Answers
Answer:
[tex]\Huge\boxed{x=11.8}[/tex]
Step-by-step explanation:
Hello There
cos = adjacent divided by hypotenuse
the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18
so
[tex]cos49=\frac{x}{18}[/tex]
once again we want to isolate the variable using inverse operations
to get rid of the 18 we multiply each side by 18
[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]
we're left with
[tex]x=18cos49[/tex]
now we let the calculator do the rest of the work
we end up with
[tex]x=11.80906252[/tex]
our final step would be to round to the nearest tenth
so we can conclude that the x = 11.8
Related Questions
2. Suppose y varies directly as x and y=-8 when x=-2. Find x when y=32.
Answers
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
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?
Answers
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
Answers
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!
During an local election the ratio of teens to adults who voted was 9.3. If 732 people voted how many were teens
Answers
Answer: 549
Step-by-step explanation:
Given
The ratio of teens to adults is 9:3
The total number of people who voted is 732
let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3
So, we can write
[tex]\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61[/tex]
No of the teens were [tex]9x=9\times 61=549[/tex]
Multiply (x+6) to (x^2 - 7x + 12)
Answers
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
Choose True or False for each equation for x = 6.
Answers
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:
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?
Answers
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
less than 100 students want to start at 9:00 am true or false
for there are 17
Answers
. 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
Answers
Answer:
24 units^2. :)
please help me this is for a grade
Answers
Answer:
b
Step-by-step explanation:
How many solutions can Quadratic functions have?
Answers
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.
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
C.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
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.
Answers
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
How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3
Answers
Answer:
0
Step-by-step explanation: i did the lesson
Find the interest
earned:
$26,000 for 36 months
at 7.5% annual
compound interest
Answers
Answer:
Interest = $6,300 (Approx.)
Step-by-step explanation:
Given:
Amount deposit (P) = $26,000
Number of month = 36 month
Number of year (n) = 36 / 12 = 3 year
Rate of interest (r) = 7.5% = 0.075
Find:
Interest earned
Computation:
Interest = p[(1+r)ⁿ-1]
Interest = 26,000[(1+0.075)³-1]
Interest = 26,000[(1.075)³-1]
Interest = 6,299.71
Interest = $6,300 (Approx.)
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?
Answers
Answer:
18.79
Step-by-step explanation:
If You Had Three Wishes, What Would You Wish For?
Answers
Answer:
I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions
Step-by-step explanation:
thats only for brainly though
Answer:
My three wishes would be:
1: Get all staright A's
2: the sickness that starts with C thats going around goes away forever
3: Have some cheesecake.
Step-by-step explanation:
Sallie is earning $8.70 per hour and got a 6% increase in her pay. What is sallies new rate of pay?
Answers
8.70*(6/100)=0.522 that's the increase
then we add it to the base salary
8.70+0.522=9.222$
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
Answers
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!
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?
Answers
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°
| 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.
Answers
Answer:
750 ft
Step-by-step explanation:
Hallllp!!!! please!!!!!!! I will give brainliest!!!!
Answers
how many square metre of carpeting are needed to cover a floor that measures 8m by 5m
Answers
Answer:
40 meters squared
Step-by-step explanation:
8 * 5 = 40
Solve the system of equations by substitution.
y=3x-10, 2x+3y=14
Its 5-3 MathXL btw
Answers
2x+9x-30=14
11x=44
x=4
y=3(4)-10
y=2
Please help find the error
Answers
Answer:
the error is they put out the answer
Step-by-step explanation:
8
Which expression is equivalent to 4.8 + 2.2w – 1.4w + 2.4?
Answers
Answer:
7.2 + 0.8w
Step-by-step explanation:
Combine like terms.
Here Like terms: i) 2.2w and (-1.4w)
II) 4.8 and 2.4
4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w
= 7.2 + 0.8w
Best one gets brainly :D
Answers
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...
What is the value of x?
Answers
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°
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.
Answers
Answer:
C
Step-by-step explanation:
Answer:it’s c
Step-by-step explanation:
Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min
Answers
Answer: 30 mins.
Step-by-step explanation:
The mode is the value that appears the most times.
In such a situation, first order the numbers in an ascending order:
15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45
As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.