Answer:
m∠OPT = 32°
Step-by-step explanation:
From the picture attached,
m∠OTP = 90°
[Property: Tangent from a point outside the circle and radius of the circle are perpendicular]
QT║OP [Given]
OT is a transversal line,
Therefore, m∠QTO = m∠TOP = 58° [Interior alternate angles]
By applying triangle sum theorem in ΔTPO,
m∠OPT + m∠TOP + m∠OTP = 180°
m∠OPT + 90° + 58° = 180°
m∠OPT = 180° - 148°
m∠OPT = 32°
a solid shape with two flat surfaces and one curved surface
Answer:
cylinder
Step-by-step explanation:
Determine the distance across the lake, d.
What is mZMHJ?
O 35°
O 50°
O 72.5°
O 92.5°
Answer:
Your answer is
∠MHJ = 50°
Mark my answer as brainlist . I need that urgently . Folow me for more answer.
Step-by-step explanation:
The measure of angle ∠MHJ is 35.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
From the figure,
We can see that,
(2x - 20) and (x + 15) are opposite angles.
So,
2x - 20 = x + 15
2x - x = 15 + 20
x = 35
Thus,
The measure of angle ∠MHJ is 35.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ7
Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain
Answer:
where's the question??
Step-by-step explanation:
Daniel picked out a book to give his dad for his birthday. Daniel only has 63cents from his piggy bank. His mom said she would pay the rest. She paid$12.81. What was the cost of the book?
Answer:
$13.44
Step-by-step explanation:
Daniel's money + Mom's money = $12.81 + $0.63
That is $13.44.
Hope that helps!
An open box is to be made by using a piece of sheet metal with the dimensions of 4m by 2m. Determine the dimensions the box should be to maximize volume by cutting out the four corners of the material and folding up the edges to make the box. The material that is cut out is waste and cannot be used.
Answer:
Dimensions: 0.4 by 3.2 by 1.2
Step-by-step explanation:
I'm assuming here that we are cutting out squares out of each of the metal's corners:
Let x = the length of each cut-out square,
Each base (of the desired net square folded) is 4-2x, and 2-2x respectively,
Volume = x(4-2x)(2-2x)
= 4x^3 - 12x + 8x
Now we take the derivative:
[tex]\frac{d}{dx}\left[4x^3-12x^2+8x\right]\\\\= \frac{d}{dx}\left(4x^3\right)-\frac{d}{dx}\left(12x^2\right)+\frac{d}{dx}\left(8x\right)\\\\= 12x^2-24x+8[/tex]
We equate to 0 (0 for max volume), and solve using the quadratic formula:
[tex]12x^2-24x+8=0,\\\\x_{1,\:2}=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:12\cdot \:8}}{2\cdot \:12}\\\\= \frac{-\left(-24\right)\pm \:8\sqrt{3}}{2\cdot \:12}\\\\\mathrm{Separate\:the\:solutions}:\\\\x_1=\frac{-\left(-24\right)+8\sqrt{3}}{2\cdot \:12},\:x_2=\frac{-\left(-24\right)-8\sqrt{3}}{2\cdot \:12}\\\\x =\frac{3+\sqrt{3}}{3},\:x=\frac{3-\sqrt{3}}{3}\\\\x=1.57735\dots ,\:x=0.42264\dots[/tex]
So we approximate the side lengths to be 1.6 and 0.4 respectively. But when we plug in 1.6 for x, we get the volume as negative. Therefore x has to be 0.4.
Side lengths: 0.4, 4-2(0.4) => 3.2, 2-2(0.4) => 1.2
What is the value of h? g = -7.1 h = 3 - 10g
Answer:
74
Step-by-step explanation:
Please separate the two functions:
g = -7.1
h = 3 - 10g
Substitute -7.1 for g in h = 3 - 10g:
h = 3 - 10(-7.1) = 71 + 3 = 74
please help me I really need help
Answer:
Step-by-step explanation:
the volume of this prism is equal to
V=l*w*h
V=(x+1)(x)(x-3)
multiply
V=x^3-2x^2-3x
it is your first choice
Answer:
Step-by-step explanation:
[tex]V=LWH\\ \\ V=x(x+1)(x-3)\\ \\ V=x(x^2-2x-3)\\ \\ V=x^3-2x^2-3x[/tex]
Find the radius of the sphere. Use 3.14 for
V= 113.04
Answer:
square root of pie represent the triangularity of the polverinizing sphere which is V=12.^7aN(f>82
Becky is meeting her friend at the library at 12:45 p.m. It takes her 25 minutes to get to the library. What time will she need to leave her house to arrive on time?
Answer:
Becky must leave at 12:20pm to arrive on time
Step-by-step explanation:
12:45-25=12:20
A box can at most be packed with 50 eggs. If there are
currently 20 eggs already. How many eggs can be added at
most?
____ eggs
Answer:
30
Step-by-step explanation:
y varies directly as x and z. Y is equal to 16 when x=2 and z=4,find Y when x=1 and z=7
Answer:
here's one way: z^x = Y, 7^1 = 7
Y = 7
Step-by-step explanation:
a framer sells 16 pounds or his small 48 pound potato crops what percent does he sell
Answer:
Is it 32
Step-by-step explanation:
I think your suppose to subtract if you get it wrong i'm sorry
Answer:
33.3333333% (with the 3 repeating forever)
Step-by-step explanation:
If they sell 16 pounds/48 pounds, you can first simplify this fraction:
16/48 = 1/3.
Then, you do 1 divided by 3 and you would get 0.33333...
As a percent, this is 33.3% (where the 3 is repeating forever)
what’s the sum (3x – 5) + (-4x + 1)
Answer:
−x−4
Step-by-step explanation:
Answer:
o find the inverse, interchange the variables and solve for
y
.
f
−
1
(
x
)
=
x
7
+
4
7
Step-by-step explanation:
how do i figure out the answer
Answer:
Refer to the attachment and Thank you for asking:)Answer:
a2-14=-5a is a=2, a=-7
Step-by-step explanation:
Add 5a to both sides a[tex]x^{2}[/tex]-14+5a= -5a+5a
Simplify a[tex]x^{2}[/tex]+5a-14=0
after we solve with the quadratic formula we get -7
Is that right? Is x equal to 6?
Answer:
x=4
Step-by-step explanation:
It can't be x=6 because 15x6 is 90 and that doesn't allow for the 8x-2. The bottom half has to equal 180 because it's a straight line. So, 18x4=60. Then 8(4)-2 equals 30. 30+60=90. 90+90 equals 180.
Evaluate the expression.
(−1/12)^2
I'm so st00pid LOL
Answer:
1/144 (decimal: 0.0069 4) the four is repeating.
Step-by-step explanation:
2-2<4-5=1 hope this helps :D
Which expression has a value of 35 when p = 7?
Answer:
B) 5p
Step-by-step explanation:
If you substitute 7 in for each equation you will see that the answers are either 7, 38, or 32, which are not 35. But when you substitute 7 in for B, 5(7), and multiply it out you get 35. I hope this helps :)
1/3 a = -5 whats the answer quick
Answer:
a=-15
Step-by-step explanation:
Answer:
A= -15
Step-by-step explanation:
which images shows a reflection
I'll Give You Some Hints:
Let's Look at C.
In C, the triangle is translated 2 units to the right. Which means that it cannot be a reflection.
Let's Look at B.
In B there is a sideways triangle. That means it's a Rotation. Which means it's not Reflected.
Lastly, Let's Look at A.
To get from the original triangle to the triangle in A, you have to reflect twice. Once along a vertical line, and then along a horizontal line.
This Information Should Help You
a group of friends decided to share 4 chocolate bars, if each friend only ate 2/3 of a chocolate bar, how many friends shared the chocolate bars?
Answer:
6 friends
Step-by-step explanation:
LMNP is a rectangle. find the value of x and the length of each diagonal LN = 7 and MP = 4x + 3
Answer:
x=1
Diagonals are both 7
Step-by-step explanation:
Diagonals of a rectangle are both equal
So ...
4x + 3 = 7
4x = 4
x = 1
Simplify 5-2 x 55 x 5.
Hello! Your answer is:
5-2*55*5 = -545
Answer:
5-500x^2
Step-by-step explanation:
someone answer this please
Answer:
3/-4
I'm not sure about answer....
Answer:
I'm pretty sure the answer is -4 ≤ x ≤ 3
Step-by-step explanation:
y-4=3(x+2) in slope intercept form step by step
Answer: y = 3x + 10
Step-by-step explanation:
y - 4 = 3(x + 2)
=> y -4 = 3x + 6
=> y = 3x + 10
The width of a circular track is 2 meters. If the radius of the outer circle is 6 meters, find the area of the track.
Answer:
[tex] 62.8 \: {m}^{2} [/tex]
Step-by-step explanation:
Radius of outer circle = 6 m
Width of the track = 2 m
So, radius of inner circle = 6 - 2 = 4 m
Area of the track = Area of outer circle - Area of inner circle
[tex] = \pi {6}^{2} - \pi {4}^{2} \\ \\ = \pi( {6}^{2} - {4}^{2} ) \\ \\ = 3.14 \times (36 - 16) \\ \\ = 3.14 \times 20 \\ \\ = 62.8 \: {m}^{2} [/tex]
LCM of 10, 12 and 15
Answer:
60
Step-by-step explanation:
ellus
8
Which constant number would
you add to both sides of the
equation in order to complete
the square for the quadratic
function 1 = x2 – 3x?
Give your answer as a fraction in simplest form.
[?]
[]
HINT: Use ()?
Enter
9514 1404 393
Answer:
2.25
Step-by-step explanation:
Add the square of half the x-coefficient to complete the square.
(-3/2)² = 9/4 = 2.25
câte numere de forma xy2t sunt divizibile cu 5
a. 200
b. 190
c. 162
d. 180
Answer:
câte numere de forma xy2t sunt divizibile cu 5
a. 200
I'm not sure about answer...
hey... what's
[tex](a {}^{2} - b {}^{2} ) = [/tex]
Answer:
[tex](a^{2} - b^{2} ) = (a + b)(a - b)[/tex]
Step-by-step explanation:
This is the Difference of Squares: [tex](a^{2} - b^{2} ) = (a + b)(a - b)[/tex].
Hope it helps!
it is (a + b) ( a - b )
hope it helps