Answer:
25
Explanation:
As can be seen from the figure:
The length of each support cable is:
√ 24² + 7² (pythagorean
theorem/
√576 +49
= √625
= √25²
25 feet
so the answer is 25
A, C and D are points on a circle of radius 4 cm, centre O. BA and BC are tangents to the circle. 4 cm, OB = 10 cm D O 4 cm Work out the length of arc ADC. Give your answer correct to 3 significant figures. B
Without cos, please and thank you!
By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.
How to determine the arc of a system formed by a circle and two symmetrical right triangles
Since AB and BC are tangent to the circle, then the triangles OAB and OBC are right angled. We can determine the measure of the angle AOC by using the following inverse trigonometric reason and Pythagorean theorem:
[tex]\theta = 2\cdot \tan^{-1}\left(\frac{\sqrt{10^{2}-4^{2}}}{4} \right)[/tex]
θ ≈ 132.844°
And the measure of the arc ADC is found by the formula for the length of a circle arc:
s = θ · r (1)
Where:
θ - Central angle, in radiansr - Radius, in centimeterss = (2π - 132.844π/180) · (4 cm)
s ≈ 15.858 cm
By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.
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If you raised $400,000 in a stock sale and gave up 12% of your company, what was the implied valuation of the company?
1. What is the area of the triangle below?
10 in.
7 in.
Hi!
Triangle Area Formula:[tex]\cfrac{bh}{2}[/tex]
Where b = base and h = height.
In the given problem, the base and height of the triangle are 10 inches and 7 inches.
Now, we can use the formula above.
If we plug in the given values, we have:
[tex]\dfrac{10*7}{2}[/tex]
Multiply 10 and 7:
[tex]\dfrac{70}{2}[/tex]
Divide:
[tex]35[/tex]
Using the triangle area formula, we have gotten a value of 35.
Therefore, the area of the triangle is 35 inches squared.
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Answer:
35 inches²
Step-by-step explanation:
Given Base and Height of triangle: 10 inches and 7 inches
To determine the area of a triangle, multiply the base and the height. Then divide the product of the base and the height by 2.
Therefore, the "area of triangle" formula is:
[tex]\boxed{\text{Area of a triangle} = \frac{\text{Base} \times \text{Height}}2}[/tex]
Now, substitute the base and the height in the formula. Then, simplify the expression to determine the area of the triangle provided.
[tex]\implies \text{Area of the triangle} = \dfrac{\text{10} \times \text{7}}2}[/tex]
[tex]\implies \text{Area of the triangle} = \dfrac{70}2} = \boxed{35 \ \text{in}^{2}}[/tex]
Therefore, the area of the triangle is 35 inches².
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I have no idea what to do for this question somebody please help
Answer:
405π
Step-by-step explanation:
Use the formula for Volume Of Cylinder (V=πr²h) where "V" represents the volume, "r" represents the radius, and "h" represents the height
The volume and the radius are given. (V=45π, r=3)
1. Solve for height
V=πr²h
45π=π3²h
45π/π=3²h
45=3²h
45=9h
45/9=h
h=5
2. Plug the new radius (3*3=9) into this formula and solve for "V"
V=π9²5
V=π81*5
V=405π
NEW VOLUME AFTER A TRIPLED RADIUS IS 405π
give two coterminal angles (one positive and one negative) and the reference angle -4 pi/5
The coterminal angle for the -4π/5 are -14π/5 , 6π/5 and reference angle is π/5 respectively.
What is coterminal angles?Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle:
-4π/5
To find the coterminal angle, add and subtract by 2π in the angle -4π/5
Coterminal angle:
= -4π/5 - 2π
= -14π/5
= -4π/5 + 2π
= 6π/5
Reference angle:
= π - 4π/5 (as the angle lies in the second quadrant)
= π/5
Thus, the coterminal angle for the -4π/5 are -14π/5 , 6π/5 and reference angle is π/5 respectively.
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(4, a) and (2, 5) are two points from a direct variation. What is a? Use the step-by-step process you just learned to solve this problem. Step 1: Set up the correct type of variation equation. y =
Answer:
y = kx
step 2 = 2.5
step 3 = 10
Step-by-step explanation:
Just answered on edge, got it correct.
x^2-15x+50 factor trinomials pls help me with this i need help thank you
Answer:
(x−10)(x-5)
Step-by-step explanation:
Answer: (x - 10) ( x -5)
Step-by-step explanation:
x2 - 15x + 50
x2 - 5x - 10x + 50
x (x-5) - 5( x - 10) => ( x -5 ) (x-10)
Joseph needs to buy insulation for the inside of a truck container. The container is a rectangular prism 12 feet long, 7 feet wide, and 6.5 feet high. How much insulation should Joseph buy if all surfaces except the floor are to insulated?
Answer:
Joesph needs to be 331 feet of flooring to cover all sides except the floor.
Step-by-step explanation:
To answer this question, you need to find the areas of the sides and the roof.
Side (left and right): 12 feet long multipled by 6.5 feet high. 12*6.5=78 ft^2. Multiply this by 2 to get the combined areas of both the left and right side. 156 ft ^2
Side (back and front): 7 feet wide by 6.5 feet high. 7*6.5=45.5 ft^2. Multiply this by two to get the combined areas of the back and the front sides. 91 ft^2
Roof: 7 feet wide multiplied by 12 feet long. 7*12=84 ft^2
84+91+156=331 ft^2
Answer:
331 ft²
Step-by-step explanation:
Area of a rectangle = width × height
Given:
base width = 7 ftbase length = 12 ftheight = 6.5 ftSurface area (minus the floor):
= 2(7 × 6.5) + 2(12 × 6.5) + (7 × 12)
= 91 + 156 + 84
= 331 ft²
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The schools is loacted at (1, -8) and the park is loacted at (-6,-8)
Find the vertex of the parabola.
y = 2x2 + 8x+12
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(2)}~~~~ ,~~~~ 12-\cfrac{ (8)^2}{4(2)}\right)\implies \left( -\cfrac{8}{4}~~,~~12-\cfrac{64}{8} \right) \\\\\\ (-2~~,~~12-8)\implies (-2~~,~~4)[/tex]
Does the federal government have enough power to carry out its constitutional responsibilities? Explain.
Answer:
The federal government's "enumerated powers" are listed in Article I, Section 8 of the Constitution. Among other things, they include: the power to levy taxes, regulate commerce, create federal courts (underneath the Supreme Court), set up and maintain a military, and declare war. It is their job to carry out constitutional responsibilities for society.
Step-by-step explanation:
How many boxes of markers must be sold for the company’s income to equal the cost of production
State all the total value
(Canadian money)
solve:
i)x+y=5
ii)x-y=3
iii)2x+y=7
iv)3x-2y=0
Answer:
I) X+Y
when X=0
0+y=5
Y=5
When Y=0
X+0=5
X=5
(X,y)=(5,5)
(ii) X-Y=3
When X=0
0-Y=3
Y=-3
When Y=0
X-0=3
X=3
(X,Y)=(3,3(
(III) 2x+Y=7
when X=0
0+Y=7
Y=7
when Y=0
2x+0=7
2x=7
X=7/2 or 3.5
(X,Y)=(3.5,7)
(Iv)
3X-2Y=0
when X=0
0-2Y=0
-2Y=0
Y=0
When Y=0
3x-0=0
3X=0
X=0
(X,Y)=(0,0)
If the radius of a circle is 8 ft, what is the length of the diameter? 8 ft 24 ft 4 ft 16 ft
[tex]\large\boxed{\bold{d= r ×2}}[/tex]
In this question all the required values are given so we'll simply have to solve.
Let's substitute the values according to the formula.
[tex]\bold{d= 8×2}[/tex]
[tex]\large\boxed{\bold{d= 16 \ ft}}[/tex]
Therefore, the diameter of the given circle is 16 ft.
Answer= Option D
PLSS HELP. ALGEBRA 1. 9TH GRADE..ASAP PLSSS
Answer:
y = - 4
Step-by-step explanation:
[tex]\cfrac{2}{5}\left(10y-5\right)-2y=-10[/tex] (Multiply)
[tex]\cfrac{2\left(10y-5\right)}{5}-2y=-10[/tex]
[tex]\cfrac{2\left(10y-5\right)}{5}\times \:5-2y\times \:5=-10\times \:5[/tex]
[tex]2\left(10y-5\right)-10y=-50[/tex] (Expand)
[tex]10y-10=-50[/tex]
[tex]10y-10+10=-50+10[/tex] ( Add 10)
[tex]10y=-40[/tex] (Simplify)
[tex]\cfrac{10y}{10}=\cfrac{-40}{10}[/tex] (Divide by 10)
[tex]y=-4[/tex]
Answer:
[tex]y=-4[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{2}{5}(10y-5)-2y=-10[/tex]
Expand the brackets:
[tex]\implies \dfrac{2}{5}(10y)-\dfrac{2}{5}(5)-2y=-10[/tex]
[tex]\implies \dfrac{2 \cdot 10}{5}y-\dfrac{2 \cdot 5}{5}-2y=-10[/tex]
[tex]\implies \dfrac{20}{5}y-\dfrac{10}{5}-2y=-10[/tex]
[tex]\implies 4y-2-2y=-10[/tex]
Collect like terms:
[tex]\implies 4y-2y-2=-10[/tex]
Combine like terms:
[tex]\implies 2y-2=-10[/tex]
Add 2 to both sides:
[tex]\implies 2y-2+2=-10+2[/tex]
[tex]\implies 2y=-8[/tex]
Divide both sides by 2:
[tex]\implies \dfrac{2y}{2}=\dfrac{-8}{2}[/tex]
[tex]\implies y=-4[/tex]
A street is 250 m long. It is represented by a distance of 5 cm on a map. Express the scale of the map in the form 1 : r.
Answer:
1 : 5000
Step-by-step explanation:
Firstly align the unit
Map 5cm represent 250m = 250x100cm = 25000cm
scale = 5 : 25000 = 1 : 5000
{2700,-900,300…}is the sequence geometric
Answer:
Yes, the sequence is geometric.
Step-by-step explanation:
The rule is divide by -3
Multiplying or dividing is a geometric sequence
which point lies on the bisector of angle PQR ?
The point that lies on the bisector of angle PQR in the diagram given is: point Y.
What is an Angle Bisector?An angle bisector is a segment that cuts an angle into two equal parts.
From the image given, point Y lies directly opposite to vertex Q. Point Y divides angle PQR into equal parts.
Therefore, the bisector of angle PQR is: point Y.
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You start at (0, 0). You move up 3 units. Where do you end?
Answer:
(0,3)
Step-by-step explanation:
Since you're moving up, you add to y the y-intercept.
hope this helps
have a good day
Answer:
0,3 it on the 0 so if you move up 3 it would go to the second number so 0,3
Find tаn Ө.
A. 15/17
B.15/8
C.8/15
D.8/17
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
[tex] \tan(\theta) = \frac{perpendicular}{base} \\ [/tex]
we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !
[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ \dashrightarrow 17 {}^{2} = P {}^{2} + 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 17 {}^{2} - 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 289 - 64 \\ \\ \dashrightarrow \: P { }^{2} = 225 \\ \\ \dashrightarrow \: P = \sqrt{225} \\ \\ \dashrightarrow \: P = 15[/tex]
substituting the value of P in the formula
[tex] \tan(\theta) = \frac{15}{8} \\ [/tex]
therefore , option ( B ) is correct !
hope helpful ~
Can someone help me with this question please
Answer:
∠A≅∠Y AB≅YX
∠B≅∠X AC≅YZ
∠C≅∠Z BC≅XZ
ΔACB ≅ ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
In order for the function to be linear, what must a be and why?
a = 22 because the rate of change is 1.
a = 20 because the rate of change is 3.
a = 22 because the rate of change is –1.
a = 20 because the rate of change is –3.
For the function to be a linear, D. a = 20 because the rate of change is –3.
What is the Rate of Change of a Function?The rate of change = change in y / change in x.
Therefore, for the function to be linear, the rate of change must be the same across the table of values.
Using, (4, 26) and (5, 23):
Rate of change = (26 - 23)/(4 - 5)
Rate of change = (3)/(1) = -3
Using (5, 23) and (6, a), we have:
(23 - a)/(5 - 6) = -3
(23 - a)/(-1) = -3
23 - a = (-3)(-1)
23 - a = 3
-a = 3 - 23
-a = -20
a = 20
Therefore, the answer is: D. a = 20 because the rate of change is –3.
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PLEASEEEE HELPPO MEEEE
Answer:
c
Step-by-step explanation:
its c bro
Answer:
Step-by-step explanation:
Answer
Given
Area = 576 square feet
dimensions of x feet by x feet
Since both the length and width are the same dimensions, x feet, use the area to calculate the length of the dimension.
×·×=576
[tex]x^{2} = 576\\[/tex]
[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{576[/tex]
×= 24
Now we have the length of the dimension of the fence, normally, we will be using the four sides to build the fence, but since we will be using the wall of the house as one of the sides, then we will only multiply by 3
3x24=72
Therefore, the fencing needed is 72 feet.
You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 18 inches and a height of 20 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.
Step-by-step explanation:
the volume of a cylinder is
base area × height.
and the base is a circle, and the area of a circle is
pi×r²
remember, the radius is half the diameter.
so, in our case, the volume is
pi×(18/2)²×20 = pi×9²×20 = pi×81×20 = pi×1620 =
= 5,089.380099... in³ ≈ 5,089 in³
BRAINLIST IF CORRECT WORTH 100POINTS
Frank opens several pea pods and counts the number of peas in each pod. He records the number.
Written as a percent, what is the experimental probability that the pea pod has 9 peas in it?
Question 4 options:
12.5%
48.8%
45%
18%
Answer:
45%
Explanation:
According to the question, we can get:
[tex]N=1+4+18+15+2=4D[/tex]
[tex]P=\frac{18}{40}[/tex]
[tex]=0.45[/tex]
[tex]=45[/tex]%
Therefore, Written as a percent, the experimental probability that the pea pod has 9 peas in it is 45%
Answer:
Hi! The answer is 45%
Step-by-step explanation:
I just took the review and got the answer.
here is proof.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
A store sold 250 shirts last week. The sales increased by 15% this week.
Find the sales volume for this week.
Answer:
288
Step-by-step explanation:
quick calculator use
15% of 250 is 37.5
add that to 250 to get 287.5
can't sell half a shirt so the answer is 288
The combined volume of two identical cubes is 250 cubic centimeters what is the measure of one cubes edge
Answer:
5 cubic centimeters
Step-by-step explanation:
250 divided by 2 = 125
To get to 125 you can do 5 x 5 x 5.
Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.
gsddsgaddsgdsggdsgsd
Answer:
?
Step-by-step explanation:
Answer:
rt4564564fr5646
Step-by-step explanation:
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3% of their carbon-14. How old were the bones at the time they were discovered?
The bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
What is half-lives?Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.
There is a scientist who determined that the bones from a mastodon had lost 70.3% of their carbon-14. Thus, the fraction remaining is,
f=1-(70.3/100)=1-0.703
f=1-(70.3/100)=0.297
Now the fraction remaining can be given as,
f=(1/2)ⁿ
Here, n is the half life elapsed. Put the value of fraction remaining.
0.297=(1/2)ⁿ
n=1.75
The radioactive element carbon-14 has a half-life of total 5750 years. Thus,
Years=1.75*5750
Years=10062.5
Thus, the bones at the time they were discovered when the radioactive element carbon-14 has a half-life of total 5750 years are 10062.5-year-old.
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