Answer:
62 degrees.
Step-by-step explanation:
What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.
But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)
ArctanФ = Adj/opposite
ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.
The angle of depression from Coach Jump to the quarterback is 27.6°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
In this diagram,
C represents Coach Jump,
B represents the base of the platform,
θ represents the angle of depression from Coach Jump to the quarterback.
Now,
We want to find θ.
We can use the tangent function,
So,
tan Ф = 12/23
Ф = [tex]tan^{-1}[/tex] 12/23
Ф = 27.55°.
Thus,
The angle of depression from Coach Jump to the quarterback is 27.6°.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
Probability is the chance that some event will occur true or false
Answer:
true
Step-by-step explanation:
it is a possibility something will occur
Find the unit rate for 3.99 for 12
Answer:
So the answer is $3.99 / 12 = $0.3325 per can = 33.25 ¢ per can.
Answer:
33.25
Step-by-step explanation:
Find the surface area of the pyramid. The side lengths of the base are equal.
Thank you in advance
Answer:
195.6
Step-by-step explanation:
area of base= 1/2 * 8 * 6.9 = 27.6
area of lateral face= 1/2 * 8 * 14 = 56
total surface area = 27.6 + 56 + 56 + 56 = 195.6
Which ordered pair (x, y) can be added to the table so that y is still a function of x?
х
-3
0
-1
10
у
2
8
4
12
OA. (-3,-2)
OB. (0,0)
OC. (3, 2)
OD. (10, 16)
Answer:
x=23
Step-by-step explanation:
Using the picture solve for the answer
Answer:
i love you :)
Step-by-step explanation:
B only
cos B = a/c
Solve for x : 5= 2+3x. Single choice. answer choices:
x=7/3
x=1
x=-1
Answer:
answer is x=1
Step-by-step explanation:
][[[[[[[[[
Simple interest to find the ending balance $460 at 13% for
2
years
Answer:
$568.16
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 13%/100 = 0.13 per year,
then, solving our equation
I = 416 × 0.13 × 2 = 108.16
I = $ 108.16
The simple interest accumulated
on a principal of $ 416.00
at a rate of 13% per year
for 2 years is $ 108.16.
Please help I need it
A doggie daycare center requires that there be 4 staff members for every 12 dogs.
Write an equation that shows the relationship between n, the number of supervisors, and d, the number of dogs.
Part 2 At the doggie daycare center from before, how many employees would need to be staffed if they had scheduled 19 dogs. Justify your answer by writing a few sentences explaining your thought process.
Answer:
Step-by-step explanation: Turn this into an equation for every 3 dogs there is 1 staff...
Part 2 around 57 staff bec for every 3 dog there is 1 staff so 19* 1 = 19
2. Scotts American Bulldog males have weights that are normally distributed with
a mean of 85 pounds and a standard deviation of 14.6 pounds. Female American
Bulldog have weights that are normally distributed with a mean of 69 pounds and
a standard deviation of 8.8 pounds. We take a sample of 9 male and 8 female
American bulldogs. What is the probability that the difference in mean weight of
the samples (Male - Female) is greater than fifteen pounds? (Please attach your
work).
Answer:
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.
This means that [tex]\mu = 85, \sigma = 14.6[/tex]
Sample of 9 male bulldogs:
By the Central Limit Theorem:
[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]
Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.
This means that [tex]\mu = 69, \sigma = 8.8[/tex]
Sample of 8 female bulldogs:
By the Central Limit Theorem:
[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]
Subtraction of Male by Female:
[tex]\mu_S = \mu_M - \mu_F = 85 - 69 = 16[/tex]
[tex]s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762[/tex]
What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?
This is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
With our distribution(subtraction)
[tex]Z = \frac{X - \mu_S}{s_S}[/tex]
[tex]Z = \frac{15-16}{5.7762}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a pvalue of 0.4325
1 - 0.4325 = 0.5675
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
what is the solution to the equation. first to get it is brainlyist
Answer:
Third from the top, a=
[tex]3 \frac{1}{3} [/tex]
Answer:
a = 3 1/3
Step-by-step explanation:
We first separate the whole numbers from the fractions
So first we do
5 + 3 = 8
Then we add the fractions together
1/3 + 2/3 = 1
Then, we add the sum of the whole numbers and of the fractions
8 + 1 = 9
Thus, a = 3 1/3
PLEASE HELP I WILL MARK BRAINLIST BUT DONT ANSWER FOR THE POINT PLEASE I AM DESPERATE
Answer:
478.32
Step-by-step explanation:
1) the basic formula is:
[tex]A=A_{base}+A_{sidesurface}.[/tex]
2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);
[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]
3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);
[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]
4) finally, the required Area:
[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]
Plot the image of triangle mAABC under a reflection across the y-axis.
Answer:
3
Step-by-step explanation:
3
Answer:
move the bottom of the green triangle back to -4
Find the absolute value of each of the following numbers.
2.54
17.65
14.2
90.44
Can y’all help me on question 30?!
Answer:
If they moved 10 yards that would be 30 feet.
B would be your answer
Step-by-step explanation:
There are 3 feet in 1 yard. Multiply the length value by 3.
3 x 10 = 30
( credits to codyprice )
what is the slope of negative 2y plus 6 equals 4x
Answer:
2
Step-by-step explanation:
The first step is to convert the equation to slope-intercept form (y = mx+b).
2y+6 = 4x
2y+6-6 = 4x-6
2y = 4x-6
2y/2 = 4x/2-6/2
y = 2x-3
In slope-intercept form (y = mx+b), m is the slope. 2 is m in the equation, so therefore it is the slope.
What is 4^3 in exponential form
Step-by-step explanation:
4^3=4×4×4=64 is answer
Answer:
[tex]4^{3}[/tex]
Step-by-step explanation:
Its in exponential form already the exponent is 3.
4 × 4 × 4 (standard form)
And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64
Hope this helped!
Have a supercalifragilisticexpialidocious day!
using suitable identity find 231^222-131^2
Given:
Consider the expression is
[tex]231^2-131^2[/tex]
To find:
The value of given expression using a suitable identity.
Solution:
We have,
[tex]231^2-131^2[/tex]
Using the identity [tex]a^2-b^2=(a-b)(a+b)[/tex], we get
[tex]231^2-131^2=(231-131)(231+131)[/tex]
[tex]231^2-131^2=(100)(362)[/tex]
[tex]231^2-131^2=36200[/tex]
Therefore, the value of the given expression is [tex]231^2-131^2=36200[/tex].
I NEED HELP HURRRRRRY
Answer:
D
Step-by-step explanation:
P=6 and Q=2
-3(6/2)=-9
3(-6/2)=-9
3*6/-2=-9
-6/-3*2=1
One morning, the temperature outside was -3°F. By 5:00PM the temperature had decreased 15°F. What was the temperature at 5:00 PM?
a. -18°F b. -12°F C. 12°F d. 18°F
Answer:
A.
Step-by-step explanation:
If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.
-3 - 15 = -18
Correct me if I end up being wrong.
A tree measured 12 1/2 feet tall. Over the next 5 1/2 years it grew to be 51 feet tall. During the 5 1/2 years, what was the average yearly growth rate of the tree?
Answer:
7 feet
Step-by-step explanation:
Let's find how many feet did the tree gain during 5 1/2 years:
51 - 12.5 = 38.5
Now devide this number by 5 1/2 to find average length tree gained yearly:
38,5 / 5.5 = 7
A candy-wrapping robot can wrap 435 pieces of candy in 5 minutes. Calculate the unit rate. How many pieces of candy can the robot wrap in 1 minute?
Answer:
Step-by-step explanation:
435/5=87
87 candy per min
can someone help me i don't understand ;-
Answer: I think the answer is 150 but i might be wrong
Step-by-step explanation:
Question number 8 is in the picture below.
Answer:
7 / 10 < 11 / 12
Step-by-step explanation:
cross multiply
what is the product of 7/8 x 4/7
Answer:
1/2
Step-by-step explanation:
7x4= 28
8x7= 56
simplify: 28/56=1/2
Answer: 7/8 x 4/21
(7x4)/(8x21)=28/168
Let's divide the top and bottom by 7...
(28/7)/(168/7)=4/24
Let's divide the top and bottom by 4...
1/6
Step-by-step explanation:
hope this helps have a great night❤️❤️❤️❤️
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
Joseph found the bike he wanted in the clearance section at walmart. It has the price of $88.99, but is in 30% off section. How much will his total be if the sales tax is 9.7%?
Answer:
[tex]Total = \$68.34[/tex]
Step-by-step explanation:
Given
[tex]Price = \$88.99[/tex]
[tex]Discount = 30\%[/tex]
[tex]Sales\ Tax = 9.7\%[/tex]
Required
Determine the payable amount.
First, calculate the amount after discount
[tex]Amount = Price - Price * Discount[/tex]
[tex]Amount = Price (1 - PDiscount)[/tex]
[tex]Amount = \$88.99(1 - 30\%)[/tex]
[tex]Amount = \$88.99(70\%)[/tex]
[tex]Amount = \$62.293[/tex]
The total after sales tax is:
[tex]Total = Amount (1 + Sales\ Tax)[/tex]
[tex]Total = \$62.293 (1 + 9.7\%)[/tex]
[tex]Total = \$62.293 (1 + 0.097)[/tex]
[tex]Total = \$62.293 (1.097)[/tex]
[tex]Total = \$68.335421[/tex]
[tex]Total = \$68.34[/tex]
$68.34 will be paid
If want to spend EXACTLY all $40. This means no
money is left. How many pairs of socks ($4) and
gloves ($5) do I have to buy?
Answer:
You would buy 4 pairs of socks and 4 pairs of gloves.
Step-by-step explanation:
5x4= 20
4x5=20
20+20=40
what is w divided by 6=7
Answer:
42
Step-by-step explanation:
w/6 = 7
multiply both sides by 6
w = 42
can someone find what x please?
5x + 14 = 614