Find the value of h.
Question 6 options:
A)
51.995
B)
28.321
C)
62.003
D)
95.476
Answers
Answer:
D. 95.476.
Step-by-step explanation:
sin 33 = 52/h
h = 52/sin 33
h = 95.476.
Answer:
Step-by-step explanation:
We will use right triangle trig and SohCahToa here to solve this. The side across from the angle marked as 33 degrees is given as 52; we are looking for h, the hypotenuse. The trig ratio that uses the the side across from the reference angle along with the hypotenuse is the sin ratio. Setting up the equation:
[tex]sin33=\frac{52}{h}[/tex]. Multiply both sides by h and then divide by sin(33) to get
[tex]h=\frac{52}{sin33}[/tex] so
h = 95.476, choice D.
Make sure your calculator is in degree mode and not radians when your angles are given in degrees
Related Questions
2(b+14) = -7 (1 - b) solve
Answers
Answer:
Step-by-step explanation:
2(b+14)=-7(1-b)
2b+28=-7+7b
28+7=7b-2b
35=5b
35/5=b
7=b
What is the probability of rolling a six-sided number cube and getting an odd number or a number less than 4?
Answers
Answer:
[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]S = \{1,2,3,4,5,6\}[/tex] --- roll of a die
[tex]n(S) = 6[/tex] ---- the sample size
[tex]Odd = \{1,3,5\}[/tex]
[tex]<4 = \{1,2,3\}[/tex]
Required
[tex]Pr(Odd\ or\ <4)[/tex]
First, list out the event of odd or <4
[tex]Odd\ or\ <4 = \{1,2,3,5\}[/tex]
So, the probability is:
[tex]Pr(Odd\ or\ <4) = \frac{n(Odd\ or\ <4)}{n(S)}[/tex]
[tex]Pr(Odd\ or\ <4) = \frac{4}{6}[/tex]
Simplify
[tex]Pr(Odd\ or\ <4) = \frac{2}{3}[/tex]
please help asap!!!!
Answers
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
Every 10th student was chosen from the cafeteria line to answer a question about pets. This is an example of:
A)Simple Random Sample
b)Convenience Sample
C)Systematic Random Sample
D)Voluntary Response Sample
Answers
Answer:
C)Systematic Random Sample
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this case:
Every kth element(in this exercise 10th) is systematic sample. So the answer is given by option c.
okay so a circle has half a line of 11 in. , what's the circumference and area?? i'm not good at math and so confused
Answers
Answer:
C = 69.12 in.
A = 380.13 in.²
Step-by-step explanation:
Circumference of a circle is the length around the circle.
Circumference, C = 2πr
where,
Radius (r) = 11 in. (Given)
To find the circumference, substitute r = 11 into the circumference formula
C = 2*π*11
Input this into your calculator, you would get:
C = 69.1150384
C = 69.12 in. (Approximated to nearest hundredth)
Area = πr²
Plug in the value of r
A = π*11²
A = 380.132711
A = 380.13 in.² (to nearest hundredth)
Select the correct answer from each drop-down menu.
A quadrilateral has vertices A{11, -7), 89,-4), (111, -1), and D13,-4).
Quadrilateral ABCD is a
If the vertex c (11, -1) were shifted to the point c(11,1) quadrilateral Abcd would be a
Answers
Answer:
A non-equilateral rhombus.
Step-by-step explanation:
We can solve this graphically.
We start with square:
ABCD
with:
A = (11, - 7)
B = (9, - 4)
C = (11, - 1)
D = (13, - 4)
Only with the vertices, we can see that ABCD is equilateral, as the length of each side is:
AB = √( (11 - 9)^2 + (-7 -(-4))^2) = √( (2)^2 + (3)^2) = √(4 + 9) = √13
BC = √( (11 - 9)^2 + (-1 -(-4))^2) = √13
CD = √( (11 - 13)^2 + (-1 -(-4))^2) = √13
DA = √( (11 - 13)^2 + (-7 -(-4))^2) = √13
And we change C by C' = (11, 1)
In the image you can see the 5 points and the figure that they make:
The figure ABCD is a rhombus, and ABC'D is also a rhombus, the only difference between the figures is that ABCD is equilateral while ABC'D is not equilateral.
Solve
8 (d+2) – 36 = 2 + 6(1 – d)
Answers
Answer:
d=2
Step-by-step explanation:
8(d+2)-36=2+6(1-d)
Expand the equation
8d+16-36=2+6-6d
Put like terms together
8d+6d = 2+6-16+36
14d= 28
Divide 14 on both sides to get the value of d
[tex] \frac{14d}{14} = \frac{28}{14} [/tex]
d=2
Find an equation for the perpendicular bisector of the line segment whose endpoints
(5, -3) and (-7, -7).
are
Answers
Answer:
[tex]y=-3x-8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Midpoint: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where the endpoints are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 3/4 and -4/3, etc.)1) Determine the midpoint of the line segment
When two lines bisect each other, they intersect at the middle of each line, or the midpoint.
[tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex](\frac{5+(-7)}{2} ,\frac{-3+(-7)}{2} )\\(\frac{-2}{2} ,\frac{-10}{2} )\\(-1,-5)[/tex]
Therefore, the midpoint of the line segment is (-1,-5).
2) Determine the slope of the line segment
Recall that the slopes of perpendicular lines are negative reciprocals. Doing this will help us determine the slope of the perpendicular bisector.
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the endpoints (5, -3) and (-7, -7)
[tex]\frac{-7-(-3)}{-7-5}\\\frac{-7+3}{-7-5}\\\frac{-4}{-12}\\\frac{1}{3}[/tex]
Therefore, the slope of the line segment is [tex]\frac{1}{3}[/tex]. The negative reciprocal of [tex]\frac{1}{3}[/tex] is -3, so the slope of the perpendicular is -3. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
3) Determine the y-intercept of the perpendicular bisector (b)
[tex]y=-3x+b[/tex]
Recall that the midpoint of the line segment is is (-1,-5), and that the perpendicular bisector passes through this point. Plug this point into [tex]y=-3x+b[/tex] and solve for b:
[tex]-5=-3(-1)+b\\-5=3+b[/tex]
Subtract 3 from both sides
[tex]-5-3=3+b-3\\-8=b[/tex]
Therefore, the y-intercept of the line is -8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x-8[/tex]
I hope this helps!
GUYS HELP PLS
You have 100ml of a solution that has a strength of 10mg/50ml.
This is diluted with a further 100ml of water.
How strong is the solution now per 50ml?
Answers
what are prime factors i cant understand
Answers
PLEASE HELP ASAP
What is the approximate value of sin e when cose = -0.8 is
A.-1.67
B.-0.6
C.0.6
D.1.67
Answers
math Question Help to solve Multiple Choice
Answers
Answer:
B. 49
Step-by-step explanation:
f(7) = 7² = 49
_______
Please help and if you can explain it please
Answers
Answer:
1) 1/3 2a)2/5 2b)1/2 2c)9/20
Step-by-step explanation:
1) A fair die has 6 sides (1,2,3,4,5,6) so there are 2 sides that are greater than 4. Probability is chance of occurance/total chances so 2/6 which simplifies to 1/3
2) The set is (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19, 20) The prime numbers in that set are (2,3,5,7,11,13,17,19)
a)So the probability that a prime number is picked is 8/20 which simplifies to 2/5
b) The odd numbers are (1,3,5,7,9,11,13,15,17,19) so probability of odd is 10/20 which simplifies to 1/2
c) The single digit numbers are (1,2,3,4,5,6,7,8,9) so the probability is 9/20
Park View Apartments has 2 buildings Each building has 3 floors Each floor has
16 windows What is the total number of windows in the Park View Apartment
buildings?
Answers
Answer:
96
Step-by-step explanation:
I need the answer. Please help.
Answers
===========================================================
Work Shown:
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(B) = AC/AB
tan(61) = AC/1
tan(61) = AC
AC = tan(61)
AC = 1.80404775527142
AC = 1.8
The river is about 1.8 miles wide between points A and C.
Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1.
if you were to roll a dice one time what is the odds of rolling a number less than three?
Answers
Answer:
1/3
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. On a fair die, the number are 1 to 6 while 1 and 2 are the only numbers less than 3.
Hence the odds of getting a number is the ratio of 6 to 6 while the odds of getting a number lower than 3 will be
= 2/6
= 1/3 (in the lowest term)
This is because the odd of getting 1 is 1/6 and the odd of hetting 2 is 1/6 9 recall that both numbers appear once on a die). Hence the odd of getting 1 or 2 will be
= 1/6 + 1/6
= 2/6
=1/3
CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44 Click here for the Excel Data File (a) Find the mean, midrange, geometric mean, and 24 percent trimmed mean. (Round your answers to 2 decimal places.)
Answers
Answer:
Mean = 31.22
Midrange = 28.50
Geometric mean = 28.74
Trimmed mean = 31.56
Step-by-step explanation:
Given the data :
39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44
Ordered data :
9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48
The mean, xbar :
Xbar = Σx / n = 999 / 32 = 31.22
The midrange : (maximum - minimum) / 2
Midrange = (48 + 9) / 2 = 57 / 2 = 28.5
Geometric mean :
(x1*x2*.. xn)^1/n
Geometric mean = (x1*x2*.. xn)^1/32 = 28.74
24% trimmed mean :
24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.
Data left :
24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42
Σx / n = 505 / 16 = 31.5625
Trimmed mean = 31.56
A bag of marbles only has red and blue marbles. The bag has a ratio of blue marbles to red marbles of 3:5, and there are 24 blue marbles in the bag. What is the total number of marbles in the bag?
Answers
Answer:
64 marbles
Step-by-step explanation:
24 ÷ 3 = 88 × 5 = 40 (40 total red marbles)40 + 24 = 64The solution is, 24 is the total number of marbles in the bag.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
A bag of marbles only has red and blue marbles.
The bag has a ratio of blue marbles to red marbles of 3:5,
and there are 24 blue marbles in the bag.
we have to find the total number of marbles in the bag.
let, there are x red marbles .
we have,
blue marbles : red marbles = 3:5
so, we get,
blue marbles : red marbles = 24 : x
i.e. 3:5 = 24 : x
so, x = 24 * 5 / 3
or, x = 8*5
or, x = 40
so, there are 24 red marbles .
so, total = 24 + 40 = 64
Hence, The solution is, 24 is the total number of marbles in the bag.
To learn more on ratio click:
brainly.com/question/13419413
#SPJ2
Adil ran 5 rounds of a square ground of side 70 m. Find the total distance
he ran.
Answer as soon as possible my answer is 350
Answers
Answer:
Step-by-step explanation:
Calculate perimeter first
70 x 4 = 280
1 lap is 280m
Adil ran 5 laps so:
5 x 280m = 1400m
Uhm does anyone know what 8x is as an coefficient?
Answers
Answer:
yes 8x is a coefficient
Step-by-step explanation:
because I know but if I'm wrong than sry
answer this please .
Answers
Answer:
[tex] \frac{3}{5}x + 2 = \frac{2}{3} x[/tex]
[tex]2 = \frac{2}{3} x - \frac{3}{5} x[/tex]
[tex]2 = \frac{10}{15} x - \frac{9}{15} x[/tex]
[tex]2 = \frac{1}{15} x[/tex]
[tex]x = 2 \times 15[/tex]
[tex]x = 30[/tex]
Your answer is x=30
If you are helped with my answer pls tag me brianliest I really want it....... Plzz
THANK YOU......
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answers
Answer:
Step-by-step explanation:
cosine W=9/41
Answer:
cos W = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cos W = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{WY}{XW}[/tex] = [tex]\frac{9}{41}[/tex]
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The hypotheses are:
Answers
Answer:
The null hypothesis is [tex]H_0: \mu = 16.1[/tex].
The alternate hypothesis is [tex]H_1: \mu < 16.1[/tex]
Step-by-step explanation:
A manufacturer claims that the mean amount of juice in its bottles is 16.1 ounces.
This means that at the null hypothesis, we test if the mean amount of juice is of 16.1, as claimed, that is:
[tex]H_0: \mu = 16.1[/tex]
A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.
This means that at the alternate hypothesis, we test if the mean amount of juice is less than the claimed mean of 16.1 ounces. So:
[tex]H_1: \mu < 16.1[/tex]
During a school event Mario is selling pizza at a stand for $ 2.50 per slice. How many slices of pizza would Mario have to sell to earn $195? Explain your reasoning.
Answers
Answer:
78 slices
Step-by-step explanation:
195/2.5=78
Answer:
78
Step-by-step explanation:
195/2.5=78
he will need to sell 78 pizzas in order to get $195
Carlos is making a model pyramid for a history project. A net of his pyramid is
shown. What is the lateral surface area of the pyramid?
Answers
9514 1404 393
Answer:
60 cm²
Step-by-step explanation:
The lateral surface area is the area of the four blue triangles. Each one has an area of ...
A = 1/2bh
A = 1/2(6 cm)(5 cm) = 15 cm²
The lateral surface area is 4 times the area of one triangle, so is ...
LA = 4(15 cm²) = 60 cm²
Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
hypotenuse to the nearest tenth of a meter.
Draw a picture
Solve the problem. Show your work!
Answers
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
Select the correct difference.
-3z^7- (-5z^7)
Answers
24% of what is 25? Round to the nearest tenth.
Answers
you convert it into a decimal to get your answer !! hope this helps
What the correct answer
Answers
Answer:
I probably think it's A..
Find the value of x in the figure.
A. 18
B. 33
C. 35
D. 41
Answers
Answer:
D 41
Step-by-step explanation:
remember, the sum of all angles in a triangle is always 180 degrees.
so, we have already 35 for one angle, that leaves 145 for the other two.
x + 2 + 2x + 20 = 145
3x + 22 = 145
3x = 123
x = 41