Answer:
x = 28
Step-by-step explanation:
The 2 radii of the circle form an isosceles triangle with base angles congruent, both 59°
The angle at the vertex O is then
180° - (59 + 59)° = 180° - 118° = 62°
The angle between the tangent and the radius is 90°
Then
x = 180 - (90 + 62) ← sum of angles in a triangle
x = 180 - 152 = 28
HELPP!! Simplify sin q + cosq cotq
Answer:
csc(q)
Step-by-step explanation:
You could plug in values for q for the problem and the choices and see which choice gives the same outputs. Of course, that would mean you need to know that cot() is cos()/sin() or 1/tan() and csc()=1/sin()
So anyways you can also use identities to rewrite the given expression
sin(q)+cos(q)cot(q) [given ]
sin(q)+cos(q)cos(q)/sin(q) by quotient identity
sin(q)+cos^2(q)/sin(q) [simplify]
sin(q)sin(q)/sin(q)+cos^2(q)/sin(q) multiply first term by 1
sin^2(q)/sin(q)+cos^2(q)/sin(q) [simplify ]
(sin^2(q)+cos^2(q))/sin(q) [combined fractions ]
1/sin(q) by Pythagorean identity
csc(q) by reciprocal identity
Sam and Alex play Tennis. On the weekend Sam played 8 more games than Alex did, and together they played 24 games. How many games did Alex play? How many games did Sam play? Let a represent the number of games Alex played. Write and solve an equation to determine the number of games Alex and Sam played.
Answer:
Alex played 8 games and Sam played 16.
Step-by-step explanation:
I am unaware of the equation, the answer just makes sense. I apologize.
Solve for x. The triangles in each pair are similar.
A. 14
B. 3
C. 5
D. 12
Answer:
C
Step-by-step explanation:
Who could help me with this please and thank you
Answer:
[tex]y=\frac{1}{5} x-2[/tex]
some body have asked this question I have forgotten the name the question is: the circumference of a circle is 36π cm what is the radius of a circle if any body finds it then please answer him or her
The formula for the area of a circle is given by A = πr², where r is the radius of the circle.
Since we know that area A = 36π, we can substitute into the formula for area A and get:
36π= πr²
Now, dividing both sides by π in order to begin isolating r on one side of the equation, we get:
(36π)/π = (πr²)/π
36(π/π) = (π/π)r²
36(1) = (1)r²
36 = r²
r² = 36 (since equality is symmetric, i.e., if a = b, than b =a)
Now, taking the square root of both sides, we have:
√(r²) = ±√(36)
r = √(36) (since a distance cannot be physically negative, then we have to use the positive square root)
r = 6 (since (6)(6) = 36)
CHECK:
A = 36π
36π= π(6²)
36π = π(36)
36π = 36π
Therefore, r = 6 is indeed the radius of the circle with an area of 36π.
Answer:
The radius of the circle is 6.
Explanation:
Take the square root of 36.
me pueden ayudar en esto por favor
Answer:
2cm: 6.28
4cm: 12.56
6cm: 18.84
8cm: 25.12
10cm: 31.4
12cm: 37.68
Step-by-step explanation:
Find the area of the triangle
Answer:
32 m^2
Step-by-step explanation:
Area = 8 x (2 + 6) x 1/2
Area = 8 x 8 x 1/2
Area = 64 x 1/2
Area = 32
Hope that helps! :)
-Aphrodite
Answer:
32
Step-by-step explanation:
formula for area of a triangle = [tex]A=\frac{bh}{2}[/tex]
where b = base length and h = height
The triangle shown has the following the dimensions
base length = 2 + 6 = 8m
height = 8m
Using these dimensions we plug in the values into the formula
[tex]A=\frac{8*8}{2} \\8*8=64\\\frac{64}{2} =32[/tex]
Hence, the area of the triangle is 32 square meters
Emma is taking a multiple choice test. Her grade is given by the equation
y= 125 – 5x, where y represents her final score and x represents the number of
questions she got wrong. What could the number 125 represent in the equation?
Answer:
The number of questions answered.
Step-by-step explanation:
Number of questions answered minus 5 questions she got wrong equals her final score.
Write an equation modeling the revenue generated: x1 + x2 = 9,000
Answer: Small correction from the bottom one its 35, 22
Step-by-step explanation: Edginuity 2021 just got is right.
Answer:
35 and 22
Step-by-step explanation:
In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?
Answer:
1/8
Hope this helps
A positive number is 5 times another number if 21 is added to both the numbers the one of the new numbers becomes twice the other number. what are the numbers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35
A picture is attached!
Hope it helps!
Brainliest pls!
Follow me! :)
Tiffany and Dion are having a walking race. The equation and graph show the distance each person is from the starting line,
Tiffany's Distance
d = 2.5t, where d is the distance, in yards that Tiffany is from the starting line after t seconds
PLEASE ANSWER A., B. And C.
Answer:
Step-by-step explanation:
Tiffany's distance is defined by the equation,
d = 2.5t
Here, d = distance of Tiffany from the starting line
t = time
a). d = 2.5t
[tex]\frac{d}{t}=2.5[/tex]
Tiffany's rate = 2.5 yards per second
b). Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 10) and (10, 35)
= [tex]\frac{35-10}{10-0}[/tex]
= 2.5 yards per second
Dion's walking rate = 2.5 yards per second
Equation that defines the distance of Dione,
d = mt + b
Here, m = rate of the walking by Dione
b = y-intercept
Hence, equation will be,
d = 2.5t + 10
c). If d = 60 yards
For Tiffany,
d = 2.5t
60 = 2.5t
t = 24 seconds
For Dion,
d = 2.5t + 10
60 = 2.5t + 10
2.5t = 50
t = 20 seconds
Therefore, Dion will take less time and finish first.
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system. How long will it take until there is only 25 mg
of ibuprofen left in the person's system? Show all work and round your answer to
three decimal places.
Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
A computer program found that the line y=3x - 52 is the best line of best fit to represent the temperature outside and the amount of ice cream sold on the beach. If the temperature is predicted to be 70 degrees tomorrow, how much ice cream can they expect to sell?
Answer:
158
Step-by-step explanation:
given x = 70
=> y = 3(70) -52 = 210 -52 = 158
the ice cream they can expect to sell = 158
M+7.9=39 1/2 What is M?
The value of M from the equation; M+7.9=39 1/2 is; 31.6
One variable equationsThe given equation is; M+7.9=39 1/2.
By simplification;
M+7.9=79/2Hence, by cross product;
2M + 15.8 = 792M = 79-15.8M = 63.2/2M = 31.6
Read more on one-variable equations;
https://brainly.com/question/21528555
5y + 32 = -64 find the value of y
Answer:
[tex]y = 19 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day !!!!
~Hi1315~
20 cm
20 cm
20 cm
Find the area of the figure above.
[?] cm2
Answer:
We first ALWAYS have to split the figure apart from each other,
lets split it into a triangle and a square!
Let's find the area of the triangle:
20(height) x 20(base) = 400!
400 x 1/2 (just dividing by 2) = 200!
*Remember* Formula of a triangle is:
B(base) x H(height) x 1/2 (basically dividing by 2)
Now time to find the area of the square!
20 x 20 = 400!
Now let's add both their areas:
400 + 200 = 600!
Step-by-step explanation:
600cm2 is your answer.
The figure has an area of 600 square centimeters.
In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:
[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)
Where:
[tex]A[/tex] - Total area, in square centimeters.[tex]A_{s}[/tex] - Square area, in square centimeters.[tex]A_{t}[/tex] - Triangle area, in square centimeters.By applying area formulas for squares and triangles, we expand (1):
[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)
Where:
[tex]x[/tex] - Side length of the square, in centimeters.[tex]y[/tex] - Height of the two right triangles, in centimeters.If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:
[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]
[tex]A = 600\,cm^{2}[/tex]
The figure has an area of 600 square centimeters.
We kindly invite to check this question on areas: https://brainly.com/question/16418397
In a circle with radius 2.9, an angle measuring 5.6 radians intercepts an arc. Find the length of the arc to the nearest 10th.
Answer:
in order to get answer you will add 2'9+5'6=8'5
Can someone please help me with this?? I would love the help!!
The volume of the geometric figure below is ________ cubic cm.
Answer:
180
Step-by-step explanation:
V= 1/3 B*h ----- (B= area of base) (h= height)
Area of a triangle (base)
1/2 b*h
1/2 (5)(12)
1/2 60
B = 30
H = 18
V= 1/3 30*18
1/3 540
V = 180
Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x2-8x + 6x2
Write the polynomial in standard form then name the polynomal based on its degree and number of terms 2-11x²-8x + 6x²
Answer:
Standard form: -5x²- 8x + 2
name: Quadratic polynomial
Step-by-step explanation:Given polynomial
2-11x²-8x + 6x²
To write this polynomial in standard form,
i. First simplify it
Collect like terms
2 - 11x² + 6x² - 8x
Add the second and fourth terms
2 - 5x² - 8x
ii. Arrange the terms in the polynomial in order of decreasing order of x.
In other words, the term which has the highest order of x is written first followed by the term with the next highest order of x and so on.
In this case, the term with the highest order of x is the second term which is given by -5x² followed by -8x and then 2.
Therefore, the standard form of the given polynomial is
-5x²- 8x + 2
The degree of a polynomial which is in standard form is the order of its first term.
In this case, the order of the first term is 2. This means that the degree of the polynomial is 2.
Since the degree of the polynomial is 2 and it has three terms, this is a quadratic polynomial.
what is the definition of vertical angles
Answer:
each of the pairs of opposite angles made by two intersecting lines.Step-by-step explanation:
Answer:
vertical angles
geometry the pair of equal angles between a pair of intersecting lines; opposite angles Also called: vertically opposite angles
Step-by-step explanation:
Gina drew three small congruent circles
beside one large circle.
2 cm
Based on the diagram, which answer
choice is closest to the area of the large
circle?
F 28.3 cm?
H 18.8 cm?
G 12.6 cm? J 24.4 cm?
7.9B
Answer:
7.9
Step-by-step explanation:
NEED HELP ASAP!!! EASY QUESTION :)
in comparison to 1/3 where would 2/6 be located on a number line
Answer:
The same place as 1/3
Step-by-step explanation:
image for more context
PLZZZ GIVE ME BRAINLIEST
Hiiiooo! Can someone please help ❤️
Answer:
B. √21
Step-by-step explanation:
x^2 = √5 x √5 + 4 x 4
x^2 = 5 + 16
x^2 = 21
x = √21
Hope that helps! :)
-Aphrodite
Answer:
im not entirely sure but the equation for your hypotenuse (x) is [tex]\sqrt 5^{2} * 4^{2}[/tex]
which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse
(i just realized that is completely wrong, sorry)
The cone has a base diameter of 20cm and a slant height of 25 cm.
A circle is drawn around the surface of the cone at a slant height of 10cm above the base.
The curved surface of the cone above the circle is painted grey.
Work out the area of the curved surface of the cone that is not painted grey,
Give your answer as a multiple of
You must show all your working.
Answer:
The area of the cone not painted is approximately 196.35 cm²
Step-by-step explanation:
The question relates to similar shapes;
We have;
The base diameter of the cone, D₁ = 20 cm
The slant height of the cone, l₁ = 25 cm
The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm
Let 'x' represent the diameter of the circle formed by the drawn circle, we have;
By similar triangles, we get;
D₁/l₁ = x/l₂
x = l₂ × D₁/l₁
20/25 = x/15
x = (20/25) × 15 = 12
The curved surface area of the cone, A = π·r·l
The area of the curved surface of the entire cone, A₁ = π·r₁·l₁
r₁ = D₁/2
Therefore, we get, A₁ = π × 20/2 × 25 = 250·π
A₂ = π × 15/2 × 25 = 187.5·π
The area of the cone not painted, A = A₁ - A₂
∴ A = 250·π - 187.5·π = 62.5·π
The area of the cone not painted, A = 62.5·π ≈ 196.35
The area of the cone not painted ≈ 196.35 cm²
Write each as an algebraic expression.
4 cubed
Answer:
4 exponent 3 or if you want the answer it is 64
Step-by-step explanation:
See the image below:)
Can some one help on number 5 and 6 please
Step-by-step explanation:
To find mean-
you add all the #'s together and then (/) them by the amount of the #'s
#5. 8, 2, 3, 5, 7
8+2+3+5+7
10+8+7
10+15
25
25/ 5
5
#6. 4, 1, 6, 3, 6, 4
4+1+6+3+6+4
5+9+10
5+19
24
24/ 6
4
The median is the (middle) you have to put the #'s in order least to greatest
#5. 2, 3, 5, 7, 8
cross one by one on both sides
3, 5, 7,
5
#6. 1, 3, 4, 4, 6, 6
3,4,4,6
4,4
4 (because in the middle of 4 and 4 well is 4) (if you had 5 and 6 left it would be 5.5)
The mode is the # that appear the most often in the set of data.
#5. there is no more because there is one of each # there is none that has 2 or more (N/A)
#6. 1,3, 4, 4, 6, 6
the mode is 4 and 6
because those #'s have 2 or more and they are both at 2 so they are both the mode
for brainiest:):):):):):)