Answer:
First angle = 50, second angle = 26 and the third angle = 104 degrees.
Largest angle is 104 degrees.
Step-by-step explanation:
Let the second angle be x degrees, the the first will be x + 24 and the third is
4x degrees.
x + x+ 24 + 4x = 180
6x = 180 - 24
6x = 156
x = 26
so the other 2 angles are 26 + 24 = 50 and 4*26 = 104 degrees.
Triangle is the polygon with three edges, three vertices and three angle. The total number of degrees in a triangle is always 180 degrees. The value of the largest angle in the given triangle is 104 degrees.
Given-
Let The measure of the second angle is x degrees.
The measure of the first angle is 24 degrees more than the measure of the second angle. Thus first angle is (24+x) degrees.
The third angle is four times the measure of the second angle. Thus the measure of the third angle is 4x.
What is triangle?Triangle is the polygon with three edges, three vertices and three angle. The total number of degrees in a triangle is always 180 degrees.
As we know that the sum of the all the three angle in the triangle is 180 degrees. Therefore,
[tex](24+x)+x+4x=180[/tex]
[tex]6x=124-48[/tex]
[tex]6x=156[/tex]
[tex]x=\dfrac{156}{6}[/tex]
[tex]x=26[/tex]
Hence the the measure of the second angle is 26 degrees. Now The measure of the first angle is 24 degrees more than the measure of the second angle. Thus,
[tex]=24+26[/tex]
[tex]=50[/tex]
Hence measure of the first angle is 50 degrees. Now the third angle is four times the measure of the second angle. Thus,
[tex]=4\times 26=104[/tex]
Hence, the measure of the third angle is 104 degrees.
Thus the value of the largest angle in the given triangle is 104 degrees.
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Which equation is equivalent to: 11r+4=55
A.- 11r=55+4
B.- 11r=55-4
C.- -11r=55-4
D.- -11r=55+4
The equation 11r + 4 = 55 is equivalent to the equation 11r = 55 – 4. Then the correct option is B.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
11r + 4 = 55
Then the equation can be written as
11r = 55 – 4
Then the correct option is B.
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two lines intersecting at a right angle
Answer:
are perpendicular
Step-by-step explanation:
Two lines that intersect and make a right angles are by definition perpendicular
Answer:
C) are perpendicular
Step-by-step explanation:
Perpendicular: a straight line at an angle of 90° to a given line, plane, or surface.
A line passes through the points (9, 30) and (18, 30). Which statement is true about the line?
Answer:
the line is horizontal
Step-by-step explanation:
Note the y- coordinates of the 2 points the line passes through are equal.
This indicates that the line is horizontal and parallel to the x- axis
The equation of a horizontal line is y = c
where c is the value of the y- coordinates the line passes through.
Here the y- coordinates are 30, hence
Equation of horizontal line is y = 30
Answer:
It has a slope of zero because the change in the y-values is 0.
Step-by-step explanation:
What is the area, in square units, of the parallelogram shown below? A parallelogram ABCD is shown with a height of 6 units and base 4 units.
12 square units 18 square units 24 square units 36 square units
Answer:
The correct option is 24 square units.
Step-by-step explanation:
Given data:
Base= 4units
height = 6 units
Area = ?
Now substitute the values in the formula:
Area= base * height
Area= 4*6
Area= 24 square units
Thus the correct option is 24 square units....
Answer:
I am a little late but its 24
Step-by-step explanation:
4*6 = 24
Twenty one-slips of paper are each marked with a different letter of the alphabet and placed in a basket. A slip is pulled out, it’s letter recorded and the slip is replaced. This is done 6 times. Find the probability that the word riddle is formed. Assume that each letter in the word is also in the basket
Answer:
0.095
Step-by-step explanation:
the probability of getting the word riddle is 0.095.
I'm sorry if the answer is wrong.... I'm not that good at maths either but I wanted to help :)
A customer is tiling a shower, the main, back wall of which is 6' by 4'.
The tile they want to use is 3" x 6", which comes 20 pieces to a box.
How many pieces of this tile do they need for this project? (No Waste)
Answer:
a lot
Step-by-step explanation:
Answer:
192 pieces of tiles will be required.
Step-by-step explanation:
A customer is tiling a shower's back wall which is in the dimensions of 6' by 4'
This area of the wall is = 6 × 4 square feet = 24 feet²
Customer wants to cover this wall with the tiles measuring 3" by 6" or 3 inches by 6 inches.
Now we will convert these dimensions of the tiles in foot.
Since 12 inches = 1 foot
Therefore, 1 inch = [tex]\frac{1}{12}[/tex] foot
Dimensions of one tile in foot will be [tex]\frac{3}{12}[/tex] foot by [tex]\frac{6}{12}[/tex] foot.
In simplified form, dimensions of the tile is [tex]\frac{1}{4}[/tex] foot by [tex]\frac{1}{2}[/tex] foot.
Area of one tile = [tex]\frac{1}{4}\times \frac{1}{2}=\frac{1}{8}[/tex] square feet
Number of tiles = [tex]\frac{\text{Area of the wall}}{\text{Area of one tile}}[/tex]
= [tex]\frac{24}{\frac{1}{8}}[/tex]
= 24×8
= 192 tiles
Therefore, 192 pieces of tiles will be required.
Solve the equation 2x² + 2x + 12 = 3x² – x + 2.
A. x = –5, x = –2
B. x = 2, x = –5
C. x = 2, x = 5
D. x = –2, x = 5
Answer:
D: x = -2, x = 5
Step-by-step explanation:
To solve for a variable, you first have to isolate it on one side of the equation. Remember that whatever you do to one side, you also have to do to the other.
2x² + 2x + 12 = 3x² - x + 2 Subtract 2x² from both sides
2x + 12 = x² - x + 2 Subtract 2x from both sides
12 = x² - 3x + 2 Subtract 12 from both sides
0 = x² - 3x - 10 Using factoring, split this into two expressions
0 = (x - 5) (x + 2) Set each expression equal to 0
x - 5 = 0 and x + 2 = 0 Solve each expression
x = 5 and x = -2
Now, you can plug in both answers to check your work
2x² + 2x + 12 = 3x² - x + 2 Plug in 5
2(5)² + 2(5) + 12 = 3(5)² - 5 + 2 Simplify
2(25) + 10 + 12 = 3(25) - 5 + 2 Simplify some more
50 + 10 + 12 = 75 - 5 + 2 Simplify one more time
72 = 72 It works!
2x² + 2x + 12 = 3x² - x + 2 Plug in -2
2(-2)² +2(-2) + 12 = 3(-2)² -(-2) + 2 Simplify
2(4) - 4 + 12 = 3(4) + 2 + 2 Simplify again
8 - 4 + 12 = 12 + 2 + 2 Simplify one more time
16 = 16 It also works!
How many points of intersection are there between line A and line B if they contain the points listed? Line A: (2, 8) and (–2, –4) Line B: (4, 10) and (–3, –11)
Answer:
No intersection
Zero intersections
Step-by-step explanation:
Let's determine the slope first.
If the slopes are different, then there is one solution.
If the slopes are the same, there are 2 possibilities. The first possibility is that there is no solutions because the lines are parallel. The second possibility is that there is infinitely many solutions because they are the same line. When I say solution, I'm also referring to intersection.
So I'm going to find the slope by lining up the points and subtracting vertically then putting 2nd difference over 1st difference.
Let's do that for line A:
( 2 , 8)
- ( -2 , -4)
---------------
4 12
So the slope is 12/4 or just 3.
Let's do this for line B now:
( 4 , 10)
- ( -3 , -11)
-------------------
7 21
So the slope is 21/7 or just 3.
So we have more work now. The lines either are the same or parallel.
We are going to use this to determine if they same or parallel, we are going to find the slope-intercept form of the equation for both lines.
That is y=mx+b where m is slope and b is y-intercept.
Let's look at line A:
y=mx+b with m=3 and a point (x,y)=(2,8)
8=3(2)+b
8=6+b
2=b
So the line is y=3x+2
Let's look at line B.
y=mx+b with m=3 and a point (x,y)=(4,10)
10=3(4)+b
10=12+b
-2=b
The equation of this line is y=3x-2
So the lines y=3x+2 and y=3x-2 are not the same, they are parallel which means they intersect zero times.
Answer:
Zero
Step-by-step explanation:
How many points of intersection are there between line A and line B if they contain the points listed?
Line A: (2, 8) and (–2, –4)
Line B: (4, 10) and (–3, –11)
Can someone please explain how this answer was produced?
Answer:
Step-by-step explanation:
First, we know that the sin function is odd which means:
sin(-x) = -sin(x).
Secondly evaluating an inverse trigonometric function with a normal trigonometric function as the argument can be rewritten as an algebraic expression.
Let [tex]t = \sin(-\frac{11\pi}{4}) = - \sin(\frac{11\pi}{4})[/tex]
We know the certain identity.
[tex]\sin(\theta) = \sin(2\pi + \theta)[/tex]
We use it to evaluate sin(11 pi / 4).
[tex]\sin(\frac{11 \pi}{4}) = \sin({\frac{8\pi}{4} + \frac{3 \pi}{4}}) = \sin(2\pi + \frac{3 \pi}{4}) = \sin(\frac{3\pi}{4})[/tex]
Another helping identity is the following:
[tex]\sin(\theta) = \sin(\pi - \theta)[/tex]
[tex]\sin(\frac{3\pi}{4}) = \sin(\pi - \frac{3\pi}{4}) = \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}[/tex]
But let's not forget that t = -sin(11 pi/4) = - sqrt(2) / 2
Now we end up with the following equation.
[tex]\cos^{-1}(-\frac{\sqrt{2}}{2}) = x\\\cos(x) = -\frac{\sqrt{2}}{2} => x = \frac{3\pi}{4}[/tex]
how to create an equation with infinitely many solutions.
Answer:
4 x + 5 = 2 x + 2 x + 5
Step-by-step explanation:
If we simplify the following equation it will be 4 x + 5 = 4 x + 5. This equation has infinitely many solutions because every value for x we substitute in, it will be the same on both sides, for example
Substitute x = 7 into 4 x + 5 = 4 x + 5
4 × ( 7 ) + 5 = 4 × ( 7 ) + 5
28 + 5 = 28 + 5
33 = 33
Every x value that we substitute in will result in the equation having the same result on both sides
Y=-3x+4. What is the y intercept?
Answer:
4
Step-by-step explanation:
The equation is in the form
y= mx+b
where m is the slope and b is the y intercept
y = -3x +4
-3 is the slope and 4 is the y intercept
Answer:
y intercept is 4
Step-by-step explanation:
When you are finding the Y intercept, you need to pretend that x=0. Cover up the x and you would find the y-intercept which is 4
if it is wrong, let me know and I will fix it
hope this helps!
What is the length of the unknown leg in the right triangle?
6 mm
8 mm
78 mm
134 mm
Answer:
6 mmStep-by-step explanation:
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have:
[tex]leg=7\ mm,\ leg=a,\ hypotenuse=\sqrt{85}\ mm[/tex]
Substiute:
[tex]7^2+a^2=(\sqrt{85})^2[/tex] use (√a)² = a for a ≥ 0
[tex]49+a^2=85[/tex] subtract 49 from both sides
[tex]a^2=36\to a=\sqrt{36}\\\\a=6\ mm[/tex]
Answer:
A. 6mm
Step-by-step explanation:
Using the Pythagorean Theorem, which is a^2 + b^2 = c^2, the c is always the hypotenuse so the problem would be: a^2 + 7^2 = square root of 85 squared. square root of 85 squared is just 85. 7^2 is 49. 85 - 49=36. square root of 36 is 6... If you liked this answer then mark me as brainliest.
Sin(x) = 1/7
A.3.2
B.8.2
C.12.4
D.14.3
Answer: B
Step-by-step explanation: If you use inverse sin, then you can take sin^-1(1/7) and get 8.2. To check this, do sin(8.2) and it comes out to 1/7
Which of the following is an element in the sample space for first rolling a die and then tossing a coin? A. H7 B. TH C. 56 D. 5H
The sample space encompasses all of the potential outcomes of an event. The correct option is D, 5H.
What is sample space?The sample space encompasses all of the potential outcomes of an event. Sometimes determining the sample space is simple. For example, if you roll a die, six different outcomes are possible. You may get a 1, 2, 3, 4, 5, or 6 on the dice.
Since the sample space for rolling dice is 1, 2,3, 4, 5, and 6. While the sample space for tossing coins is H and T. Thus, the sample space for first rolling a die and then tossing a coin is,
1H2H3H4H5H6H1T2T3T4T5T6TAs it can be seen that the only option that is in the sample space is 5H.
The correct option is 5H.
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Assume red and green are equally likely occurrences. Using Pascal’s triangle, what is the probability that you will get one green light in a row of five lights? a. 3/16 b. 1/32 c. 5/16 d. 5/32
Answer:
5/32.
Step-by-step explanation:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
As there are 5 lights we need the last row in the above Pascals triangle.
And there is 1 red and 4 green ( = 5) and it can happen in 5 ways, so that gives us the second term in the last row . The total in that last row = 1+5+10+10+5+1 = 32.
so the probability is 5/32.
Find the value of x rounded to the nearest degree
Answer:
b 44 degrees
Step-by-step explanation:
cos x = adjacent side / hypotenuse
cos x = 15/21
cos x = 5/7
Take the inverse cos of each side
cos ^-1 (cos (x) )= cos ^-1 (5/7)
x =44.4153086
To the nearest degree
x = 44 degrees
Answer:
The correct answer is option(b). 44°
Step-by-step explanation:
From the figure we can see a right angled triangle with one angle is x° and two sides are given.
To find the value of x
From the given figure we get the adjacent side of angle is given
Therefore we can write,
Cos x = Adjacent side/Hypotenuse
= 15/21
= 0.7142
x = Cos ⁻¹ (0.7142)
= 44°
Therefore the value of x = 44°
The correct answer is option(b). 44°
find the values of the six trigonometric functions for angle Ѳ, when PQ=48 and QR=64
Answer:
Here's what I get
Step-by-step explanation:
∆PQR is a right triangle.
PR² = PQ² + QR² = 48² + 64² = 2304 + 4096 = 6400
PR = √6400 = 80
PQ:QR:PR = 48:64:80 = 3:4:5
We can consider ∆PQR as a 3:4:5 triangle.
[tex]\sin \theta = \dfrac{4}{5} \\\\\cos \theta = \dfrac{3}{5}\\\\\tan \theta = \dfrac{4}{3}\\\\\cot \theta = \dfrac{3}{4} \\\\\csc \theta = \dfrac{5}{4}\\\\\sec \theta = \dfrac{5}{3}[/tex]
Answer:
The formula used for Pythagoras Theorem.
(Hypotenuse)² = (Base)² + (Perpendicular)²
We have
PQ = 48, QR = 64 and PR = ?
⇒ (PR)² = (PQ)² + (QR)²
⇒ (PR)² = (48)² + (64)²
⇒ (PR)² = 2304 - 4096 = 64 00
⇒ PR = 80
The six trigonometric functions we have are:
sine = sin θ = Perpendicular ÷ hypotenuse = PQ ÷ PR = 48 ÷ 80 = 0.6cosine = cos θ = Base ÷ hypotenuse = QR ÷ PR = 64 ÷ 80 = 0.8tangent = tan θ = Perpendicular ÷ Base = PQ ÷ QR = 48 ÷ 64 = 0.75cosecant = cosec θ = hypotenuse ÷ Perpendicular = PR ÷ PQ = 80 ÷ 48 = 1.67 secant = sec θ = hypotenuse ÷ Base = PR ÷ QR = 80 ÷ 64 = 1.25cotangent = cot θ = Base ÷ Perpendicular = QR ÷ PQ = 64 ÷ 48 = 1.34solve the equation below x
cx -4=7
A x=11/C
B x=3/C
C x= c/3
D x= c/11
Answer:
A
Step-by-step explanation:
Given
cx - 4 = 7 ( isolate the term in x by adding 4 to both sides )
cx = 11 ( divide both sides by c )
x = [tex]\frac{11}{c}[/tex] → A
An ellipse is represented using the equation . Where are the foci of the ellipse located? Check all that apply.
(−29, 7)
(19, 7)
(−21, 7)
(13, 7)
(−5, −17)
(−5, 31)
Answer:
(−29, 7) CORRECT
(19, 7) CORRECT
(−21, 7)
(13, 7)
(−5, −17)
(−5, 31)
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Just got it right
REALLY EASY NEED ANSWER BY 10:00 P. M. AND WILL GIVE BRAINLEIST. PLS HURRY IF YOU HAVE TIME PLEASE ANSWER OTHER QUESTIONS PLS THANK YOU.
Answer:
no
Step-by-step explanation:
it asks if the given value is a solution of the inequality, but I'm pretty sure it's not
The graph of which equation has the same slope as the graph of y = 4x + 2
A. y = -2x + 3
B. y = 2x - 3
C. y = -4x + 2
D. y = 4x - 2
Please include a detailed explanation thank you
Answer:
D.
Step-by-step explanation:
The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.
The slope of y=4x+2 is 4.
Let's look at the choices:
A) The slope of y=-2x+3 is -2.
B) The slope of y=2x-3 is 2.
C) The slope of y=-4x+2 is -4.
D) The slope of y=4x-2 is 4.
So we are looking for a line that has the same slope as the given line which is 4.
The answer is D.
Answer:
D.
Y = mx + b is the equation for a straight line. "B" is called the y intercept. "M" is the value of the slope of the line. "X" is the value where the line intercepts the x axis.
so the reason the awnser is D is because the M=4 in both equations, meaning that they have the same slope
What is the volume of a right circular cylinder with a radius of 6 and a height of 9
Answer:
V = 1017.88
Step-by-step explanation:
The volume of a right circular cylinder with a radius of 6 and a height of 9 is 1017.88.
V=πr2h=π·62·9≈1017.87602
A 5inch x 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?
4x+12
8x+24
2x^2+24
4x^2+24x+35
Answer:
8x + 24
Step-by-step explanation:
Given photograph length L = 7" and width W = 5"
Also that the frame is 2x" longer and 2x" wider
hence,
new length = ( 7 + 2x) inches
new width= ( 5 + 2x) inches
Hence perimeter of frame,
= 2 x ( new length + new width)
= 2 [( 7 + 2x) + ( 5 + 2x)]
= 2 (4x + 12)
= 8x + 24 (Answer)
If f(x) = [tex]x^{2} -2^x,[/tex] what is the value of f(3) ?
PLEASE HELP! WILL PUT BRAINLIESTT!
Answer:
f(3) = 1
Step-by-step explanation:
f(x) = x² - 2ˣ
You are solving for f(3). Plug in 3 for x in the equation:
f(3) = (3)² - (2)³
Simplify. First, simplify each number by solving the powers, then subtract:
f(3) = (3 * 3) - (2 * 2 * 2)
f(3) = (9) - (8)
f(3) = 9 - 8
f(3) = 1
f(3) = 1 is your answer.
~
Please Help Keep getting 6.4
Answer:
r = 3
Step-by-step explanation:
x^2 + 6x + y^2 - 8y = - 16
Take half the linear term and square it.
x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16
Add the squared amounts to the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16
Combine on the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = 9
Represent the 2 quadratics as perfect squares.
(x + 3)^2 + y - 4)^2 = 9
The radius is the square root of 9 which is 3
Answer:
radius=3
Step-by-step explanation:
Given:
x^2 +6x +y^2 - 8y=-16
completing the squares
: x^2 +6x +9 = (x+3)^2
:y^2-8y+16 = (y-4)^2
(x+3)^2 + (y-4)^2 -9-16=-16
(x+3)^2 + (y-4)^2=-16+9+16
(x+3)^2 + (y-4)^2=9
Now comparing with standard equation of circle i.e. (x-h)^2 + (y-k)^2=r^2, we get
origin(h,k)= (-3,4)
r=3 !
Ms. Ramos buys a rare painting for m dollars. She sells it for 5 times the amount she paid for it, or 5m. Her profit is
5m-m
She purchases another painting using half of the profit from the sale. Which expression represents how much MS
Ramos paid for the second painting?
•4m+2. •5m+2. •5m/2. •4m/2
Answer:
(D) 4m/2
Step-by-step explanation:
took test
Which of the following is an equation of a
line whose slope is 0?
(1) y = 6
(2) x = 6
(3) y = 2x
(4) x + y = 1
Please helpp!!! Stuckk
Answer:
(1) y= 6Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
If the slope m = 0, then an equation in form y = 0x + b → y = b it's a horizontal line with a slope equal to 0.
the area of triangle ABC is 95 square feet. What is the value of b, to the nearest foot?
A) 7 ft
B) 8 ft
C) 13 ft
D) 16 ft
Answer:
D
Step-by-step explanation:
The area (A) of a triangle is calculated using
A = 0.5 absinC
Here a = 13 and ∠C = 65°, hence
A = 0.5 × 13 × b × sin65° = 95, that is
6.5b × sin65° = 95 ( divide both sides by 6.5sin65° )
b = [tex]\frac{95}{6.5sin65}[/tex] ≈ 16 ft ( to the nearest foot )
Given the area of 95 square feet and side AC of 13 feet, the value of side b, opposite the 65° angle, is 7 feet rounded to the nearest foot. Thus, the correct option is A.
From the image, we see that triangle ABC is a right triangle with a right angle at C. We are given that the area of the triangle is 95 square feet and that the length of side AC is 13 feet. We want to find the length of side b, which is opposite the 65° angle.
To find the area of a right triangle, we use the formula:
Area = (1/2) * base * height
In this case, the base is side b and the height is side AC. We are given that the area is 95 square feet and that AC is 13 feet, so we can plug these values into the formula to solve for b:
95 = (1/2) * b * 13
b = 95 * 2 / 13
b = 7.3 feet
Since we are asked to round the answer to the nearest foot, we round 7.3 feet up to 7 feet.
Therefore, the value of b, to the nearest foot, is 7 ft.
If A = (7,9) and B = (3, 12), what is the length of AB?
A. 4 units
B. 5 units
c. 7 units
D. 6 units
Answer:
B. 5 units
Step-by-step explanation:
[tex]\tt |AB|=\sqrt{(3-7)^2+(12-9)^2}=\sqrt{16+9}=\sqrt{25}=5 \ \ units[/tex]
The length of AB is 5 units.
What is length?Length is defined as the measurement or extent of something from end to end.
In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
Given that there are two points A = (7,9) and B = (3, 12),
So, we need to find the distance between them,
We know that the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by,
D = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
D = [tex]\sqrt{(3-7)^2 + (9-12)^2}[/tex]
D = [tex]\sqrt{4^2+3^2}[/tex]
D = 5
Hence the length of AB is 5 units.
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Choose the inverse of y=X2-2
Answer:
26
Step-by-step explanation:
For this case we must find the inverse of the following function:
[tex]y = x ^ 2-2[/tex]
We exchange the variables:
[tex]x = y ^ 2-2[/tex]
We clear the variable "y":
Adding 2 to both sides we have:
[tex]x + 2 = y ^ 2[/tex]
Applying square root on both sides of the equation:
[tex]y = \pm \sqrt {x + 2}[/tex]
We change y by [tex]f ^ {- 1} (x)[/tex]:[tex]f ^ {- 1} (x) =\pm \sqrt {x + 2}[/tex]
Answer:
[tex]f ^ {- 1} (x) = \pm\sqrt {x + 2}[/tex]