Answer:
x = 10
Step-by-step explanation:
Let's draw the center of the circle S and the segments SE and SD.
SE is perpendicular to EF (as EF is tangent to circle).
That means FED + DES = 90deg
We also know that DSE = 120deg
And because the SED is an isosceles triangle, we know that angle measures for DES and SDE are equal.
DES = (180deg - 120deg) / 2 = 30deg
FED = 90deg - DES = 90deg - 30deg = 60deg
7x - 10 = 60
7x = 70
x = 10
Find the probability that a randomly selected point within the circle falls into the white area round to the nearest tenth of a percent
Answer:68%
Step-by-step explanation:
find area of the circle=50.2
Find the are of the triangle=16
Then find ratio=16/50.2
Then reduce=8/25.1=32%
Then subtract= 100-32=68%
A manufacturer of band saws wants to estimate the average repair cost per month for the saws he has sold to certain industries. He cannot obtain a repair cost for each saw, but he can obtain the total amount spent for saw repairs and the number of saws owned by each industry. Thus, he decides to use cluster sampling, with each industry as a cluster. The manufacturer selects a simple random sample of n = 20 from the N = 96 industries he services. The data on total cost of repairs per industry and number of saws per industry are as given in the accompanying table. Estimate the average repair cost per saw for the past month and place a bound on the error of estimation.
Industry No.of saws Total repair cost for past month
1 3 50
2 7 110
3 11 230
4 9 140
5 2 60
6 12 280
7 14 240
8 3 45
9 5 60
10 9 230
11 8 140
12 6 130
13 3 70
14 2 50
15 1 10
16 4 60
17 12 280
18 6 150
19 5 110
20 8 120
Answer:
The average repair cost per saw for the past month is 20.
The bound of error of estimation is ±10.
Step-by-step explanation:
a) Data and Calculations:
Industry No.of saws Total repair cost Average
for past month
1 3 50 16.67
2 7 110 15.71
3 11 230 20.91
4 9 140 15.56
5 2 60 30
6 12 280 23.33
7 14 240 17.14
8 3 45 15
9 5 60 12
10 9 230 25.56
11 8 140 17.50
12 6 130 21.67
13 3 70 23.33
14 2 50 25
15 1 10 10
16 4 60 15
17 12 280 23.33
18 6 150 25
19 5 110 22
20 8 120 15
Total 130 2,565 19.73
Average = Sum of the total repair cost for past month divided by the number of saws repaired
= 19.73 (2,565/130)
= 20
The bound on error of estimation = the difference between the upper bound of the interval and the calculated mean
= 30 - 20
= 10
The lower bound = 10
The bound of error is also = (30 -10)/2 = 10
Solve it below:
...............
Answer:
i.+25
ii.+18
iii.-10
Step-by-step explanation:
hope this helps
Answer and step-by-step explanation:
We need to show the increase or decrease in Andre's money by representing it through a number.
i. His uncle gave him $25 as a present
This would be +$25
ii. He earned $18 dollars tutoring
This would be +$18
iii. He spent $10 on a book
This would be -$10
Can you help me answer this question???????
Answer:
3^12
Step-by-step explanation:
Using the order of operations, what are the steps for solving this expression? 40/8+3^2+(15-7)*2 Arrange the steps in the order in which they are performed.
9514 1404 393
Answer:
simplify parenthesesevaluate the exponential termdivide 40/8multiply 8*2add 5+9add 14+16Step-by-step explanation:
40/8+3^2+(15-7)*2 . . . . given
The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.
40/8 +3^2 +8*2 . . . . (15-7) = 8
Then you evaluate exponential terms.
40/8 +9 +8*2 . . . . . 3^2 = 9
Then perform multiplication and division, left to right. Here, division is first, then multiplication.
5 +9 +8*2 . . . . . divide 40/8 = 5
5 +9 +16 . . . . . . multiply 8*2 = 16
Finally, perform addition and subtraction, left to right.
14 +16 . . . . add 5+9
30 . . . . . . . add 14+16
Answer:
it is 8
Step-by-step explanation:
What is the length of the altitude of the equilateral triangle below?
Will give brainliest if correct.
The length of the altitude of the equilateral triangle below is E) 6√3.
The answer is E) 6√3.
The altitude of an equilateral triangle is the perpendicular line that is drawn from a vertex to the opposite side. The altitude bisects the opposite side and the angle at the vertex.
In this equilateral triangle, the side length is 6. The altitude bisects the opposite side, so the altitude is also 6. The angle at the vertex is 60 degrees, so the altitude forms a 30-60-90 triangle with the opposite side and the altitude.
The ratio of the side length to the altitude in a 30-60-90 triangle is 1:√3:2. So, the altitude is 6 * √3 = 6√3.
Therefore, the length of the altitude of the equilateral triangle is 6√3.
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find values of x an y
4x+y 6x-y
Answer:
6xy+4x−y
Step-by-step explanation:
The area of each triangular face is 30 square feet true or false
Answer:
Step-by-step explanation:
true it is true true true
Hey everyone it is math pleased help me it is due today
Answer:
93 in²Step-by-step explanation:
Given triangular prism with:
a = 1.5 in, b = 2 in, c = 2.5 in, l = 15 inTotal surface area is:
A = Pl + 2B, where P is the perimeter of base, B is area of baseConsidering all given values we have:
A = (1.5 + 2 + 2.5)*15 + 2*(1/2*1.5*2) = 93 in²What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Answer:
5009.206
Step-by-step explanation:
The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!
Jax played baseball. His batting average for the season was 0.362. What is his batting average in the expanded form
Answer:
Jax should quit baseball hes bad at it
Step-by-step explanation:
You started a dog walking business. You spent $45 in start up costs and charge $12 per hour of
dog walking. How many hours must you walk before you have a minimum of $117?
Answer:
7
Step-by-step explanation:
Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8
5-|p+6|=-8
5-distance=-8= distance of them= 13
|p+6|=13
distance between/from p and -6
= -19 or 7,
So
Please Make me the brainliest pls
A rectangular flower garden in Samantha's backyard has 140 feet around its edge. The width of the
garden is 30 feet.
What is the length of the garden?
The length of the garden is
feet.
Answer:
40 feet
Step-by-step explanation:
140=2×(30+x) /:2
70=30+x /-30
40=x
A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:
6 5
Step-by-step explanation:
4 5 6 7
11. Saul's baseball bat has a mass of 1 kilogram His baseball has a mass
of 150 grams. What is the mass in grams of both items combined?
C. 1.150 grams
A. 1.15 grams
D. 115,000 grams
B. 115 grams
What would be the first step you would take in solving the equation 3 - 2x = 4(x + 15) ?
Answer:
Distribute the 4
Step-by-step explanation:
You should always distribute first then you should add the 2x. Then combine like terms. Then subtract 15 then divide by six. Then you get the answer x = -2.
At the book fair, Vald spends all of his money on new books. Pamela spends
2/3 as much as Vald. Eli spends 4/3 as much as Vald. Who spent the most?
The least?
Step-by-step explanation:
Lets take Vald spends $100 on the book fair which are all the money he had.
Pamela Spends 2/3 as much as Vald
Pamela Spends 2/3 x 100 = $66.67
Eli Spends 4/3 as much as Vald
Eli spends 4/3 x 100 = $133.33
From here, we can see Eli Spends the most and Pamela Spends the least.
help me pls plz please teachers math simple math lol ok smart wow cool points brainly tiktok
Answer:
5. 30km 6. sorry I forgot how to do these 1. 240m 2. 36cm 3. 64ft
Step-by-step explanation:
HELP ME ASAP!!!! I’m very confused and I need help!! Thanks!
Answer:
Reason 2)The transitive property of congruenceStep-by-step explanation:
There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.
A = A . . . . reflexive property
A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)
A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)
__
Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.
The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.
The diagram shows three touching circles.
A is the centre of a circle of radius x centimeters.
B and C are the centers of circles of radius 3.8 centimeters. Angle ABC = 70.
Find the value of x
Answer:
x = 7.31 cm
Step-by-step explanation:
cos 70° = 3.8/AB
0.3420 = 3.8/AB
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
AB = AC, hence ∠B = ∠C = 70°
∠A + ∠B + ∠C = 180° (angles in a triangle)
∠A + 70 + 70 = 180
∠A = 40°
BC = 3.8 + 3.8 = 7.6
Using sine rule:
BC/sinA = AB / sinB
7.6/sin(40) = AB/sin(70)
AB = 11.11 cm
x = 11.11 - 3.8 = 7.31 cm
The value of x which is the radius of circle A is 7.31 cm
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what is the value of A when we rewrite (32/5)^-2x as A^x
Answer:
[tex](\dfrac{25}{1024})^x[/tex]
Step-by-step explanation:
The given expression is :
[tex](\dfrac{32}{5})^{-2x}[/tex]
We need to rewrite it in the form of [tex]A^x[/tex].
We know that, [tex](\dfrac{1}{x})^{-a}=x^a[/tex]
So,
[tex](\dfrac{32}{5})^{-2x}=(\dfrac{5}{32})^{2x}\\\\=(\dfrac{5^2}{32^2})^x\\\\=(\dfrac{25}{1024})^x[/tex]
So, [tex]A=\dfrac{25}{1024}[/tex]. Hence, this is the required solution.
Answer: A = (32/5)^-2
Step-by-step explanation:
Please help will give brainliest
Answer:
One-third of the volume
Step-by-step explanation:
Volume of cylinder = πr²h
Volume of cone = (1/3)πr²h
Solve
(Perimeter)
Rectangle
Side- 10
Side- 5
What is the area of the regular trapezoid below?
64 cn2,80cm2,240cm2,480cm2
The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, each cross section perpendicular to the x -axis is a semicircle. What is the volume of the solid?
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
[tex]\displaystyle A=\frac{1}{2}\pi r^2[/tex]
The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:
[tex]\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx[/tex]
Substitute:
[tex]\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx[/tex]
Simplify:
[tex]\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx[/tex]
Integrate:
[tex]\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right][/tex]
Evaluate:
[tex]\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3[/tex]
The volume of the solid is π/40 cubic units.
Volume of a solid is the measure of the 3 dimensional space it occupies. The volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]
How to find the volume of a three dimensional region bounded by curves?For that, we can try to find infinitesimally small 3-d region's volume, and then integrate that region over the dimensions available to get the total volume of the specified region.
We can also use the fact that continuous curves are almost linear and non-changing in infinitely zoomed region.
The given solid has base bounded by x-axis, [tex]y=x^2[/tex] and 0≤x≤1
Its three dimensional region is along the z axis, for each x, there is a semicircle perpendicular with radius being 'y'.
If we take [tex]dx[/tex]x-axis, then the curve [tex]y=x^2[/tex]cylinder(split from height because of semicircle)) with diameter y, and height [tex]dx[/tex]volume is : [tex]V_{dx} = \dfrac{1}{2} \times \pi (\dfrac{y}{2})^2 \times dx = \dfrac{\pi (x^2)^2}{8}dx = \dfrac{\pi x^4}{8} dx[/tex]
Integrating this for 0≤x≤1, we will get the volume of the three dimensional region needed as:
[tex]V = \int_0^4V_{dx} = \int_0^1 \dfrac{\pi x^4}{8} dx = \dfrac{\pi}{8} [\dfrac{x^5}{5}]^1_0 = \dfrac{\pi 1^4}{40} = \dfrac{\pi}{40}[/tex] (in cubic units).
Thus, the volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]
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Help me please sjsjdjs it’s due in a few minutes
Answer:
The answer is the 3rd dot.
Step-by-step explanation:
hope this helps
Answer:
The one right below 8
Step-by-step explanation:
Find the values of the variables and the lengths of the sides of the kite.
Answer: since you didnt answer mine.
Step-by-step explanation:
HELP please please please please please
Hello!
This is just a conceptual problem where you'll be converting units.
If her semitrailer is 3.5m high and the bottom of the bridge (how tall the support beam are) is 11ft 9in high, we'll need to convert them into the same units and then compare both values.
Let's convert from inches to meters.
Since there are 12 inches in a feet, we can convert 11 feet into 132 inches, meaning that the bottom of the bridge is at 141 inches.
In 1 meter, there is around 39.37 inches, so we'll be dividing 141 by 39.37, giving us a number of around 3.5814, meaning that the bottom of the bridge is higher than the height of the semitrailer, and her vehicle will fit under the bridge.
Hope this helps!
simplify the expression
[tex] \sqrt[3]{686x {}^{4} } y {}^{7} [/tex]
The expression can be simplified as [tex]7x\sqrt[3]{ 2x} y^7[/tex].
What is an expression?An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.)
A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Given:
The expression = [tex]\sqrt[3]{686x^4} y^7[/tex]
Factorize 686 we get 7³ × 2
= [tex]\sqrt[3]{7^3\times 2x^4} y^7[/tex]
= [tex]7x\sqrt[3]{ 2x} y^7[/tex]
Therefore, the expression can be simplified as [tex]7x\sqrt[3]{ 2x} y^7[/tex].
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