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MrRissso [65]
3 years ago
10

Help me...... question: 12 + 2x - 14x + 8=

Mathematics
2 answers:
Tasya [4]3 years ago
5 0
Answer : -12x + 20 :)
riadik2000 [5.3K]3 years ago
4 0

Answer:

-12x+20

Step-by-step explanation:

Subtract similar numbers:

2x - 14x = -12x

Product:

12 - 12x + 8

Group the terms that are similar:

-12x + 12 + 8

Add the numbers:

-12x + 20

Final answer:

-12x + 20

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The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the tr
malfutka [58]

For this case we have that by definition, the area of a triangle is given by:

A = \frac {b * h} {2}

Where:

b: It is the base of the triangle

h: It is the height of the triangle

According to the statement data we have:

b = 6 + 2h

Substituting we have:

88 = \frac {(6 + 2h) * h} {2}\\176 = 6h + 2h ^ 2\\2h ^ 2 + 6h-176 = 0

We divide between 2 on both sides:

h ^ 2 + 3h-88 = 0

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.

These numbers are +11 and -8.

(h + 11) (h-8) = 0

We have two roots:

h = -11\\h = 8

We choose the positive value.

Thus, the base of the triangle is:b = 6 + 2 (8) = 22

Answer:

The base of the triangle is 22 units.

5 0
3 years ago
Read 2 more answers
What is the approximate value of sin B?
Jlenok [28]
The acronym for trigs is SOH CAH TOA
Sine means opposite divided by hypotenuse
So, let us find sine.
The opposie side is 16
The hypotenuse is 17.46
16/17.46
Use your calculator
The answer is ≈ 0.9164
6 0
3 years ago
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The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 13001300
Ket [755]

Answer:

No, there is not enough evidence at the 0.02 level to support the strategist's claim.

Step-by-step explanation:

We are given that a political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

And, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%, i.e;

Null Hypothesis, H_0 : p = 0.54 {means that the percentage of residents who favor construction is 54%}

Alternate Hypothesis, H_1 : p > 0.54 {means that the percentage of residents who favor construction is more than 54%}

The test statistics we will use here is;

                 T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual percentage of residents who favor construction = 0.54

           \hat p = percentage of residents who favor construction in a sample of

                  1300 voters = 0.57

           n = sample of voters = 1300

So, Test statistics = \frac{0.57 -0.54}{\sqrt{\frac{0.57(1- 0.57)}{1300} } }

                              = 2.185

Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the percentage of residents who favor construction is 54% and the strategist's claim is not supported.

4 0
3 years ago
This figure shows the nose cone of a rocket used for launching satellites. The nose cone houses the satellite until the satellit
egoroff_w [7]
The formula for the volume of a cone, V, is:

V = [1/3] * π * (radius)^2 * height

Here radius = 6 feet / 2 = 3 feet

Height = 15 feet

V = [1/3] π (3 feet)^2 * 15 feet = 45π feet^3

Answer: 45π feet^3
3 0
3 years ago
Read 2 more answers
In an isosceles right triangle, if the hypotenuse is<br> 22 , then each leg is
galina1969 [7]

Answer: 11 sqrt2 inches

Step-by-step explanation:

have a good night :)

7 0
3 years ago
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