Answer:
-3
Step-by-step explanation:
Question 23 of 25
Find x. Round your answer to the nearest integer.
15
37
х
O
A. 6
B. 9
0 o o
C. 12
D. 8
Answer:
[tex]x[/tex] rounded to the nearest integer would be 12.
Step-by-step explanation:
In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.
The value of x in the given triangle is 12, Option C is correct.
The given triangle is a right angled triangle.
We need to find the value of x.
We know that cosx is adjacent side by hypotenuse.
Cos 37 = Adjacent side/ Hypotenuse
The value of cos37 degrees is 0.7654
0.7654 = x/15
15×0.7654=x
11.5 =x
12=x
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12,000= 120 tens true or false
Answer:false
Step-by-step explanation:120 tens would be 1200
The number 12,000 does not equal 120 tens. Thus, it is false.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
12,000 = 120 tens
Simplify the equation, then we have
12,000 = 120 x 10
12,000 ≠ 1,200
The given equation is false.
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Subjects in a study by Dabonneville et al. (A-9) included a sample of 40 men who claimed to engage in a variety of sports activities (multisport). The mean body mass index (BMI) for these men was 22.41 with a standard deviation of 1.27. A sample of 24 male rugby players had a mean BMI of 27.75 with a standard deviation of 2.64. Is there sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men? Let a ¼ :01.
Answer:
The responses can be defined as follows:
Step-by-step explanation:
Given:
[tex]H_o : \mu_1 = \mu_2\\\\H_a : \mu_1 < \mu_2[/tex]
Testing the hypothesis:
[tex]Z=\frac{( \bar{x_1}-\bar{x_2})}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]
[tex]=\frac{(22.41-27.75)}{\sqrt{(\frac{1.27^2}{40}+\frac{2.64^2}{24})}}\\\\=-9.29\\\\[/tex]
[tex]a=0.01[/tex]
critical value [tex]Z(0.01)=-2.33[/tex] (using the standard normal table)
[tex]Z=-9.29<-2.33[/tex] so, we reject [tex]H_o[/tex].
Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.
At the null hypothesis, it is tested that rugby players do not have a higher BMI than the multi-sport men, that is, the subtraction of the means is not greater than 0, hence:
[tex]H_0: \mu_R - \mu_M \leq 0[/tex]
At the alternative hypothesis, it is tested if they have a higher BMI, that is:
[tex]H_1: \mu_R - \mu_M > 0[/tex]
We have the standard deviation for the samples, hence, the t-distribution is used.
The standard errors are given by:
[tex]s_M = \frac{1.27}{\sqrt{40}} = 0.2008[/tex]
[tex]s_R = \frac{2.64}{\sqrt{24}} = 0.5389[/tex]
For the distribution of differences, the mean and the standard error are given by:
[tex]\overline{x} = \mu_R - \mu_M = 27.75 - 22.41 = 5.34[/tex]
[tex]s = \sqrt{s_M^2 + s_R^2} = \sqrt{0.2008^2 + 0.5389^2} = 0.5751[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{5.34 - 0}{0.5751}[/tex]
[tex]t = 9.29[/tex]
Using a t-distribution calculator, for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 40 + 24 - 2 = 62 df, the critical value is of [tex]t^{\ast} = 1.67[/tex]
Since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.
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The circumference of circular hot tub at a hotel is 56.5 yards. What is the diameter of the hot tub?
Answer:
17.98
Step-by-step explanation:
Round it to whatever you usually do or what is in the instructions
A new car is purchased and a $30,000 loan is taken. The loan is for 7 years (84 months) and
the interest rate is 2.9% compounded monthly. What is the monthly payment?
Answer
around $250 per month
Step-by-step explanation:
Ryan is going to invest in an account paying an interest rate of 1.5%
compounded continuously. How much would Ryan need to invest, to the
nearest ten dollars, for the value of the account to reach $2,600 in 5 years?
Step-by-step explanation:
2,360×8=2,360 two thundered three hundred and sixty
help me please and thank u

Answer:
12.625 gets you a sucky car
Step-by-step explanation:
Please help! Brainlyest answer!!
Answer:
The first number line
Step-by-step explanation:
.05m + 50 < 55
Subtract 50 from both sides
.05m < 5
Divide both sides by .05
m < 100
The first number line
What is 8.05 × 10-5 in standard notation?
Answer:
0.0000805 0.00000805 805,000 8,050,000. i think
Step-by-step explanation:
Answer:
Using PEMDAS = 75.5
Step-by-step explanation:
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Hope this helps!
1. Based on the construction below, which conclusion
is not always true?
OA. AB 1 CD
OB. AB = CD
OC. AE = EB
OD. CE = DE
Answer: B ,I just completed the assignment
AB=CD is not always true. Therefore, option B is the correct answer.
From the given construction, we need to find which conclusion is not always true.
What is a line bisector?A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. 'Bisect' is the term used to describe dividing equally. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides.
Here, AB⊥CD.
Since CD is the perpendicular bisector of AB.
AE=EB and CE=DE
AB=CD is not always true. Therefore, option B is the correct answer.
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Select the correct answer.
Energized and Powercell are companies that manufacture alkaline batteries. Both companies claim that their batteries last longer than the average alkaline battery.
Anju decided to conduct a test to see whether their claims were true. He purchased 30 Energized batteries, 30 Powercell batteries, and batteries of other brands to conduct the test. The purchase selection was random, and the test was unbiased. The batteries that lasted longer than the average of all the batteries were stated to have passed the test. The batteries that did not last as long as the average of all the batteries were stated to have failed the test. The results for Energized and Powercell are displayed in this table.
Answer:
both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.
Step-by-step explanation:
PLATO USERS
Answer:
Both companies claim that their batteries last longer than the average alkaline battery is true .
Step-by-step explanation:
Both companies claim that their batteries last longer than the average alkaline battery is true because most of the batteries of these companies did passed the test to last longer.
As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell batteries passed the test.
hence we can also inferred from here that Energized batteries are more consistent.
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Finding missing angles
Answer:
95
Step-by-step explanation:
[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]
If x = -3 and y = 4 find the value of : x(3x + 4y)
Answer:
-21
Step-by-step explanation:
(−3)((3)(−3)+(4)(4))
=(−3)((3)(−3))+(−3)((4)(4))
=27−48
=−21
Find the area of the shape shown below.
Answer:
4
Step-by-step explanation:
k
Which of the following is a result of shifting a circle with equation
(x-3)2 + (x - 5)2 = 36
down 2 units?
A. The x-coordinate of the center of the circle decreases by 2.
B. The y-coordinate of the center of the circle decreases by 2.
C. Both the x- and y-coordinates of the center of the circle decrease
by 2.
D. Both the x- and y-coordinates of the center of the circle increase
by 2.
The y-coordinate of the center of the circle decreases by 2. The correct option is B.
What is shifting of the circle?Shifting a circle means moving it to a new coordinate plane location without changing its size or shape.
This can be accomplished by adding or subtracting a constant value from one or both of the circle's centre coordinates.
Shifting a circle is useful in geometry and algebraic problem solving because it allows us to investigate how a circle's position affects its relationship to other shapes and objects on the coordinate plane.
To shift the circle down 2 units, we need to subtract 2 from the y-coordinate of the center. The center of the circle has coordinates (3, 5), so shifting it down 2 units results in a new center at (3, 5 - 2) = (3, 3).
Therefore, the correct answer is B. The y-coordinate of the center of the circle decreases by 2.
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I really need help what's the answer??
Louis wants to carpet the rectangular floor. The floor has an area of 507 square feet. The width of the floor is 1/3 it's length. what is the length of the floor?
Width x Length
X = Length
[tex]\frac{1}{3}[/tex] = 507
[tex]x^{2}[/tex] = 1521 [tex]ft^{2}[/tex]
X = 39[tex]ft[/tex]
Which expression is equivalent to 3/5?
A
3 × 5
B
3 + 5
C
3 ÷ 5
D
3 − 5
A child pool is 3.8 feet wide 5.5 feet long and 1.2 fee deep, what is the volume of the pool?
Answer:
25.08
Step-by-step explanation:
Answer:
25.08 cubic feet
Step-by-step explanation:
v = l * w * h
v = 5.5 * 3.8 * 1.2
v = 25.08 cubic feet
Which numbers line correctly shows 4.5 - 2.5.? HELP FAST!!!
Answer:
Step-by-step explanation:
The answer would be the first option because it’s starting at 4.5, and if you subtracted 2.5, you would get the answer of 2, and that’s what the first option shows. Hope this helps!
Help !!!!!!!!!!!!!!!!!!!!!
Answer:
12 is the answer thanks for asking in
Helppppp meeee llsss
Answer:
I think the answer is 6.5
Please help 50 points to whoever answers, and brainliest to best answer!!!!
Answer:
x = 26/yz
Step-by-step explanation:
I need the answer fast
Answer:
84
Step-by-step explanation:
Answer:
it would either be 2 or 26
Step-by-step explanation:
pls mark braainlieszt
You own a gas station. You are supervising the filling of the station's cylindrical fuel tank. The fuel tank has a height of
36 feet and can hold 2,500 cubic yards of fuel.
Based on these specifications, what is the radius of the fuel tank, rounded to the nearest hundredth of a yard?
0 4.70
08.15
22.12
25.58
66.35
Answer:
8.15
Step-by-step explanation:
what is the probability of choosing a jack or an ace from a deck of cards type your anwser as a fraction
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
C. 78 cubic meters
D. 62 cubic meters
Answer:78
Step-by-step explanation:
Did it
If f(x) = 3-2x and g(x) = 1/x+5 , what is the value of (f/g) (8)
Answer: [tex]-\frac{104}{41}[/tex]
Step-by-step explanation:
[tex]f(8)=3-2(8)=-13\\\\g(8)=\frac{1}{8}+5=\frac{41}{8}\\\\\implies \left(\frac{f}{g} \right)(8)=\frac{-13}{41/8}=-\frac{104}{41}[/tex]
Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.
• 1 pint of white icing
4 1/4 teaspoons of blue food coloring
2 1/2 teaspoons of red food coloring.
explain two different ways for patricia to find total number of teaspoons of blue and red food coloring necessary to make 2 pints of purple icing
Answer:
Step-by-step explanation:
i’m thinking of the second way right now, but one way is doubling the recipe
2 pints of white icing
8 1/2 teaspoons of blue food coloring
5 teaspoons of red food coloring
i need help asap someone please help me asap
Slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
So taking 2 points (0,0) and (60,120)
we have slope = (120-0)/(60-0) = 120/60 = 2
general equation of linear graph is y=mx+b with m be the slope
so y=2x+b
Now to find b, just plug any point of the graph in, such as (0,0)
so we get something like 0=2(0) + b => b=0
So your equation is y=2x