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egoroff_w [7]
3 years ago
13

The ground temperature at an airport is 12 °C. The temperature decreases by 5.4 °C for every increase of 1 kilometer above the g

round. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Decrease in the temperature: 5.4×5=27°C

Final temperature: 12-27=-15°C

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A triangle has side lengths of 9 in, 13 in, and 20 in. What is the measurement of this triangle’s largest angle?
zvonat [6]
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :

      i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.

       ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:

       a^{2}=b ^{2}+c ^{2}-2bc(cosA)

2. 

20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA)

400=81+169-234(cosA)   150=-234(cosA)

cosA=150/-234= -0.641

3. m(A) = Arccos(-0.641)≈130°, 

4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
4 0
3 years ago
Read 2 more answers
PLEASE HELP The volume of a cube is defined by the function, V(x), where the volume is measured in cubic meters. Find a polynomi
olya-2409 [2.1K]

we have

V(x)=x^3-12x^2+48x-64

we know that

The volume of a cube is equal to

V=b^{3}

where

b is the length side of a cube

Using a graph tool------> find the roots of the polynomial

see the attached figure

x=4

so

x^3-12x^2+48x-64=(x-4)^{3}

therefore

<u>The answer is</u>

the length side of a cube is equal to (x-4)

5 0
3 years ago
PLSSSS HELPPPPPP ME WITH MATHHH
Ivenika [448]

Answer:

x = 62

Step-by-step explanation:

If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees)  and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.

7 0
3 years ago
Read 2 more answers
The equation of this line is
fomenos

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

6 0
2 years ago
The mean work week for engineers in start-up companies is claimed to be about 64 hours with a standard deviation of 8 hours. Kar
blondinia [14]

Answer:

1.) mean

2.) H0 : μ = 64

3.) 0.0028

4) Yes

Step-by-step explanation:

Null hypothesis ; H0 : μ = 64

Alternative hypothesis ; H1 : μ < 64

From the data Given :

70; 45; 55; 60; 65; 55; 55; 60; 50; 55

Using calculator :

Xbar = 57

Sample size, n = 10

Standard deviation, s = 7.14

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(57 - 64) ÷ 8 / sqrt(10)

Test statistic = - 2.77

Pvalue = (Z < - 2.77) = 0.0028 ( Z probability calculator)

α = 10% = 0.1

Reject H0 ; if P < α

Here,

P < α ; Hence, we reject the null

6 0
3 years ago
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