Answer: C
Step-by-step explanation:
5 × 3.5 = 17.5 > 16 .
What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.
Answer:
-1
Step-by-step explanation:
first put the equation in slop int form:
y= x-6
to find the slope of a line that is perpendicular take the negative reciprical of the slope
so the answer is
-x
PLS ANSWER RN
Pierre is making a mural. He wants to cut a piece of tile to fit in between two others. He knows that one angle has to be 46°. What must m
A. 23
B. 24
C. 67
D. 134
Find the measure of the exterior 21.
45°
Ο Α. 10"
Β. 125°
C. 80'
D. 100°
Answer:
D. 100
Step-by-step explanation:
jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years
Answer:
9927.5$
Step-by-step explanation:
4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.
Find the slop help please
what is 7,548,392 rounded to 100
Answer:
7,548,400
Step-by-step explanation:
A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism
Answer
i think it is 48.
Step-by-step explanation:
plz plz plz plz help me
Answer:
Solution given:
perpendicular [P]=15m
base[B]=8m
hypotenuse [H]=17m
rate :4 plants per square metre
no of plants=?
we have
Area of triangular garden: ½(P*B)=½(15*8)=60m²
Now
Total no of plants =rate ×Area =4×60=240
Michael needs 240 plants in the garden
Enter the coordinates of the
point on the unit circle at the
given angle.
-135°
Type + or -
V2
[? ]
2
12
>
2
Answer:
It's just negative, just enter this sign -
Step-by-step explanation:
The coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
What are coordinates of point on the circle?"The coordinates of any point on the circle [tex]x^{2}+ y^{2}= r^{2}[/tex] are [tex](r~cos\theta,r~sin\theta)[/tex]"
Formula of sin(A ± B)sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)
Formula of cos(A - B)cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
For given question,
We need to find the coordinates of the point on the unit circle at an angle -135°
We know, for unit circle radius = 1
So, the coordinates of any point on the unit circle would be [tex](cos\theta, sin\theta)[/tex]
Here, [tex]\theta=-135^{\circ}[/tex]
Now, we find the the value of [tex]sin(-135^{\circ}),~cos(-135^{\circ})[/tex]
[tex]sin(-135^{\circ})\\\\=-sin(135^{\circ})\\\\=-sin(180^{\circ}-45^{\circ})\\\\=-[sin(180^{\circ})cos(45^{\circ})-cos(180^{\circ})sin(45^{\circ})]\\\\=-[0\times \frac{1}{\sqrt{2} }-(-1)\times \frac{1}{\sqrt{2} } ]\\\\=-(0+\frac{1}{\sqrt{2} } )\\\\=-\frac{1}{\sqrt{2} }\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\\\\=-\frac{\sqrt{2} }{2}[/tex]
and cos(-135°) would be,
[tex]cos(-135^{\circ})\\\\=cos(135^{\circ})\\\\=cos(180^{\circ}-45^{\circ})\\\\=cos(180^{\circ})sin(45^{\circ})+sin(180^{\circ})sin(45^{\circ})\\\\=((-1)\times \frac{1}{\sqrt{2}} )+(0\times \frac{1}{\sqrt{2} }) \\\\=-\frac{1}{\sqrt{2} }+0\\\\ =-\frac{1}{\sqrt{2}}\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2}\times \sqrt{2}}\\\\=-\frac{\sqrt{2} }{2}[/tex]
Therefore, the coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
Learn more about the coordinates of the point on the unit circle here:
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I need answer plz I beg I will give you a good rating and also points.
Answer:
44.95+x <= $250
Step-by-step explanation:
its the second option
she spent $44.95 on the 2 books she already bought. if x represents what she has left to spend, the total has to be LESS THAN or EQUAL TO $250 when they're added, so the second option is correct.
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
Answer:
am i suppoesd to do number 7 as well?
Step-by-step explanation:
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
look at picture
The height of the balloon above the ground is 554 ft.
I have attached a diagram where i have divided the triangle shown into 2.From the attached image, the third angle in triangle 1 would be;
180 - (90 + 85) = 5°
The supplementary angle in triangle 2 to 85° in triangle 1 is;
180 - 85 = 95°(because supplementary angles add up to 180)
The third angle of triangle 2 is; 180 - (95 + 75) = 10°
If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;100/sin10 = z/sin 75
z = 100(sin 75)/(sin 10)
Applying trigonometric ratio to triangle 1, we can find h as;h/z = sin 85
h = z sin 85
h = [100(sin 75)/(sin 10)] × sin 85
h ≈ 554 ft
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3/4 * 8 WITH EXPLANATION PLEASE
I WILL MARK YOU BRAINLIEST
Answer:
6
Step-by-step explanation:
3/4 * 8 is really easy but.....
you multiply the 3/4 * 8/1 (numerators and denominators) 3*8/4*1 = 24/4 = 6.
Answer:
6
Step-by-step explanation:
First you have to set it up 3/4 * 8/1
then you multiply the numerator and denominator to get 24/4 divide 24 by 4 to get 6, your final answer.
For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged
In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?
Step-by-step explanation:
sin(p) = opposite / hypontenuse = 45 / 53
PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
What is the missing term?
Answer:
- 15
Step-by-step explanation:
5 * -3 = -15
How many places do you need to move the decimal to the left to write the number below in scientific notation ? 1200000000000
what does y intercept mean ?
Answer: The vertical line on a graph representing the vertical coordinate points.
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.
Step-by-step explanation:
How many cubic blocks that are 4 inches on each side can fit into this box? A. 60 B. 20 C. 30 D. 15
Answer:
b
Step-by-step explanation:
Which expression is equivalent to 60 Σ n=1 (2n − 1)2 ? Check all that apply.
9514 1404 393
Answer:
B, D
Step-by-step explanation:
The quadratic expands to ...
(2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1
The coefficients can be factored out of the sum, so ...
∑(4n²) = 4∑n² for example
The sum of 60 ones is 60:
[tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]
So, the sum can be written as ...
[tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]
_____
It appears that the key to choosing the correct answers is paying attention to signs.
Answer: Step number 2 is 287,980
Step-by-step explanation:
Just did the assignment.
Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?
The total interest on the loan will be $457,412,82892.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.
We can find the total interest on loan, using the formula -
I = {P(1 + APR/100)^t − P}
The principal amount of loan = $220,000
Compound APR = 3.82%
Time = 30 years
Using the formula, we get -
220,000[1 + 0.0382]^30−220,000
220000{[1 + 0.0382]^30 - 1}
$457,412,82892
Therefore, the total interest on the loan will be $457,412,82892.
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Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true
Answer:
2
Step-by-step explanation:
4(3+2) = 6(2)+4(2)
4(5) = 12 + 8
20=20
Answer:
2
Step-by-step explanation:
4(3+2)=20
6(2)+4(2)
12+8=20
so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches
2(x + 4)2 = 20 solve by square roots
Answer:
x = − 4 ± √ 10,
Step-by-step explanation:
2(x + 4)² = 20
=> 2(x + 4) (x + 4) = 20
=> 2x + 8 (x + 4) = 20
=> 2x² + 8x + 8x + 32 = 20
=> 2x² + 16x + 32 = 20
=> 2x² + 16x + 12 = 0
=> Now solve using the quadratic formula:
x = − 4 ± √ 10,
Radical form: − 4 ± √ 10,
Decimal form: -0.84, -7.16
Hope this helps!
solve for b
b − 326 = 411
Answer:
b = 737
Step-by-step explanation:
b - 326 = 411
+ 326 +326
b = 737
Answer:
b = 411 - 326
b = 85
I hope this will be helpful
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answer:
Step-by-step explanation:
Plsss help!!!!!!!!!!!
For each of the following situations, state the predictor variable and the outcome variable.
a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per 100,000 drivers is compared to the age of drivers.
b. A study is done to determine if the weekly grocery bill changes based on the number of family members.
Answer:
Part a
Predictor variable - age of drivers
Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers
Part b
Predictor variable - Number of family members
Outcome variable - weekly grocery bill
Step-by-step explanation:
Part a)
Predictor variable is basically independent variable whose influence is studied on the dependent variable or the outcome variable
Predictor variable - age of drivers
Outcome variable - number of fatalities caused by elderly drivers out of total 100,000 drivers
Part b
Predictor variable - Number of family members
Outcome variable - weekly grocery bill
2. Find the sum of the 7th term of the
geometric series. 3+1+1/3+ ...
How do I find it, must show work
Answer:
sum
In the given G.S., we have,
a
=
the
1
s
t
term
=
3
,
& the common ratio
r
=
−
6
3
=
−
2
Hence, the sum
S
n
of its first
n
terms is given by,
S
n
=
a
(
1
−
r
n
)
1
−
r
∴
The Reqd. Sum S_7
=
3
(
1
−
(
−
2
)
7
)
1
−
(
−
2
)
=
3
(
1
+
128
)
3
=
129
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP
Answer:
49.2
Step-by-step explanation:
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why
Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5