanation:

C = AB + D

subtract D

C - D = AB

Divide by A

B = C - D / A

C and D are both divided by A

8 0
3 years ago
If ABCD is a square and AB = 10, what is the measure of BD? (rounded to the nearest hundredth) A) 7.07 B) 14.14 C) 19.21 D) 28.2
damaskus [11]

Answer:

B)14.14

Step-by-step explanation:

a square is made of 2 right triangles

the two legs of one right triangle are both 10 so

using Pythagorean theorem we get the square root of 10^2+10^2

this solves to the square root of (200)

which is ≈ 14.14...

6 0
2 years ago
Does anyone how to do system equations but with 3 of them?
Serhud [2]

Answer:

is all the equations together or you need to solve each seperately?

8 0
3 years ago
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