Answers
Answer:
[tex]\angle CAD = 20^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle CBD = 20^\circ[/tex]
Required
Determine the measure of [tex]\angle CAD[/tex]
To calculate CAD, we have:
[tex]\angle CAD = \angle CBD[/tex] --- angle in the same segment
Hence:
[tex]\angle CAD = 20^\circ[/tex]
Related Questions
A line has a slope of 8 and a y -intercept of 5. What is its equation in slope -intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
Step-by-step explanation:it’s abc
4. Two cylinders have dimensions in the ratio of 2:3. The smaller cylinder has a surface area of 16 cm.
What is the surface area of the larger cylinder?
Answers
Answer:
(cross multiply)
2:3
16:X
2X=16×3
2x=48
x=48÷2
x=24
Katie bought 2 blocks of cheese and 3 loaves of bread for $12.00. Jenny bought 4 blocks of cheese and 2 loaves of bread for $ 16.00. How much does each block of cheese cost? How much does each loaf of bread cost?
Answers
Answer:
cheese = $3 load of bread = $2
Step-by-step explanation:
to check:
2c + 3b = 12
2(3) + 3(3) = 12
6+6=12
Two sprinters, Victor and Aaron, want to find out who has the faster time when compared to each of their teams. Victor has a time of 10.9 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.2 seconds. Aaron has a time of 10.6 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams
Answers
Answer:
The answer is "-9".
Step-by-step explanation:
[tex]\mu = 11.4\\\\\sigma = 0.2\\\\ x = 10.9\\\\[/tex]
[tex]P(X <= 10.9)=?[/tex]
The z-value is determined using the central boundary theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.9 - 11.4)}{0.2}\\\\ = -2.5[/tex]
Calculating the value for Aaron
[tex]\mu = 11.5\\\\ \sigma = 0.1\\\\ x = 10.6\\\\ P(X <= 10.6)=?[/tex]
When the z-value is calculated using Central Limit Theorem
[tex]z = \frac{(x - \mu)}{\sigma}[/tex]
[tex]= \frac{(10.6 - 11.5)}{0.1}\\\\ = -9[/tex]
Answer:
The times are equal when compared to each of their teams.
Step-by-step explanation:
6. Given h(x) =12+x2 find h(-5)
Answers
Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation
Answers
Answer:
14800
Step-by-step explanation:
Area of trapezoid = [tex]A=\frac{a+b}{2}h[/tex]
Using the formula above, our equation will look like this:
[tex]\frac{145 + 225}{2} * 80 = 14800[/tex]
145 + 225 = 370
370/2 = 185
185 * 80 = 14800
PLZ GIVE BRAINLIEST
A rectangular parking lot has a perimeter of 88 meters. The length of the parking lot is three times the width. Find the length and the width.
Answers
Answer:
Length = 33 m
Width = 11 m
Step-by-step explanation:
l = 3w
2l + 2w = 88
l + w =44
Subsitiute for l
3w + w = 44
4w = 44
w = 11
l = 3(11)
l = 33
Plz help me What is the x-coordinate of the point (6, 8)?
Answers
Answer:
6
Step-by-step explanation:
(X,Y)
Solve the following equation by elimination method
2x + y = 25
3x – 2y = 20
Answers
Answer:
First multiply the first equation by 2
2(2x + y = 25)
You'll have
4x + 2y = 50
Rewrite both equations
4x + 2y = 50
3x - 2y= 20
Add from the first equation you'll get
7x = 70... X = 10
Substitute x in one of the equations:
3(10) - 2y = 20
30 - 2y = 20
-2y = -10
y = 5
You earned $1600 in interest in your savings account over 10 years at a rate of 8%. How much money did you originally deposit into your savings account?
Answers
A = p(1+r)^t
1600 = p(1+0.08)¹⁰
P = 1600/2.1589
P= 741.12
741.12 dollar money did you originally deposit into your savings account!
If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area of Cone B? 21 in 35 in Cone B Cone A
Answers
Answer: the answer is 25:9
Step-by-step:
there’s no explanation i just did the assignment and guessed
(i’m sorry for no explanation just trust me that the answer is 25:9)
Order the steps for solving this equation using the quadratic formula
X^2 + 3x - 4 = 0
Answers
Answer:
Step-by-step explanation:
The steps required to solve the given equation is required.
First step: Identify a = 1, b = 3 and c = -4
Second step: [tex]x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}[/tex]
Last step: x = 1 and x = -4
Quadratic equationThe given equation is
[tex]x^2+3x-4=0[/tex]
Comparing with the general quadratic equation [tex]ax^2+bx+c=0[/tex] we have
a = 1
b = 3
c = -4
Applying the formula
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\Rightarrow x=\dfrac{-3\pm \sqrt{3^2-4\times 1\left(-4\right)}}{2\times1}\\\Rightarrow x=1\ \text{and}\ -4[/tex]
Learn more about solving quadratic equations:
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SOCCER Alice kicks a soccer ball towards a wall. The ball is deflected off the wall at an angle of 40°,
and it travels 6 meters. How far is the soccer ball from the wall when it stops rolling?
Answers
Answer:
The ball is 3.86 meters from the wall when it stops rolling.
Step-by-step explanation:
Representation of the situation:
This situation can be represented by a right triangle:
The hypotenuse is the distance the ball traveled, of 6 meters.
The distance from the wall is the side opposite to the angle of 40º.
We have that:
Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.
Sine of 40 degrees = Distance from the wall/6
Sine of 40 degrees is of 0.64278760968.
Distance = 6*0.64278760968 = 3.86.
The ball is 3.86 meters from the wall when it stops rolling.
A company that manufactures light bulbs finds one out of every twenty
light bulbs are defective (broken). In a sample of 100 light bulbs, how many
should the company expect to be defective? (YOU CAN PUT A WHOLE
NUMBER FOR THE ANSWER)
Answers
Answer: 5
Step-by-step explanation: P(broken bulb) = 1/20 =0.05
Estimated value E = np = 100·0.05 = 5
Find the Area of the Triangle
Answers
Answer:
50 squared m
Step-by-step explanation:
Volume for triangles is base x hight / 2
10 x 10 = 100 / 2 = 50
Which of the following is an open statement?
A. 20 is an even number
B. 21 is positive number
C. x is an even number
D. 21 is an even number
Answers
Answer:
C. x is an even number
Step-by-step explanation:
The open statement is x is an even number. The correct option is C.
What is an open statement?A statement (as in mathematics) that contains at least one blank or unknown and that becomes true or false when the blank or unknown is filled in or a quantity is substituted for the unknown. The sentences "n + 5 = 3" and "it is divisible by 6" are both open sentences.
here te open statement is given as x is an even number because the statement says that there is an unknown number which is even in nature. So there is a blank for the number the number can be anything from all the even numbers.
To know more about open statements follow
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Calculate the magnitude and angle of the vector.
B = −2x+2y
Answers
Answer:
Magnitude: [tex]2\sqrt{2}[/tex], Angle: 135 degrees
Step-by-step explanation:
The magnitude of the vector ax + by is
[tex]\sqrt{a^2+b^2}\\\\\sqrt{(-2)^2+2^2}\\\\\sqrt{4+4}\\\\\sqrt{8}\\\\2\sqrt{2}[/tex]
The angle (in Standard Position) is 135 degrees.
See attached images.
multiply 8(-p+8) plz
Answers
Answer:
-8p+64
Step-by-step explanation:
Multiply each term in parentheses by 8
8×-p= -8p
-8p+8×8 (8×8=64)
= -8p+64
Which statement describes the solution(s) to the system of equations -6x -3y =12 and -12x -6y= -24?
A. The system has a solution of (-2, -1)
B. The system has a solution of (3, -2)
C. The system has no solution.
D. The system has infinitely many solutions.
Answers
Answer:
C
Step-by-step explanation:
i had the same question on my test lol
f(x) = x2. What is g(x)?
A. g(x)=1/5x^2
B. g(x) = 5x^2
c. g(x) = 25x²
D. g(x) = (5x)2
i’m need of help right now please please please
Answers
Answer:
B. y = 5x²
Step-by-step explanation:
As you can see, g(x) is a proper parabola, so it must be some variation of y = x².
Because the vertex of the parabola remains at (0, 0), know that there is no translation, so all we need to account for is the scale.
In the graph we can see that where x is equal to 1, y is equal to 5. On a normal parabola that would instead be (1, 1), so we know that the y axis is scaled by a factor of five. With that we can say that y = 5x².
for triangle ABC find the measure of angle A.
Answers
Answer:
A= 63
Step-by-step explanation:
the both sides are equal so it will be 63 and 63
angle c would be 54
Adding all the sides would give 180 as all sides equal 180
what point has coordinates (3 1/2, 1)
A. Point J
B. Point M
C. Point N
D. Point O
Answers
Answer:
The answer is B Point M
Hope this helps as well! :)
Step-by-step explanation:
Tail-feather length in birds is sometimes a sexually dimorphic trait. That is, the trait differs substantially for males and for females. Researchers studied the relationship between weight (x) and tail-feather length (y) in a sample of five wild male longtailed finches. Here are the data:
Weight Tail Length
20.5 82.5
19.1 82.5
15.9 67
16.7 70.5
15.7 73.5
The value of the linear correlation coefficient between weight and tail feather length is approximately : _________
Answers
Answer:
Step-by-step explanation:
it's about 18, as per the graph
please help me asap !!!!!!
Answers
Answer:
D
Step-by-step explanation:
Pretty sure its D
11) The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees Fahrenheit with standard deviation of 5 degrees. What is the probability that a that temperature is greater than 68 degrees?
Answers
Brainliest☻
Which relation symbol makes this number sentence true?
4/5 ___ 9/12
=
≠
Answers
Answer:
≠
Step-by-step explanation:
4/5 ≠ 9/12
≠ is the answer.
Answer:
≠
Step-by-step explanation:
First, find a common denominator
Let's use 60
Convert each fraction to a fraction with a denominator of 60
4/5 = 48/60
9/12 = 45/60
48/60 ≠ 45/60 so 4/5 ≠ 9/12
What is the value of (−2)3 ?
Group of answer choices
-5
-6
-8
8
Answers
9514 1404 393
Answer:
-6 or -8, depending on what you mean
Step-by-step explanation:
(-2)3 = -(2)(3) = -6
__
(-2)^3 = (-2)(-2)(-2) = -(2)(2)(2) = -8
Look at the two temperatures. How much have they changed by?
4 degrees to -10 degrees
Answers
Answer:
[tex] \displaystyle 14[/tex]
Step-by-step explanation:
we are given two temperature
4 degrees and -10 degrees
since it says to figure out the changed
substract
[tex] \displaystyle 4 - ( - 10)[/tex]
remove parentheses and change its sign
[tex] \displaystyle 4 + 10[/tex]
simplify addition:
[tex] \displaystyle 14[/tex]
and we are done!
Probability!
the desks in a classroom are organized into four rows of four columns. each day the teacher randomly assigns you to a desk. you may be assigned to the same desk more than once. over the course of 5 days, what is the probability that you are assigned to a desk in the front row exactly twice?
Answers
answer:
12.5%
explain:
16 seats= 6.25% for each seat
4/16=25%
the chances of it happening again is 12.5%
The probability that you are assigned to a desk in the front row exactly twice is 12.5%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the desks in a classroom are organized into four rows of four columns. each day the teacher randomly assigns you to a desk. you may be assigned to the same desk more than once. over the course of 5 days,
The probability will be calculated as,
16 seats = 6.25% for each seat
4/16=25%
The chances of it happening again are 12.5%
Therefore, the probability that you are assigned to a desk in the front row exactly twice is 12.5%.
To know more about probability follow
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Rewrite ln x = 8 as an exponential function.
A- ln x + 8 = y
B- ln 8 = x
C- e8 = x
D- ex = 8
Answers
Answer:
the answer is going to be b because u going to say In8=×