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Vika [28.1K]
2 years ago
6

An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Xelga [282]2 years ago
5 0

Answer:

41.3° and 48.7°

Step-by-step explanation:

Complementary angles are angles with the sum of 90°

if one of the angle is 7.4° less than other

(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and

41.3 + 7.4 = 48.7° is the measure of bigger angle

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The diameter of a circular garden is 22 feet. What is the approximate area of the shaded region
SOVA2 [1]

Answer:

Step-by-step explanation:

The radius it .5 of the diameter so in this case the radius is 11.  The formula for area is pi*r^2= pi*11^2=pi*121=380.13

7 0
3 years ago
Read 2 more answers
What is (14x^2– 27x+9) / (7x-3)?<br><br> A. 7x-3<br> B. 2x-3<br> C. -211x+9<br> D. 2x-33
Yakvenalex [24]

Answer:

B. 2x - 3

Step-by-step explanation:

\rm \frac{ {14x}^{2}  - 27x + 9}{7x - 3}

\rm  =  \frac{ \cancel{(7x - 3)}(2x - 3)}{ \cancel{7x - 3}}

\boxed{ \rm   \bold{= 2x - 3}}

4 0
2 years ago
A sphere has a diameter of 0.926 inch what is the volume of the sphere use 3.14 for Pie
lord [1]

Answer:

The volume of the sphere is 0.415\ \text{inch}^3.

Step-by-step explanation:

The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

V=\dfrac{4}{3}\pi r^3

Since, r is radius, r = d/2 = 0.463 inch

So,

V=\dfrac{4}{3}\times 3.14\times (0.463)^3\\\\V=0.415\ \text{inch}^3

So, the volume of the sphere is 0.415\ \text{inch}^3.

4 0
2 years ago
The accompanying data represent the miles per gallon of a random sample of cars with a​ three-cylinder, 1.0 liter engine.a. Comp
Kobotan [32]

Answer:

1). Z score = 1.464733

Mean = 38.87917

Standard deviation = 3.609405

2). Quartiles:

Q1 = 37.025

Q2 = 38.450

Q3 = 40.800

3). IQR = 3.775

4).

CI (lower fence) = 37.4351

CI (upper fence) =  40.32323

5). There is outlier in the data set. Please see attached box plot for evidence.

Step-by-step explanation:

1). By Z score, we mean:

Z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}},

where:

x-bar ==> mean(g) = 38.87917

\mu = 37.80

standard deviation = 3.609405

sample size (n) = 24.

2). By quantile, we mean:

Q = L + (i*(n/4) - Cf)*c

Where L is the lower class limit of the quartile class

Cf is the cumulative frequency before the quartile class

c  is the class size.

3) . IQR = Q3 - Q1

4). CI = \mu \pm *Z_{\alpha/2} \frac{\sigma}{\sqrt{n}},

Where Z_{\alpha/2}  ==> 1.96

In order to replicate and obtain the result, please use the R code below:

g = c(31.5, 36.0, 37.8, 38.5, 40.1, 42.2,34.2, 36.2, 38.1, 38.7, 40.6, 42.5,34.7, 37.3, 38.2, 39.5,  

41.4, 43.4,35.6, 37.6, 38.4, 39.6, 41.7, 49.3)

boxplot(g)

Z = (mean(g) - 37.8)/(sd(g)/sqrt(length(g)))

mean(g)

quantile(g)

IQR(g)

CIl = mean(g) - 1.96*(sd(g)/sqrt(length(g)))

CIU = mean(g) + 1.96*(sd(g)/sqrt(length(g)))

4 0
3 years ago
Giving out brainliest answer !!!! help me out asap please !!!!
Tamiku [17]

9514 1404 393

Answer:

  45.6°

Step-by-step explanation:

The attached result was found by typing "arccos(7/10) in degrees" into a web browser search box.

Your calculator can give you the same result. The inverse cosine function often shares a key with the cosine function. It is often marked as cos⁻¹. Be sure that the angle mode is set to degrees, not radians.

5 0
3 years ago
Read 2 more answers
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