Answer:
28.15 cm²
Step-by-step explanation:
In ΔNOP, n = 7.4 cm, o = 8.7 cm and ∠P=61°. Find the area of ΔNOP, to the nearest 10th of a square centimeter
For the above question, we are given 2 sides and an angle.
The formula to find the area of ΔNOP
1/2 × a × b × sin θ
From the above question:
θ = 61°
a = 7.4 cm
b = 8.7 cm
Hence,
1/2 × 7.4 × 8.7 × sin 61
= 28.154008373 cm²
Approximately to the nearest tenth = 28.15 cm²
You want to create a scale model for a building that will be 120feet tall and 40 feet wide. If you make the model 6 feet tall, how wide should it be?
Given:
Length of the building = 120 feet
Width of the building = 40 feet
Length of the model = 6 feet
To find:
Width of the model.
Solution:
The scale model similar to the original figure and the corresponding sides of the similar figures are proportional.
Let x be the width of the building.
[tex]\dfrac{\text{Length of the building}}{\text{Length of the model}}=\dfrac{\text{Width of the building}}{\text{Width of the model}}[/tex]
[tex]\dfrac{120}{6}=\dfrac{40}{x}[/tex]
[tex]20=\dfrac{40}{x}[/tex]
[tex]x=\dfrac{40}{20}[/tex]
[tex]x=2[/tex]
Therefore, the width of the model is 2 feet.
What will be his EXTRA cost?
Answer:
??? what do you mean?
Step-by-step explanation:
Answer correctly with NO FILE (Or links) to get brainliest.
To secure a telephone pole, a steel cable will be attached to a ring on the pole 12 feet above the ground. If the cable is 15 feet long, how far from the base of the pole will the other end of the cable be anchored?
Answer:
9 ft
Step-by-step explanation:
Pythagorean theorem:
x = the square root of 15 square minus 12 square
x= square root of 225-144
x= square root of 81
X = 9
Type the correct answer in each box. Use numerals instead of words.
Bethany collected 200 survey responses regarding recycling behaviors in her city of those responses, 174 people responded that they
participate in the city's recycling program.
Use this information to complete the statement. Round all answers to the nearest hundredth.
, which means that
% of the people surveyed do not participate in the city's
The approximate sample proportion is
recycling program.
Answer:
Step-by-step explanation:
Answer:
1st one 0.87
2nd one 13
PLATO
Step-by-step explanation:
Can you help me with this like explain how and stuff, Please?
Answer:
Step-by-step explanation:I belive that the 7x+22 needs to equal 50 because they opposite angles. Hope this helped a little and can get you started
Answer:
22.57
Step-by-step explanation:
7x+ 22 =180 180 because its a supplimentary angle -22 from 22 and 180 22 and -22 cancel out the 180 - 22 = 158
then you have 7x = 158 divide both numbers by 7 to isolate x then divide 158 by 7 = 22.57
Pls HELP!! it is factoring PST answer with explanation please!!!!!! 30 points!
Step-by-step explanation:
these are the answers of your questions
Answer #1:
x ( 3 x − 4 ) ²
Answer #2( [tex]\frac{x}{2}[/tex] − 5 ) ²This is an angle relationship problem
Answer:
7
Step-by-step explanation:
8c-5+6c-3=90
14c=90+5+3
14c=98
c=7
Kensington charges $20 per hour, h, teaching music lessons. Last year, Kensington earned $37,705, including tips, t. Given this information, which of the following equations can be used
the amount Kensington made in tips last year?
Of=37705 + 20h
O t = 37705 - 20h
Ot=37705h + 20
O = 37705h - 20
Answer:B-t=37705-20h
Step-by-step explanation:The answer is B because you need to get rid of all of the money she made working so you subtract 20 by how ever many hours she has worked
Answer:
Second option : t = 37705 - 20h
Step-by-step explanation:
I took the test
You're a quality control manager in a fruit juice company. You want to choose
a sample size for a quality check on the cans used to package the juice. From
a batch of 30,000 cans, you want a sample size that will allow you to closely
approximate the population parameters for the entire batch. Which sample
size will most likely produce the least variability among different samples?
Answer:
246.
Step-by-step explanation:
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
b) The minimum sample size to achieve this is 246.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find the margin of error M as such
In which is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,
The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22
The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.
a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78
(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)
We need a sample size of n
n is found when
Then
Rounding up
The minimum sample size to achieve this is 246.
What are the zeros of f(0) ** - 202
OAX-5 and x4
BN-10 and x = 2
OCX-2 and x = 10
DX-4 and 5
Answer:
b
Step-by-step explanation:
!!!! HELP PLEASE !!!!!
Answer:
C) x² + 2x - 6
Step-by-step explanation:
add 2x +1 to x² - 7
-3x + 2 = -13 what is x?
Answer:
x = 5
Step-by-step explanation:
have a nice day
brainliest?
which table shows the relationship y=k/x where k is a real number
Answer:
the answer is 1/5 because y/x gives you k
Step-by-step explanation:
What is the perimeter, to the nearest hundredth of a unit, of polygon
ABCDE ?
Step-by-step explanation:
answer is 20.31
I'm positive
Find the area of the shaded figure
Answer:
its 56 units square.
Step-by-step explanation:
(count the tiles in the shaded figure, you'll get the area)
Select the expression that has a value of 28. (4 points)
Group of answer choices
8 + (4 x 6) ÷ 2 + 7
8 + 4 x 6 ÷ (2 + 7)
(8 + 4 x 6) ÷ 2 + 7
(8 x 4) + 6 ÷ 2 − 7
Answer:
(8 + 4 × 6) ÷ 2 + 7
Step-by-step explanation:
8 + (4 × 6) ÷ 2 + 7 = 27
8 + 24 ÷ 2 + 7
8 + 12 + 7
27
8 + 4 × 6 ÷ (2 + 7) = [tex]10\frac{2}{3}[/tex]
8 + 4 × 6 ÷ 9
8 + 24 ÷ 9
[tex]8 + 2\frac{2}{3}[/tex]
[tex]10\frac{2}{3}[/tex]
(8 + 4 × 6) ÷ 2 + 7 = 23
(8 + 24) ÷ 2 + 7
32 ÷ 2 + 7
16 + 7
23
(8 × 4) + 6 ÷ 2 − 7 = 28
32 + 6 ÷ 2 - 7
32 + 3 - 7
35 - 7
28
Answer:
D
Step-by-step explanation
D
D
Please answer correctly and no links pls
Answer: 13.) 49, 14.) 64
Step-by-step explanation:
7x7=49, 8x8=64
if a hockey ticket regular cost $25 and the sale price cost $20
Answer:
The sale price would be 20% off.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
I need help btw i am in middle school
NAHHHHHH THATS 4TH GRADE MATH HOLLL UP
Answer:
1 is 2/5 youre correct
2 is 1/3
3 is 2/3
4 is 3/5
hope this help
How many lines of symmetry does the figure have?
a. Lines of symmetry: 0
b. Lines of symmetry: 1
C. Lines of symmetry: 2
d. Lines of symmetry: 3
Answer:
1
Step-by-step explanation:
Write the function in the form f(x) = (x − k)q(x) + r for the given value of k. F(x) = x3 − x2 − 18x + 19, k = 4 f(x) = Demonstrate that f(k) = r. F(4) =
Solution :
Given :
[tex]$f(x)=x^3-x^2-18x+19$[/tex]
By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then
[tex]$f(x)=(x-k)q(x)+r$[/tex]
Here, k = 4
Therefore, divide the f(x) with (x - 4) to find the q(x) and r.
__________________
[tex]$x-4$[/tex] | [tex]$x^3-x^2-18x+19$[/tex] | [tex]$x^2+3x-6$[/tex]
[tex]$x^3-4x^2$[/tex]
------------------------------------
[tex]$3x^2-18x$[/tex]
[tex]$3x^2-12x$[/tex]
-------------------------------------
[tex]$-6x+19$[/tex]
[tex]$-6x+24$[/tex]
-------------------------------------
[tex]$-5$[/tex]
Therefore,
q(x) = [tex]$x^2+3x-6$[/tex]
r = -5
[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]
[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]
[tex]$=-5$[/tex]
PLEASE HELP ME A soccer field is bordered on three sides by a parking lot of width x. The total length of the field and parking lot is 300 m, and the total width is 200 m.
The area of the field is 30.000 m². How wide is the parking lot?
Answer:
Step-by-step explanation:
Assuming the parking lot is along both widths of the field and only once along the length:
the length is (300 - 2x)
the width is (200 -x)
the area is (300-2x)(200-x) = 30000
60000 -300x - 400x +2x^2 = 30000
2x^2 -700x + 30000 = 0
x^2 - 350x + 15000 = 0
(x - 300 )(x - 50 ) = 0
x = 300 or x=50
x=300 results in negative measures.
the parking lot is x=50 wide
the length of the field is 200, the width of the field is 150
help please!!! just need to answer numbers 1-3 thank you to whoever helps !! :)
Answer:
1) Area = ½ b × h
= ½ × 6 × 4
= 12
2) Area = ½b × h
= ½ × 3 × 4
= 6
3) Area = ½b × h
= ½ × 4 × 7
= 14
please help lol !!!!
Answer:
63 degrees
Step-by-step explanation:
Since this is an isosceles triangle, the two bottom angles must be equal, while the top angle (in the way this specific triangle is oriented) must be different. Therefore, angle CDB is 63 degrees.
Answer:
∠CDB = 63°
Step-by-step explanation:
∠CBD and ∠CDB opposite side lengths are congruent (indicated by the little markings)
Because their opposite sides are congruent they are too congruent
So ∠CBD = ∠CDB
because ∠CBD = 63° ∠CDB also equal 63°
Which of these numbers is irrational?
Help plz due now will give brainliest
Answer:
√12 is irrational
Step-by-step explanation:
What’s the answer? PLEASE ! NO LINKS. thanks !
Answer:
84 [tex]cm^{2}[/tex]
Step-by-step explanation:
find the area of each shape and add them together
Rafa went to Lone Star Auto who charges $35 for each car plus $7 per hour. If Rafa's bill was $63, how many hours did he get his car worked on?
Answer: 4 hours
Step-by-step explanation:
Given
Auto charge a fixed amount of $35
and $7 per hour
Rafa bill was $63
Suppose Rafa travels for x hours. So, we can write
[tex]\Rightarrow 63=35+7x\\\Rightarrow 28=7x\\\Rightarrow x=4\ \text{hour}[/tex]
pls help me its pls——
Answer:
Sorry but I love you
Step-by-step explanation:
2/3+1/12 what's the answer
Answer:
3/4 or 9/12 make the denominators the same then just add
Answer:
9/12 or simplified as 1/4
Step-by-step
2×4/3×4 + 1/12
= 8/12 + 1/12
= 9/12
= 1/4