Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it
in a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?
Answer:
$9,000.00 is her original investment worth in 10 yrs.
5000 x 1.08 ^10 = 10794.6249864
Then subtract -500000 = 5794.62498636
Step-by-step explanation:
Why, because the first year is proved 5000 x 0.08 = 400
= 400 year 1 but cna keep only if stays in investment for 10 years
400 x 10 = 4000 interest on investment
5000+ 4000 = $9,000.00 SI
+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62
simplify square root of 5 times square root of 8
Answer:
6 sqrt(5) - 4 sqrt(15)
Step-by-step explanation:
sqrt(5) ( ( 6 - 4 sqrt(3))
Distribute
6 * sqrt(5) - 4 * sqrt(5) sqrt(3)
We know sqrt(a) sqrt(b) = sqrt(ab)
6 sqrt(5) - 4 sqrt(15)
Answer:
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\sqrt{5} (6-4\sqrt{3} )[/tex]
[tex]\sqrt{5}\times \:6-\sqrt{5}\times \:4\sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5} \times \sqrt{3}[/tex]
[tex]6\sqrt{5}-4\sqrt{5 \times 3}[/tex]
[tex]6\sqrt{5}-4\sqrt{15}[/tex]
How smart r u?
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?
I need help ASP on this
Answer:
2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."
The answer is B.
Answer:
B
Step-by-step explanation:
type at least 2 ways they are the same and type 2 ways they are different.
Answer: they are both halves and represent the fraction 1/2. They different because there represented by lines and boxes.
Step-by-step explanation:
How many roots does (x+10)^9 have. Please explain how u did it.
Answer:
This expression contains a one root (x= -10) of multiplicity 9
Step-by-step explanation:
Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):
[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]
Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.
In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).
Answer:
9
Step-by-step explanation:
(x+10)^9 is the 9-degree polynomial so it has 9 roots
if it is equal to zero then it has 9 equal roots of x= -10
3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.
Answer:
15:2; there are 2 counselors to every 15 campers
Step-by-step explanation:
The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation
Answer:
B) Rotation
Step-by-step explanation:
The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.
Answer:
Rotation
Step-by-step explanation:
Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).
Question 11 options:
a)
y = 13x − 2
b)
y = 3x – 6
c)
y = 13x + 2
d)
y = –3x + 6
Answer:
work pictured and shown
what is the degree measure of an angle that measures 4.5 radians
Answer:
257.8°
Step-by-step explanation:
rad × 180/π = °
4.5*180=810
810/π=257.8
84 is 30% of what number?
2.8
25.2
280
2520
The right answer is 280
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
84 is 30% of 280
Step-by-step explanation:
Write and solve this equation: 84 = 0.30n, where n is the unknown number.
Then n = 84 / 0.30 = 280
84 is 30% of 280
What is 13/18pie in degrees
Answer:
Convert from radians to degrees using the ratio 180/π. answer is 130°
Step-by-step explanation:
Choose which one you believe doesn't belong, then explain the reason why you chose your answer above! ( thank you :) )
1. 5, 9, 13, 17, 21...
2. 5, 15, 45, 135, 405...
3. 5, 2, -1, -4, -7...
4. 10, 13, 16, 19, 22...
Answer:
2
Step-by-step explanation:
1,3,4 are arithmetic sequences
2 is a geometric sequence
Answer:
number 2
Step-by-step explanation:
i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps
If a=4, b=5 and c=7, calculate 2a + 3c
Answer:
2a + 3c = 29
Step-by-step explanation:
2a + 3c =
= 2×4 + 3×7
= 8 + 21
= 29
Determine the constant of variation for the direct variation given.
(0,0) ,(3,12),(9,36)
Answer:
[tex]r = 4[/tex]
Step-by-step explanation:
Given: Direct Variation
(0,0) ,(3,12),(9,36)
Required
Constant of Variation
Provided that the given data is a direct variation, the constant variation is represented by r.
r is calculated as thus;
[tex]y = rx[/tex]
Divide both sides by x
[tex]r = \frac{y}{x}[/tex]
Point (0,0) is the center of origin and cannot be used
When x = 3, y = 12
and
[tex]r = \frac{12}{3}[/tex]
[tex]r = 4[/tex]
When x = 3, y = 12
and
[tex]r = \frac{36}{9}[/tex]
[tex]r = 4[/tex]
Notice that the value of r remain constant in both cases; Hence, the constant of variation is; [tex]r = 4[/tex]
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answer: 40
Align in this pattern:
Bigger box : 24 : 15 : 10
smaller box: 6 : 3 : 5
counts: 4: 5 : 2
( multiply 4*5*2 = 40)
What is the measurement of angle A to the nearest degree?
Answer:
A = 51 degrees
Step-by-step explanation:
We can use the law of sines
sin A sin 95
------------ = -----------
7 9
Using cross products
9 sin A = 7 sin 95
Divide each side by 9
sin A = 7/9 sin 95
Take the inverse of each side
sin ^-1 sin A = sin ^-1 ( 7/9 sin 95)
A = 50.78854367
To the nearest degree
A = 51 degrees
First person to answer gets Brainliest.
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Volume = 250 ft³
Answer: 4.97 ft
Step-by-step explanation:
h = V / pi r^2
h = 250 / 3.14 x 4^2
A ship is sailing due west …
Plz answer !!
Answer:
8.75° south of west
26.3 mph
Step-by-step explanation:
Let's say that east is +x and north is +y.
The sailor's horizontal velocity is -26 mph. The vertical velocity is -4 mph. So the velocity vector is in the 3rd quadrant. The direction is:
θ = tan⁻¹(-4 / -26)
θ = 188.75°, or 8.75° south of west.
The magnitude of the speed is:
v = √((-4)² + (-26)²)
v = 26.3 mph
Which rule will find the nth term of the arithmetic sequence
-58,-65, -72. -86,...?
Answer:
-85n - 7 = -92
Step-by-step explanation:
Which statement describes how to determine if a relation given in a table is a function?
A. If none of the output values are repeated, the relation is a function.
B. If none of the input values are repeated, the relation is a function.
C. If any of the input values are equal to the output values, the relation is a function.
D. If all the output values are paired with the same input value, the relation is a function.
Answer: B
Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.
Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.
However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.
Answer:
B. If none of the input values are repeated, the relation is a function.
Step-by-step explanation:
Just took test on edge 2020
what's the conversion factor used to convert inches to yards ?
The conversion factor used to convert inches to yards is: 36 inches in 1 yard.
What is the slope of the line described by the equation below?
y= x-3
A. (0,-1)
B.(0,3)
C. (0,1)
D.(0,-3)
Answer: The answer is B: (0,-3)
Step-by-step explanation: The y intercept is the value of y when x is equal to 0, so just set x=0 and find y!
y = 0-3
y=-3
( i hope this helped <3 )
The math team wraps gifts as a way to raise money for traveling to competitions. They offer two choices: a plain wrapping or a decorative wrapping with bows. The table represents the money raised over a busy shopping weekend. A 3-column table titled Gift-Wrapping Fundraiser has 3 rows. The first column is labeled Plain Gifts Wrapped with entries 10, 25, 16. The second column is labeled Decorative Gifts Wrapped with entries 9, 12, 12. The third column is labeled Total Raised in dollars with entries 47, 86, 68. Which statement describes the amounts the team charged for wrapping gifts? The team charged $1 to wrap a gift with no bow and $2 to wrap a gift with a bow. The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow. The team charged $3 to wrap a gift with no bow and $4 to wrap a gift with a bow. The team charged $4 to wrap a gift with no bow and $5 to wrap a gift with a bow.
Answer:
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
Step-by-step explanation:
Gift-Wrapping Fundraiser
Plain Gifts Wrapped Decorative Gifts Wrapped Total Raised in dollars
10 9 47
25 12 86
16 12 68
Let's define:
x: $ charged per gift for Plain Gifts Wrapped
y: $ charged per gift for Decorative Gifts Wrapped
From 2nd 3rd row:
25x + 12y = 86
16x + 12y = 68
Subtracting them:
25x + 12y - (16x + 12y) = 86 - 68
9x = 18
x = 18/9 = 2
Replacing x = 2 into the first equation:
25(2) + 12y = 86
12y = 86 - 50
12y = 36
y = 36/12 = 3
Answer:
The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.
Step-by-step explanation:
B on edg
Plzzzzzz helpppp
What information is missing but is needed to solve this problem?
The community theater staged performances on Friday, Saturday, and Sunday. There were 357 people at Friday's performance and 422 at Sunday's performance. How many people attended Saturday's performance?
A)the number of people at Friday's, Saturday's, and Sunday's performances combined
B)the number of people at Friday's and Sunday's performances combined
C)the difference between the number of people at Friday's and Sunday's performances
D)the average of the number of people at Friday's and Sunday's performances
Answer:
a. the number of people at Friday's, Saturday's, and Sunday's performances combined.
Step-by-step explanation:
The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.
Answer:
A) The number of people at Friday's, Saturday's, and Sunday's performances combined.
Step-by-step explanation:
We are looking for the amount of people who attended Saturday's performance, but only one of the answers contains anything about Saturday, which is A. All the information in the other 3 choices we already know, because we know the amount of people at both Friday and Saturday's performance, so we can do some simple math to figure it out.
How do you Convert the decimal into a mixed number 10.5
Answer:
it would be 10 1/2
Step-by-step explanation:
The ten is already a whole number so it would be itself. .5 is in the tenths place so it would be put over ten (5/10). Simplify 5/10 to 1/2 because 5 is half of 10
Answer:
its 10 1/2
Step-by-step explanation:
Sophia wants to find out whether people like a new airport .she surveyed 20 people who work at the airport one morning in March to find their opinion of the airport . Write down two ways Sophia could improve her data collection method.
Answer:
By asking a larger quantity of people.
Changing the time/date of when she went and asked the questions
Answer:
by asking more people because then she can get a more diverse answer
Step-by-step explanation:
Consider 2.25t + 5 = 13.5t + 14
Write the resulting equation after moving the 2.25t to the right side
If 13.5t is moved to the left side, what is the resulting equation?
--------------------------------------------------------------------------------
Andre and Diego were each trying to solve 2x + 6 = 3x -8.
Describe the first step they each make to the equation.
Andre’s resulting equation was - x + 6 = -8
Diego’s resulting equation was 6 = x - 8
Answer:
5 = 11.25t +14-11.25t +5 =14Andre moved 3x to the left.Diego moved 3x to the rightStep-by-step explanation:
Moving the 2.25t to the right side2.25t + 5 = 13.5t + 14
5 = 13.5t + 14 - 2.25t
5 = 11.25t +14
Moving the 13.5t to the left side
2.25t + 5 = 13.5t + 14
2.25t + 5 -13.5t= 14
-11.25t +5 =14
Andre moved 3x to the left.2x + 6 = 3x -8
2x+6-3x=8
-x+6 =8
Diego moved 3x to the right2x + 6 = 3x -8
6 =3x-8-2x
6= x-8
Feel free to ask for more if needed or if you did not understand something.
If you answer all the questions on the picture I will give brainliest
Answer:
1. 324
2. 610
3. 72
4. 97
5. 20
6. 28
7. 195
5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
options:
A. f(x) = x – 3
B. f(x) = x + 3
C. f(x) = –x + 3
D. f(x) = –x – 3
Answer:
[tex]f(x) = x + 3[/tex]
Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]
[tex]m = \frac{0 + 2}{-3 + 5}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]
We have
[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]
[tex]1 = \frac{y+2}{x+5}[/tex]
Multiply both sides by x + 5
[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]
[tex]x + 5 = y + 2[/tex]
Subtract 2 from both sides
[tex]x + 5 - 2 = y + 2 - 2[/tex]
[tex]x + 3 = y[/tex]
[tex]y = x + 3[/tex]
Replace y with f(x)
[tex]f(x) = x + 3[/tex]
Hence, from the list of given options; Option B is correct
Answer: B. f(x) = x + 3
Step-by-step explanation: