Answer:
The height of the building is: 86.61m
Step-by-step explanation:
Given
The question is illustrated with the attached image
Required
Find h
To solve for h, we apply tangent formula i.e.
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
This gives:
[tex]\tan(60) = \frac{h}{50}[/tex]
Make h the subject
[tex]h = 50 * \tan(60)[/tex]
[tex]\tan(60) = \sqrt 3[/tex]
So, we have:
[tex]h = 50 * \sqrt 3[/tex]
[tex]h = 50 * 1.7321[/tex]
[tex]h = 86.61m[/tex]
Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Parallel to the line ; containing the point (0,0)
Answer:
y = 7x
Step-by-step explanation:
Complete question:
Find an equation for the line with the given properties. Parallel to the line 7x - y = -7; containing the point (0,0)
The equation of a line in point-slope form is expressed as;
y - y0 = m(x-x0)
(x0, y0) = (0,0)
Given the equation of the line as 7x - y = -7;
Rewrite and get the slope
-y = -7x - 7
y = 7x+7
Get the slope
mx = 7x
m = 7
Substitute into the equation
y - 0 = 7(x - 0)
y = 7x
Hence the required equation is y = 7x
the scale shows the weight of 12 peaches if each peach weighs exactly the same how much do 5 peaches weigh
Answer:
I need more information...
Step-by-step explanation:
Which divisor of x3 + 3x2 - 16x - 48 has a remainder of zero?
A. X + 2
B. X-4
C. x-3
D. x + 8
I need this one ASAP
===========================================================
Explanation:
We'll use the remainder theorem.
This theorem says that if you divide p(x) over (x-k), then the remainder is p(k).
We have p(x) = x^3 + 3x^2 - 16x - 48 and the denominator is one of the four choices A through D.
Let's go through each of them until we find the answer.
-----------------
For choice A, we have x+2 which is the same as x-(-2). It matches with x-k to show that k = -2.
Plug k = -2 into p(x) to get
p(x) = x^3 + 3x^2 - 16x - 48
p(-2) = (-2)^3 + 3(-2)^2 - 16(-2) - 48
p(-2) = -12
The remainder is -12, which is not 0 like we're after. We can cross A off the list.
-----------------
We'll follow the same ideas for choices B through D
For choice B, we plug in k = 4 because x-4 matches with x-k to show that k = 4.
p(x) = x^3 + 3x^2 - 16x - 48
p(4) = (4)^3 + 3(4)^2 - 16(4) - 48
p(4) = 0
We end up with a remainder of 0, so we can stop here. Dividing (x^3+3x^2-16x-48) all over (x-4) leads to some quotient and a remainder of 0.
Put another way: (x-4) is a factor of x^3+3x^2-16x-48
-----------------
Side notes:
x^3+3x^2-16x-48 factors to (x-4)(x+4)(x+3)If you try out choice C, the remainder is -42The remainder for choice D is -240 (you'll use k = -8).what is four hundred sixteen and eighty-two hundreths writen in expanded form
it's 11682 hope this helps
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
The equation for the trend line is y=2x-10
Michelle purchases several bottles of water. Before tax is added, the total cost is $3.60 and the cost of each bottle is $1.20. How many bottles did she buy?
Answer:
3 bottles
Step-by-step explanation:
1 bottle -- $1.20
x bottles -- 3.60 (total cost)
Therefore, number of bottles -- (3.60/1.20) = 3
She bought 3 bottles.
Thenks and maek me brainliest :))
HELP HELP HELP HELP PLEASE HELP ME
Answer: C is the answer bc it is asking what is more grader
Step-by-step explanation:
Fifteen is the quotient of thirty-two and a number
Degree and Radian Measures
Convert the angle to radians. Leave as a multiple of /pi (π)
390°
a. 13/pi/5
b. 13/pi/12
c. 13/pi/3
d. 13/pi/6
Please select the best answer from the choices provided
Answer:
D. 13/pi/6
Step-by-step explanation:
I calculated it logically
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Write an
explicit formula for an, the n' term of the sequence 35, 42, 49, ....
TiMED PLEASE HELP
Answer:
The nth term is 35+ 7(n-1) or can be written 28 + 7n
Step-by-step explanation:
This is an arithmetic sequence, where each term equals the previous term, with a constant value added.
T1 = 35
T2 = 42 = T1 + 7 = 35 + 7
T3 = 49 = T2+ 7 = 35 + 7 + 7 = 35 + 2x7
…
The nth term is equal to 35 + 7X(n-1)
1) Jim took out a loan for $500. The rate is 8%. How much does Jim owe in interest if he pays it back in 4 1/2 years?
2) What is the balance that Jim owes for his loan?
Answer:
ito yung link o /fhytuewfxnopjbfw/ yan na po
(sin30°+cos30°)(sin30°-cos30°)
helppppppp meeeeeeeee fastttttttttttt plssssssssss
Hello! The Answer is A and B
Hope this helps, Have a wonderful day!
Tysm for brainly!
PLEASE HELP!!!! WILL GIVE BRAINLIEST!! 30 POINTS!!
Write a matrix that correctly displays the total number of students participating in these activities for the two high schools?
Question 4 Are there any outliers in the data sets? If there are outliers, do they lie at the lower end or at the higher end of the data sets?
(data sets are provided below!)
Walden’s data set: 2, 2, 2, 3, 3, 3, 3, 4, 4, 4
Drake’s data set: 3, 3, 4, 4, 4, 4, 5, 6, 7, 9
*PLS HELP, THIS IS PASS DUE*
Answer:
The center of Walden’s data, 3, is less than the center of Drake’s data set, 6.
Step-by-step explanation:
Answer:
Walden’s data set doesn’t have any outliers. Drake’s data has an outlier with the value 9, which is at the higher end of the distribution.
Step-by-step explanation:
Hope this helped!
The original price of a nightstand is $48. Which coupon is a better deal?
answer choice
25% off any nightstand
50%off any thing
Answer:
50% off
Step-by-step explanation:
The coupons are based on the percentage off. In this case, it doesn’t matter that one coupon is for nightstands. Would you rather save 50% or 25%? The answer is 50%.
I need help with this pls
Answer: 2.98
Step-by-step explanation:
jose has 3 genres of songs on his Mp3 player. Half of the songs are country songs. A fourth of the songs are rock. The other 10 songs are jazz. If his MP3 player is playing songs at random and on repeat, what is the probability that it will play a rock song followed by a country song
Answer:
because he has the rock next to the country song
Does anyone mind helping?
Answer:
its a and c
Step-by-step explanation:
bc im smart hah its a and c
Answer:
Lines A and C are parallel
Step-by-step explanation:
2) How many 1/3 liter servings are in 4/5 liter of Gatorade? *
What is the approximate area of the shaded portion of the diagram? (Use 3.14 as an estimate for pi.)
Answer:
218
Step-by-step explanation:
first find the area of the circle-
[tex]A=\pi r^{2} \\A=\pi 10^{2} \\A=100\pi \\A=314[/tex]
to find the area of the triangle, we need the base and the height. The base we know is 16, since we don't know the height yet, use the Pythagorean theorem to find the height. One leg is 16 the hypotenuse is 20 (2* the radius).
[tex]a^{2} +b^{2} =c^{2} \\a^{2} +16^{2} =20^{2} \\a^{2} +256=400\\a^{2} =144\\a=12[/tex]
Now I know the height is 12. Find the area of the triangle
[tex]A=\frac{1}{2} bh\\A=\frac{1}{2} (16)(20)\\A=96[/tex]
subtract the area of the triangle from the area of the circle
314-96=218
Your neighbor agreed to trudge through the snow to buy snow shovels for 10 families on your street! The store owner gave him a discount of $2 for each snow shovel, but it still cost your neighbor $85. Your family surprised two of your neighbors and paid for their shovels along with their own. How much does your family owe your neighbor for the three shovels?
Answer:
$17
Step-by-step explanation:
We are assuming that snow shovels for 10 families means 10 shovel in total. If the manager is offering $2 discount per shovel, and there are ten shovels, then that is a 20 dollar discount. 85, the cost after discount, plus 20 is 105. 105/10=10.5. Your family is offering two pay for two shovels, so the total for you would come to $21, but there is the $2 discount, so subtract 4 dollars, and you have $17.
Sylvia bought 8 bags of stickers. Each bag costs $2.79 how much did Sylvia spend
Answer:
Sylvia's total cost=$2.79*8
=$22.32
Step-by-step explanation:
Expresa la razón en su forma más simple:
20 a 105
O 20:11
5:1
04:21
O 1:2 procedimiento
Answer:
4:21
Step-by-step explanation:
20:105
dividir ambos por 5
4:21
I really need help with this.
Answer:
135
Step-by-step explanation:
All the angles that would correspond with the angle measure 8 (135°) would be m<5, m<2, m<1.
hope this helped!
An article presents a study of the failure pressures of roof panels. A sample of 15 panels constructed with 8-inch nail spacing on the intermediate framing members had a mean failure pressure of 8.48 kPa with a standard deviation of 0.96 kPa. A sample of 15 panels constructed with 6-inch nail spacing on the intermediate framing members had a mean failure pressure of 9.93 kPa with a standard deviation of 1.02 kPa. Can you conclude that 6-inch spacing provides a higher mean failure pressure
Answer:
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject [tex]H_0\ at\ 5%[/tex] level of significance
Step-by-step explanation:
From the question we are told that:
Sample size 1 [tex]n_1=15[/tex]
Spacing 1 [tex]s_1=8[/tex]
Mean 1 [tex]\=x_1=8.48[/tex]
Standard deviation 1 [tex]\sigma_1=0.96 kPa[/tex]
Sample size 2 [tex]n_2=16[/tex]
Spacing 2 [tex]s_2=6[/tex]
Mean 1 [tex]\=x_1=9.93[/tex]
Standard deviation 1[tex]\sigma_1=1.02 kPa[/tex]
Generally the hypothesis is mathematically given as
Null [tex]H_0:\mu_1-\mu_2[/tex]
Alternative [tex]H_a:\mu_1\mu_2[/tex]
Generally the equation for pooled estimate is mathematically given by
[tex]S=\sqrt{\frac{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2}{n_1+n_2-2} }[/tex]
Therefore
[tex]S=\sqrt{\frac{(15-1)0.96^2+(16-1)1.02^2}{15+15-2} }[/tex]
[tex]S=0.9905[/tex]
Generally the equation for test statistics is mathematically given by
[tex]t=\frac{\=x_1+\=x_2}{S\sqrt{\frac{1}{n _1}+\frac{1}{n_2}}}[/tex]
[tex]t=\frac{\=8.48-9.93}{0.9905\sqrt{\frac{1}{15}+\frac{1}{15}}}[/tex]
[tex]t=-4.00091[/tex]
Therefore From table
[tex]P value=P(t_{15+15-2}=4.00091)[/tex]
[tex]P value=0.00041918[/tex]
[tex]P<0.0005[/tex]
Therefore
There is sufficient evidence to conclude that six inches spacing has a higher mean failure pressure than 8 inches
Reject [tex]H_0\ at\ 5%[/tex] level of significance
Can someone please help me with this! This is due today and I'm having a hard time! Please help me!
Answer:
a) Daniel has 55
b) Daniel has 105
c) Daniel has 5z
d) 115 divided by 5, which is 23!!!
please answer 1-7 I BEG YOU I WILL MARK BRAINLIEST
Plsssssssssss help. quick
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