Answer:
x = 14
<CAD = 42degrees
Step-by-step explanation:
Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees
Taking the sum of all the angles and equating to 360, we will have;
<BAC + <DAE + <BAE + <CAD = 360
60+90+12x+3x = 360
150 + 15x = 360
15x = 360 - 150
15x = 210
x = 210//15
x = 14
Get <CAD
Since <CAD = 3x
<CAD = 3(14)
<CAD = 42 degrees
Hence the measure of angle CAD is 42degrees
| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.
Answer:
750 ft
Step-by-step explanation:
3. The functions f and g are defined by
[tex] f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2[/tex]
[tex]g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4[/tex]
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.
How many solutions can Quadratic functions have?
Answer:
2 solutions
Step-by-step explanation: As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 - 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.
An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?
Answer:
66°
Step-by-step explanation:
Given that :
Right angle measure of a triangle are used in a design :
A right angles triangle has one of its angle equals 90 ;a
Since the second angle is given as 24 ; b
The measure of the third angle ; c will be :
Sum of angles in a triangle = 180
(a + b + c) = 180
(90 + 24 + c) = 180
c = 180 - 114
c = 66°
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
Bonnie's doctor recommended that she drink 2cups of milk per day. If she buys 3 quarts of milk,will it be enough milk to last 1 week?
Answer:
She does not have enough milk to last for 1 week
Step-by-step explanation:
From the question, we are told that:
Bonnie's doctor recommended that she drink 2cups of milk per day.
Step 1
The number of days in a week is 7 days
Hence
1 day = 2 cups of milk
7 days = x
Cross Multiply
x = 7 × 2 cups of milk
= 14 cups of milk.
Step 2
If she buys 3 quarts of milk,will it be enough milk to last 1 week?
We have the conversion rate as:
1 quart = 4 cups
Therefore,
1 quart = 4 cups
3 quarts = x cups
Cross Multiply
x cups = 3 quarts × 4 cups/1 quart
x cups = 12 cups of milk
This means she bought 12 cups of milk.
Therefore, from the above calculation, she does not have enough milk to last for 1 week because due to her doctor's recommendation, she need 14 cups of milk for the week but she only bought 12 cups of milk
Answer:
70
Step-by-step explanation:
68+2
A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 6800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xxx, the number of 100-kilogram crates that can be loaded into the shipping container.
Answer:
x ≤ 207 crates
Step-by-step explanation:
Greatest weight of the container = 27,500 kilograms
Weight of other shipment = 6,800 kilograms
Weight of a crate = 100 kilograms
Number of 100-kilogram crates that can be loaded into the shipping container = x
The inequality is
27,500 ≤ 6800 + 100x
27,500 - 6800 ≤ 100x
20,700 ≤ 100x
x ≤ 20,700 / 100
x ≤ 207 crates
asap please help for brain list
If a+b = c which of the following statements is true?
b-c=a
a-c=b
c-a=b
c+b= a
Answer:
c-a=B
Step-by-step explanation:
if A+B=c then you subtract a from c and you get b
Answer:
C. c - a = b
Step-by-step explanation:
a + b = c
There are many ways to rearrange this equation. This can be done through addition and subtraction.
First, let's handle a. a is positive; therefore, we should subtract it.
a + b = c
b = c - a
Next, let's handle b. b is also positive; therefore, we should subtract it.
a + b = c
a = c - b
Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.
From our options, we can see that we have produced: b = c - a
This is an option, which has been written as c - a = b.
Therefore, your answer is C. c - a = b
Hope this helps!
Out of 1200 people polled, 30% do not like radio, and 10% of the people who do not like radio also do not like music. How many people polled do not like both radio and music?
Answer:
10% of people don't like either. Your answer is 120 people.
Step-by-step explanation:
. The coordinates of a rectangle are (4,2), (4,-3), (-2, -3) and (-2, 2). In square units, what is the area of this rectangle? units
Answer:
24 units^2. :)
Choose True or False for each equation for x = 6.
1 = False (6x6 = 36)
2 = True ( 6 + 5 = 11)
3 = True ( 6/2 = 3)
4 = True (17 - 6 = 11)
Answer:
false
true
true
true
Step-by-step explanation:
Please help find the error
Answer:
the error is they put out the answer
Step-by-step explanation:
CAN SOMEONE WHO IS GOOD AT MATH HELP PLEESE !! ALSO PLEASE PUT ACTUAL ANWSERS I DONT OPEN SKETCHY FILES ON MY COMPUTER !!
Step-by-step explanation:
THE Question Satisfies For All The GraphCan you answer and explain this to me?
9514 1404 393
Answer:
(a) y^6/x^4
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
[tex]\displaystyle x^{-4}y^6=\frac{1}{x^4}\cdot y^6=\boxed{\frac{y^6}{x^4}}[/tex]
2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.
Answer:
x = 8
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in the given values of x and y, and solve for k:
y = kx
-8 = k(-2)
4 = k
So, the equation is y = 4x
Using this, plug in 32 as y, and solve for x:
y = 4x
32 = 4x
8 = x
So, x = 8 when y = 32
Multiply (x+6) to (x^2 - 7x + 12)
Answer:
x³- x²- 30x + 72
Step-by-step explanation:
this is just like simple multiplication, you need to multiply each term in (x + 6) by each term in (x² - 7x + 12)
hope this helps
A painter is building scaffolding to paint the ceiling of a tall building. Each section of scaffolding is in the shape of a rectangle and measures 8 feet wide by 17 feet long. The painter uses metal piping along the diagonal to secure the scaffolding. Which measurement is closest to the length of the diagonal piping?
Answer:
18.79
Step-by-step explanation:
Best one gets brainly :D
Answer:
The first and the second equation is flipped... meaning you have to switch their places
Step-by-step explanation:
I think I did this before so good luck...
Hallllp!!!! please!!!!!!! I will give brainliest!!!!
Given two strings, each extending from a different focus to a common point on an ellipse, what is the relationship
between the two points?
A. They are collinear.
B. They have the same slope.
C. The sum of their lengths is equal to the length of the major axis.
D. The difference of their lengths is equal to the length of the minor axis.
Answer:
It's C
Step-by-step explanation:
Got it correct on Edge
The ages of the members of the Chess Club and the Debate Team at Jana’s school are shown in the box plots.
Which statement is true regarding these data sets?
The range of the ages of the members of the Debate Team is greater than the range of the ages of the members of the Chess Club.
The number of members in the Chess Club and the number of members in the Debate Team is the same.
The majority of the members in each club are between 15 and 17 years old.
About 50% of the members of each club are 16 or older.
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
A florist uses 5 red roses for every 2 white roses in her bouquets write the ratio of white roses to red roses in 3 different ways
Answer:
5/2
5 : 2
5 to 2
Customer Money Spent (in dollars) 1 $13 2 $46 3 $13 4 $87 5 $10 6 $5 7 $8 8 $16 9 $33 10 $57 A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion A) is valid. The last 10 customers only bought sale items. B) is correct. This is the average amount spent by any customer. C) is invalid. This is not a good representation of all customers. Eliminate D) is unfair. The last ten people in the store may have been tired.
Answer:
Step-by-step explanation:
i think the anwer is c
pls help me this is due soon thx
Answer:
D
Step-by-step explanation:
Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?
Answer:
The probability that Leon strikes is greater than Carlton strike is 0.40905
Step-by-step explanation:
From the question, we have;
The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%
The number of games Carlton played, n₁ = 25
The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%
The number of games Leon played, n₂ = 25
Therefore, we have;
[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]
Where;
k₁ = 0.7 × 25 = 17.5
k₂ = 0.67 × 25 = 16.75
[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]
The test statistic is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]
From the z-table, we have;
The p-value for Carlton strikes is greater than Leon's strike = 0.59095
∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905
The probability that Leon strikes is greater than Carlton strike = 0.40905
i am thinking of a number. i will add four and then multiply it by five. the answer will be thirty five. whats the number?
A-2
B-3
C-4
D-5
Answer:
B. 3
Step-by-step explanation:
Let's make an equation for this. Our unknown number is x.
x
We are adding 4.
x + 4
Then multiplying by 5.
(x + 4) • 5
It will equal 35.
(x + 4) • 5 = 35
To solve this, divide both sides by 5.
(x + 4) = 7
Now subtract 4 from both sides.
x = 3
This is your answer.
Check this by plugging it back into our original equation.
(x + 4) • 5 = 35
(3 + 4) • 5 = 35
7 • 5 = 35
35 = 35
Your answer is correct.
Hope this helps!
pls help me
i need this done
Answer:
270 yd³
Step-by-step explanation:
V = 2(½)bhL
V = bhL = 4.5(10)(6) = 270 = V
The vertex form of the equation of a parabola is y = (x+ 3)2 + 53.
What is the standard form of the equation?
Answer:
y = 2x² + 12x + 71
Step-by-step explanation:
What's the answer???
Answer:
2nd option
Step-by-step explanation:
What is the value of x?
Answer:
x = 39
Step-by-step explanation:
The angle between a tangent and the radius of a circle at the point of contact is 90° , then
x = 180 - (90 + 51) = 180 - 141 ← angle sum of triangle
x = 180 - 141 = 39
x + 51 = 90
x = 90 - 51
x = 39°