Answer:
EF is 109
DAB is 54.5
Step-by-step explanation:
Applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°What is the Central Angle Theorems?The central angle theorem states that:
Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arcThus:
Measure of minor arc EF = m∠ECF = 109°
m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]
m∠DAB = 54.5°
Therefore, applying the central angle theorem, the correct statement would be:
Measure of minor arc EF = 109°Measure of angle DAB = 54.5°Learn more about central angle theorem on:
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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:
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:
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:
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:
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
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 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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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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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 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.
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
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.
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
When solving a quadratic using factoring, does it matter if the first x solution is on the left or right side? And same for the second x? In the answer
Answer:
it is either way, you can put x on the left side or the right side. Just make sure your signs are correct
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
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
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:
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:
PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
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
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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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:
Triangle ABC is graphed on the coordinate plane, as shown below.
Triangle ABC is dilated by a scale factor of 2 with
a center of dilation at the origin to create triangle
A’B’C’. What are the coordinates of the vertices
of triangle A’B’C’?
Answer:
I believe the answer would be D.
Answer:
D. (4,4), (8,8), (-8,4)
Step-by-step explanation:
We have A (2,2), B(4,4) and C (-4,2)
Dilation by factor of 2: (x,y) => (2x,2y)
A (2,2) => A'(4,4)
B(4,4) => B'(8,4)
C (-4,2) => C'(-8,4)
please answer asap! no scam links or scam comments or reported.
Answer:
(-10,0)
Step-by-step explanation:
y = 3/2 x + 15
To find the x intercept let y =0 and solve for x
0 = 3/2x +15
Subtract 15 from each side
-15 = 3/2x -15+15
-15 = 3/2x
Multiply each side by 2/3
2/3 *-15 = 2/3 * 3/2x
-10 =x
The x intercept is
(-10,0)
Answer: (-10,0)
Step-by-step explanation:
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
What is the area of the regular trapezoid below?
64 cn2,80cm2,240cm2,480cm2
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.
Solve
(Perimeter)
Rectangle
Side- 10
Side- 5
What is the volume of the rectangular prism? A.6/9 B.8/9 C.8/27 D. 6/27
Answer:
the corrct answer is C
Step-by-step explanation:
got it correct