Answer:
0.833
Step-by-step explanation:
Find the measure of a, b, c, d, e
Answer:
a:90 b:90 c:42 d:48 e:132
Step-by-step explanation:
assuming the picture is accurate^^^
a = 90°
b = 90°
c = 42°
d = 48°
e = 132°
Step-by-step explanation:
Here as you can see c and 132° is vertically opposite to each other so it can be name as vertically opposite angle....
Vertically opposite angle are always equal to each other....e = 132°
Now....
here c and d are supplementary angle...
c + d = 180°
132° + d = 180°
d = 180° - 132°
d = 48°
Now...
b = 90° ( being vertically opposite angle )
Here a and b are supplementary angle ....
a + b = 180°
a = 180° - 90°
a = 90°
Now...
c + 138° = 180° ( supplementary angle )
c = 180° - 138°
c = 42°..
[tex]...[/tex]
which has the same ratio as 8 inches/1 foot?
Answer:
16 inches/2 feet
Step-by-step explanation:
We already have our ratio of 8:1, so we can multiply this ratio by any number of out choosing and the ratio will still be the same.
What are the solving steps and two
solutions to this equation using the quadratic formula?
-x^2-10x-21=0
Answer:
-x² - 10x -21 = 0
x² +10x +21 = 0
x² + 7x + 3x + 21 = 0
x ( x+7) + 3 (x+7) = 0
(x+3) (x+7) = 0
when (x+3) = 0,
x = -3
Again,
(x+7) = 0
x = -7
Answer:
7 and 3
Step-by-step explanation:
-b +/- sqrt(b^2+4ac)/2a
10 +/- sqrt(100-84)/2
10 +/- 4/2
7 and 3
D 2. Is it true to say, between any 2 distinct integers, there always exists a national numbers.
Answer:
i would say no
Step-by-step explanation:
Between any two distinct integers not necessary to be one integer.
Hope This Helped
3. Convert the measure from radian to degree.
Answer:
Here is the answer...hope it helps
A loaf of bread can be modeled by a rectangular prism topped with half a right cylinder. David measures the dimensions of the prism as 5 in by 5 in by 13 in. Using those dimensions, find the volume of the loaf. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)
we should use the formula volume=ab×hsquare
The correct answer is 487.5[tex]in^3[/tex]
What is Rectangular prism? A rectangular prism is a three-dimensional object that uses rectangles as parallel bases. The volume of rectangular prism is Length x width x heightHow to Solve the Problem?The dimension of the prism given are 5in , 5 in , 13in
We need to find the volume of the loaf of the bread
So ,
The volume of rectangular prism is Length x width x height
V1 = 5*5*13
∴ V1 = 325[tex]in^3[/tex]
The volume of half a right cylinder
V2= ([tex]\frac{1}{2}\pi r^{2}h[/tex])
∴ V2 = ([tex]\frac{1}{2}*(5)^{2}* 13[/tex])
∴ V2= 162.5 [tex]in^3[/tex]
∴ Volume of loaf of bread is V = V1+V2
∴ V = 325+162.5
∴V = 487.5[tex]in^3[/tex]
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What is the sum of all positive values of x such that x^2 + 6x - 91 = 0?
Answer:
20
Step-by-step explanation:
x^2 + 6x - 91 = 0
or, x^2 + 13x - 7x -91=0
or, x(x-13) -7(x-13) =0
or, (x-13)(x-7)= 0
either,
x-13=0 ==> X= 13
x-7=0 ==> X = 7
sum of all positive values of x = 13 +7 = 20The sum of all positive values of x such that x² + 6x - 91 = 0 is 20
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .
The given equation is x² + 6x - 91 = 0
x² + 13x - 7x -91=0
Take common terms
x(x-13) -7(x-13) =0
(x-13)(x-7)= 0
x-13=0
x= 13 and
x-7=0
x= 7
The two positive numbers are 13 and 7.
The sum of all positive values is 13 +7 = 20
Hence, the sum of all positive values of x such that x² + 6x - 91 = 0 is 20
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Find the distance between the points F And K
Answer:
is it 6?! eu n sei a pergunta
Dion flips a coin 20 times and records if it comes up heads. if getting heads is a success, what is the probability of a success on each roll? 0.2 0.3 0.5 1.00
The probability of a success on each roll of the coin that is filipped by Dion is 0.5.
What is the probability?Probability is the likelihood that a stated event would occur. The odds the event occurs is 1 and the odds that the event does not happen is 0. If a coin is flipped, there is 50% chance of getting either a head or a tail.
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Answer:
its c
Step-by-step explanation:
.5 on edge! just took the test
omg i keep mixing up the questions I JUST NEED HELP ON PART A THATS IT
Answer:
1/557
Step-by-step explanation:
The scale factor on a map is the ratio of one unit to the distance that unit measures!
please help me......asap
Answer:
Step-by-step explanation:
Find the product.
-a2b²c²(a+b-c)
Answer:
[tex]- a^{3} b^{2} c^{2} - a^{2} b^{3} c^{2}+ a ^{2} b^{2} c^{3}[/tex]
Step-by-step explanation:
branliest pls
Brooke baked 7 batches of cookies with x cookies in each barch. She then ate 5 cookies, How many cookies does Brooke have left? Write your answer as an expression.
Answer
(7*x) -5
Step-by-step explanation:
What is the area of a square that has a length of x-5?
Answer:
x^2 - 10x + 25
Step-by-step explanation:
(x-5) (x-5)
= x^2-10x+25
Answer:
Step-by-step explanation:
[tex]\text{Formula for the area of a square:}[/tex]
[tex]A=s^2[/tex] [tex](\text{"S" represents the side length} )[/tex][tex]\text{Given}[/tex]:
[tex]\text{The side length is x - 5, so we can plug that into the equation}[/tex][tex]\text{Solving}[/tex]:
[tex]A=s^2[/tex][tex]A=(x-5)^2[/tex][tex]A=x^2-10x+25[/tex]what’s the circumference, to this problem ?
Answer:
18.5 about
Step-by-step explanation:
2[tex]\pi[/tex]r
2[tex]\pi[/tex]3
= about 18.5
Answer:
circumference=2πr
2× 22/7×3=18.85
Pre-algebra Course challenge pls help
Which set of ordered pairs could be generated by an exponential function?
, ),
4.
16
O (1, 1), (2.4), (3,4) (4.4)
,
O (1, 1), (2,4) (3:4). (**)
,
0 (1,2), (2,4), (3,5), (446)
(1-2)(24). (3) (46)
3
3
PLEASE HELP
Answer:
(1,1), (2, 1/4), (3, 1/9), (4, 1/16)
Step-by-step explanation:
(1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) are the ordered pairs which could be generated by an exponential function.
What is a function?A relation is a function if it has only One y-value for each x-value.
An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and
a is a constant which is called the base of the function and it should be greater than 0.
We have to find the set of ordered pairs could be generated by an exponential function.
(1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) represents the exponential function.
y=1/2ˣ
y=2⁻ˣ
Hence, (1,1/2)(2, 1/4), (3, 1/9), (4, 1/16) are the ordered pairs which could be generated by an exponential function.
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Use the given values of n and p to find the minimum usual value μ- 20 and the maximum usual value μ+20. Round your answer to the nearest hundredth unless otherwise noted.
n=713, p= 4/5
Answer:
μ - 2σ = 549.04μ + 2σ = 591.76Step-by-step explanation:
Given the parameters of binomial distribution
n = 713, p = 4/5We need to find the mean μ and the standard deviation σ to calculate required values
Follow the steps below1. Find the mean
μ = n·p = 713*(4/5) = 570.42. Find the variance
σ² = np(1 - p) = 713*(4/5)*(1 - 4/5) = 114.083. Find the standard deviation
σ = √114.08 = 10.68 (rounded)Find the minimum usual value
μ - 2σ = 570.4 - 2*10.68 = 549.04Find the maximum usual value
μ + 2σ = 570.4 + 2*10.68 = 591.76Answer:
Min:549.04; Max:591.76
Step-by-step explanation:
easy points..........
Answer:
38°; 142°; 308°Step-by-step explanation:
The solution of each question is self-explanatory.
Used properties
Vertical angles are congruentAngle sum property of circleCentral angle is same as intercepted arc measure#8mED = mAB = mAC - mBC = 90° - 52° = 38°#9mEA = mBCD = mBC + mCD = 52° + 90° = 142°#10mBDC = 360° - mBC = 360° - 52° = 308°Answer:
38°; 142°; 308°
Step-by-step explanation:
belive me
F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1
The value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have:
[tex]\rm F(x, y, z) = yzi+ 9xzj+ e^{xy}k[/tex]
And curl is x²+y²= 9 and z =1
In the parametric form:
[tex]\rm \vec{r}(t) = 3cost \vec{i}+3sint \vec{j}+\vec{k}[/tex] 0 ≤ t ≤ 2π
First two component represent the circle and last one represent the z =1
Using Stoke's theorem:
[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits_C {\vec{F}} \, .d\vec{r } = \int\limits^{2\pi}_0 {\fec{F}(\vec{r}(t)).\vec(r)t} \, dt[/tex]
Here:
[tex]\rm \vec{F}(\vec{r}(t)) = 3sint \vec{i}+27cost \vec{j}+e^{cost.sint}\vec{k}[/tex]
Now calculate the dot product of curl F and dS we get:
[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = \int\limits^{2\pi}_0 (-9sin^2t+81cos^2t)dt[/tex]
After solving the above integral, we will get:
[tex]\rm \int\limits\int\limits_S {curl \ \ve{F}.d\vec{S}} = 72\pi[/tex]
Thus, the value of curlF.dS is 72π if the F(x, y, z) = yzi 9xzj exyk, c is the circle x2 y2 = 9, z = 1
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When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By how much?
Answer:
Adam's height - Mark's height =
[10 - 100tan (2.3)] - [10 - 100tan(2.6) ] =
≈ [5.96ft - 5.46 ft] =
≈ .50 ft ..... and Adam is ≈ 6 inches taller
Step-by-step explanation:
Adam's height - Mark's height =
[10 - 100tan (2.3)] - [10 - 100tan(2.6) ] =
≈ [5.96ft - 5.46 ft] =
≈ .50 ft ..... and Adam is ≈ 6 inches taller
What is the sum of 7 1/12 + 8 1/12 + 3 1/12?
Answer:
8,064 I'm sure that's is answerCarson needs to build a closed container out of sheet metal, but needs to minimize the amount of sheet metal used. The volume of Carson's container needs to be approximately 320 cubic Inches. Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal. Which design should Carson choose? A. Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in. B. Rectangular prism with dimensions of 10 in., 8 in., and 4 in. C. Cylinder with a radius of 5 in. and height of 5 in. D. Square pyramid with a base length of 10 in., height of 10 in, and slant height of approximately 14 in.
Carson needs to select one of the following designs that meet his volume requirement, using the least amount of sheet metal which is the first option. Rectangular prism with dimensions of 8 in, 8 in., and 5 in.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
Carson needs to build a closed container out of sheet metal but needs to minimize the amount of sheet metal used.
The volume of Carson's container needs to be approximately 320 cubic Inches.
Carson needs to select one of the following designs that meets his volume requirement, using the least amount of sheet metal.
If we consider the Rectangular prism with dimensions of 8 inches (in.), 8 in., and 5 in.
Then the volume would be
[tex]V = 8 \times 8 \times 5\\\\V = 320[/tex]
This satisfies the given volume so it could be the correct answer.
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Emergency pls help: tisha is moving into her first apartment and ordered a large mirror for her room from a catalog. the catalog says the mirror is 7 feet tall. if she leans the mirror against the wall at a 76 degree angle, how far away from the wall will its base be, to the nearest hundredth of a foot?
Using the slope concept, it is found that the base of the mirror will be 1.75 feet from the wall.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, the vertical change is of 7 ft, with an angle of 76º, and the distance is the horizontal distance, hence:
tan(76º) = 7/d
d = 7/tan(76º)
d = 1.75.
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please solve for me. please be right
Answer:
It would be 60
Step-by-step explanation:
So 3(3*5 + 5) so 3*5 would be 15, 15+5=20, and 20*3=60
This is really simple if you can't figure this out, you might as well go back to 1st grade and below
pls try before asking
Determine the domain D of the mapping f : x ---2x - 3, if C={-3, -1, 5} is the range and f is defined on D
The domain is ={-3, -1, 5} for the given function f(x) = 2x - 3.
How to determine the domain and range?The domain of the function is defined as the set of the numbers we are allowed to put in the function while the range is the assumed data put in the function.
Given function:-
f(x) = 2x - 3
The domain will be C={-3, -1, 5}
The range can be any random value which we can put in the function.
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Find the slope of the line that passes through (5, 2) and (8, - 1)
Answer:
-1
Step-by-step explanation:
when the points are placed on a graph correctly, you would have to go down 6 and over 6; rise over run would make that -6/6 which is equal to -1
Please help me. I’m stuck on it
Answer:
y = 6
x = -16
Step-by-step explanation:
[tex]\left \{ {{x + 4y = 8} \atop {3x + 8y = 0}} \right.[/tex]
[tex]x + 4y = 8\\ - 4y -4y\\x = 8 - 4y\\substitution\\3(8 - 4y) + 8y = 0\\ 24 - 4y = 0\\-24 -24\\-4y = -24\\\frac{-4x}{-4} = \frac{-24}{-4}\\y = 6 \\plug \\x = 8 - 4y\\x = 8 - 4(6)\\x = -16\\y = 6, x = -16[/tex]
Identify the measure of arc AD◠.
Answer:
36
Step-by-step explanation:
18*2 = 36
What is 10% of 79,775
Answer:
7977.5
Step-by-step explanation:
.10 times 79775 =7977.5