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slamgirl [31]
3 years ago
8

The measures of the three angles of a triangle are given by 1. 3x +1 2. 2x -3, and 9x. What is the measure of the smallest angle

?
A. 13 degrees
B. 23 degrees
C. 29 degrees
D. 40 degrees
Mathematics
1 answer:
nordsb [41]3 years ago
4 0
Since the total measure of all the angles of a triangle is always 180, solve for x with the equation: 3x+1+2x-3+9x=180. x=13. Now plug in x and look for the smallest one, which will be B. 23 degrees.
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F = 0.27<br>100 f = (0.27)(100)<br>100 f = ?​
Sholpan [36]
100 f= 27

(0.27)*100=27
3 0
3 years ago
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Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
Lady bird [3.3K]

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = \frac{4}{3}\pir^{3}

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = \frac{4}{3} x \frac{22}{7} x (6)^{3}

                              = \frac{88}{21} x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

3 0
3 years ago
Write the ordered pair for a point that is 9 units to the left of the origin and lies on the x-axis.
natulia [17]
(((((((((-9,0)))))))))
8 0
3 years ago
Is there any systematic tendency for part-time college faculty to hold their students to different standards than do full-time f
alexandr1967 [171]

Answer:

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

-1. 34

0.1837

Step-by-step explanation:

Full time :

n1 = 125

x1 = 2.7386

s1 = 0.65342

Part time :

n2 = 88

x2 = 2.8439

s2 = 0.49241

H0 : μ1 - μ2 = 0

H1 : μ1 - μ2 ≠ 0

Test statistic :

The test statistic :

(x1 - x2) / sqrt[(s1²/n1 + s2²/n2)]

(2.7386 - 2.8439) / sqrt[(0.65342²/125 + 0.49241²/88)]

−0.1053 / sqrt(0.0034156615712 + 0.0027553)

-0.1053 /0.0785554

= - 1.34

Test statistic = - 1.34

The Pvalue :

Using df = smaller n - 1 = 88 - 1 = 87

Pvalue from test statistic score ;

Pvalue = 0.1837

Pvalue > α ; We fail to reject the null and conclude that the GPA does not differ.

At α = 0.01 ; the result is insignificant

6 0
2 years ago
What are the zeros of f(x) = x2 + 3x - 10?
Zielflug [23.3K]

Answer:

(x+5) (x-2)

SO  -5 and 2 option A

Step-by-step explanation:

factor it. and set equal to zero.

6 0
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