Answer:
The 2 angles are 12.2 and 77.8 degrees.
Step-by-step explanation:
Let the measure of one angle be x degrees, then it's complementary angle = 90-x degrees.
So we have the equation:
x = 90 - x - 65.6
2x = 90 - 65.6 = 24.4
x = 12.2 degrees.
Its complement = 90 - 12.2 = 77.8 degrees.
A 15-foot ladder leans against a wall and makes an angle of 65° with
the ground. What is the horizontal distance from the wall to the base
of the ladder, to the nearest tenth of a foot?
Check the picture below.
Make sure your calculator is in Degree mode.
The horizontal distance from the wall to the base of the ladder is 6.3-foot and it can be determined by using trigonometric ratios.
Given that,
A 15-foot ladder leans against a wall and makes an angle of 65° with the ground.
We have to determine,
What is the horizontal distance from the wall to the base of the ladder?
According to the question,
Let, the horizontal length be x,
The length of the hypotenuse is 15-foot.
And the angle is 65 degrees.
Then,
The horizontal distance from the wall to the base of the ladder is,
[tex]\rm Cos\theta = \dfrac{Horizontal \ distance}{Perpendicular}\\\\Cos65 = \dfrac{x}{15}\\\\x = Cos65 \times 15\\\\x = 0.42 \times15\\\\x = 6.3 \ foot[/tex]
Hence, The horizontal distance from the wall to the base of the ladder is 6.3-foot.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13710437
help please will give 30+ points
Answer:
I had this on my quiz hold on.. is is 48.
Step-by-step explanation:
15 POINTSSSS
HELLLLPPPPP I NEED HEELLLLPPPP
a right rectangular prism is made with 8 small cubes. Each cube has an edge length of 1/5 inch.
What is the volume in cubic inches?
Final answer:
The volume of a right rectangular prism made from 8 small cubes with an edge length of 1/5 inch each is 8/125 cubic inches.
Explanation:
The question asks for the volume of a right rectangular prism made up of 8 small cubes, with each cube having an edge length of 1/5 inch. To find the volume of the right rectangular prism, we must first understand the volume of a single cube, which is found by multiplying the length, width, and height of the cube. Since each side of a cube is equal, the volume of one cube is (1/5 inch) × (1/5 inch) × (1/5 inch), which equals 1/125 cubic inches.
Next, the volume of the entire prism, which consists of 8 such cubes, is calculated by multiplying the volume of one cube by 8. Therefore, the total volume of the prism is (1/125 cubic inches) × 8, which equals 8/125 cubic inches.
54 months = _____ years 5.4 years 4 years 4.5 years 5 years
Answer:
4.5
Step-by-step explanation:
54 divided by 12= 4.5
12 becuase there are 12 months in a year.
Answer:
4.5 i did the test on got it right
Step-by-step explanation:
twice a number divide by 6 is 42
Answer: 126
Step-by-step explanation: 42 times 6 equals 252, 252 divided by 2 equals 126
What is the point of intersection of these two lines? -4x + y = 8 2x - y = 4 (2, 0)
(-6, -16)
(−2/3, −16/3)
(-2, -8)
Answer:
(- 6, - 16 )
Step-by-step explanation:
Given the 2 equations
- 4x + y = 8 → (1)
2x - y = 4 → (2)
Adding the 2 equations term by term will eliminate the term in y
- 2x = 12 ( divide both sides by - 2 )
x = - 6
Substitute x = - 6 into either of the 2 equations and soilve for y
Substituting x = - 6 into (2)
2(- 6) - y = 4
- 12 - y = 4 ( add 12 to both sides )
- y = 16 ( multiply both sides by - 1 )
y = - 16
Solution is (- 6, - 16 )
Express 0.15 as a fraction in simplest form.
Final answer:
To express 0.15 as a fraction, write it as 15/100 and simplify by dividing both the numerator and denominator by 5 to get 3/20 in simplest form.
Explanation:
To express the decimal 0.15 as a fraction in its simplest form, we start by writing it as a fraction with a denominator that reflects its place value. Since 0.15 has two digits after the decimal point, its denominator should be 100. Hence, we have:
0.15 = 15/100
Now, we need to reduce this fraction to its simplest form by canceling equivalent terms in the numerator and the denominator. We notice that both 15 and 100 are divisible by 5. Dividing the numerator and the denominator by 5, we get:
15 ÷ 5 = 3
100 ÷ 5 = 20
Therefore, the fraction 15/100 simplifies to 3/20, which is in its simplest form.
Final answer:
To simplify 0.15 as a fraction, convert it to 15/100 and then divide both numerator and denominator by 5 to get the simplest form, which is 3/20.
Explanation:
To express 0.15 as a fraction in simplest form, we start by recognizing that 0.15 is the same as 15 hundredths, which can be written as 15/100. To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. Both 15 and 100 can be divided by 5, which would give us 3 in the numerator and 20 in the denominator after dividing both by 5. Therefore, the simplest form of the fraction is 3/20.
I need the value of O and N in the picture (the diagonal lengths)
Answer:
N=15 O=17
Step-by-step explanation:
since we know this is a rectangle and the lines are diagonals we can assume they create right triangles. For line N we set up the Pythagorean Theorem which is a^2 + b^2 = c^2 and to find N we plug in 9 for a and 12 for b. 9^2 + 12^2 = c^2 c^2 = 225 so now we find the square root of c^2 so c or in this case N = 15, now we repeat this same exact sequence for O but N is now our base and 8 is our height of the triangle so we will plug in 8 for a and 15 for b: 8^2 + 15^2 = c^2 c^2 = 289 and the square root of 289 is 17.
Check the picture below.
For questions 3 - 5, answer the questions about the equations.
3. How many solutions are there to this equation?
3(x - 4) + 5 - x= 2x-7
Answer:
infinite solutions
Step-by-step explanation:
Eliminate parentheses and collect terms:
3x -12 +5 -x = 2x -7
2x -7 = 2x -7
This is true for any value of x. There are an infinite number of solutions.
A circle with a radius of 5 has a sector with a central angle of 9/10pi radians what is the area of the sector
Answer:
11.25pi units² or 35.3 units² (3 sf)
Step-by-step explanation:
½×r²×theta
½ × 5² × 0.9pi
11.25pi units²
Or, 35.3 units² (3 sf)
What is the distance between (0, 0) and
(8, 15) on the coordinate plane?
A. 7 units
B. 8 units
C. 17 units
D. 23 units
Please help me!!!
Answer:
C. 17
Step-by-step explanation:
Distance formula:
[tex] \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } \\ \\ = \sqrt{ {(8 - 0)}^{2} + ( {15 - 0})^{2} } \\ \\ = \sqrt{ {(8)}^{2} + {(15)}^{2} } \\ \\ = \sqrt{64 + 225} \\ \\ = \sqrt{289} \\ \\ = 17[/tex]
The correct answer is C. 17 units.
To find the distance between two points on the coordinate plane, one can use the distance formula derived from the Pythagorean theorem. The distance formula is given by:
[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]
where [tex]\( (x_1, y_1) \) and \( (x_2, y_2) \)[/tex] are the coordinates of the two points.
Given the points [tex]\( (0, 0) \) and \( (8, 15) \)[/tex], we can substitute these values into the formula:
[tex]\[ d = \sqrt{(8 - 0)^2 + (15 - 0)^2} \] \[ d = \sqrt{8^2 + 15^2} \] \[ d = \sqrt{64 + 225} \] \[ d = \sqrt{289} \] \[ d = 17 \][/tex]
Therefore, the distance between the points[tex]\( (0, 0) \) and \( (8, 15) \) is 17[/tex]units.
2(11x-6)-18 is equal to 22x-30
Answer: Yes they are equal
Step-by-step explanation: First you have to solve 2(11x-6)-18:
2(11x-6)-18
22x - 12 - 18
22x - 30
They equal!
Answer:
0
THE RIGHT HAND SIDE IS EQUAL TO THE LEFT HAND SIDE.
Step-by-step explanation:
2(11x-6)-18 is equal to 22x-30
the above question can as well be expressed as
2(11x-6) - 18 = 22x -30
the next thing is to apply the BODMAS(BRACKET, OF, DIVISION, MULTIPLICATION, ADDITION , SUBTRACTION.) rule by first opening the bracket
22x - 12 -18 = 22x -30
We will proceed to collect the like terms
22x -22x = -30+12+18
0 = -30 +30
0=0
the answer is = 0
THEREFORE THE RIGHT HAND SIDE IS EQUAL TO THE LEFT HAND SIDE.
A circle has a diameter of 12cm. What is the area of the circle in square centimeters?
A) 75.36 cm2
B)113.04 cm2
C)452.16 cm2
D)37.68 cm2
Answer:
B. 113.04 cm^2
Step-by-step explanation:
The area of a circle is:
a=[tex]\pi[/tex]r^2
Because we have the diameter, we need to find the radius.
d=2r
12=2r
Divide by 2 on both sides
r=6
Plug 6 in for "r" in the area formula.
a=[tex]\pi[/tex]r^2
a=[tex]\pi[/tex]6^2
a=36[tex]\pi[/tex]
a=36*3.14
a=113.04 cm^2
So the answer is choice B
Hope this helps!
What is the GCF of -16y4+12y^2-4y?
Answer:
4y
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
Hope this helps!!! Brainliest is appreciated.
Answer:
In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a,
Step-by-step explanation:
What is 2.3375 rounded to the nearest dollar
Answer:
2.34
Step-by-step explanation:
Nope, it is 2.34 because you round it off and the 2 stays the same the three does to but the other 3 turns into a 4 because the number next to it which is a 7 is 5 and higher so that makes it 2.34 this would make sense from a mathematician even if my profile doesn't say it.
Answer:
The answer is $2
step-by-step explanation:
A mailbox on the street is 600 feet from the top of a building. From the mailbox looking up to the tops of that building and a second, taller building, the angle between the buildings is 67degrees. The tops of the buildings are 800 feet from each other. If the angle of elevation from the mailbox to the first building is 53 degrees and the taller building is 60 degrees, how tall is each building... Step by step explanation..Please..Thanks
Answer:
first building: 479.2 ftsecond building: 704.2 ftStep-by-step explanation:
Label the mailbox viewpoint, the top of the first building, and the top of the second building points M, A, and B, respectively.
Consider the triangle MAB. You are told length MA is 600 ft, and length AB is 800 ft. Side AB is opposite the 67° angle at M, so we can use the Law of Sines to find other measures of that triangle. Specifically, we want to know the distance MB.
sin(B)/MA = sin(M)/AB
sin(B) = (MA/AB)sin(M) = 600/800·sin(67°) ≈ 0.690379
B ≈ 43.66°
Then the angle at A is ...
180° -67° -43.66° = 69.34°
and the side MB can be found from ...
MB/sin(A) = AB/sin(M)
MB = (sin(A)/sin(M))AB = sin(69.34°)/sin(67°)·800 ≈ 813.2 . . . feet
__
Now, label points on the ground below A and B as A' and B'. This problem is asking for the heights AA' and BB'. Each of these is opposite the angle of elevation to points A and B, respectively, so can be found using the sine relation:
sin(elevation to A) = AA'/MA
AA' = MA·sin(elevation to A) = 600·sin(53°) ≈ 479.2 . . . ft
Similarly, ...
BB' = MB·sin(elevation to B) = 813.2·sin(60°) ≈ 704.2 . . . feet
The first building is 479.2 ft tall; the second is 704.2 ft tall.
Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6.
Answer:
5 + 2 x 7 + 6
Step-by-step explanation:
Answer:
A: 7*(5-2)+6
explanation: it's really easy
Which set of steps will NOT get you to the point (112,4)?
A. Starting at the origin, go 112 units up and then 4 spaces to the right.
B. Starting at the origin, go 4 spaces up and then 112 spaces to the right.
C. Starting at the origin, go 112 spaces to the right and then 4 spaces up.
D. Put one finger halfway between 1 and 2 on the x-axis, and put another finger at the 4 on the y-axis. Move the first finger up and the second finger to the right until they meet.
Option A and D will not get to the required point
Step-by-step explanation:
Step 1 :
a)
Start at origin, go 112 units up and then go 4 unit to the right.
Starting at the origin, 112 units up gives y = 112
then 4 spaces to the right gives x = 4
So the point obtained is (4,112)
Hence option A will not get to the required point
Step 2 :
b)
Starting at the origin, go 4 spaces up and then 112 spaces to the right.
Starting at the origin , 4 spaces up gives y = 4
112 spaces to the right gives x = 112
So we get the point as (112,4)
Option B goes to the required point
Step 3:
c)
Starting at the origin, go 112 spaces to the right and then 4 spaces up.
Starting at the origin, 112 spaces to the right gives x = 112
4 spaces up gives y = 4
We get to the point (112,4)
Hence option C gets to the required point
Step 4:
d)
Doing the procedure in option D gives y = 4, and x as between 1 and 2
Hence this will not get to the required point
Step 5 :
Option A and D will not get to the required point
Answer:
a)Starting at the origin, go 1 1/2 up units up and then 4 spaces to the right
Step-by-step explanation:
no
Please help me! Pic included! will mark brainliest!
Answer:
B) Point G
Step-by-step explanation:
Because point G is equidistant to all of the angles, and cuts all of the sides in half
what is the area, in square centimeters, of the figure below?
show work please!!
Answer:
C
Step-by-step explanation:
Here it is: 5.8*2.4=13.92
Answer:
6.96
Step-by-step explanation:
2.4 x 5.8 is 13.92, but since it is a triangle you must divide it by 2. Which makes the answer, 6.96.
Susan's cat loses 1 1/4 pounds. then then it loses another 1/8 pound. what what is the total change in the cat's weight?
Answer:
decrease of 1 3/8 lbs (= 11/8 lbs)
Step-by-step explanation:
given that the cat loses 1 1/4 lbs and 1/8 lbs
1 1/4 can be expressed as an improper fraction 5/4
hence the total weight loss
= 1 1/4 + 1/8
= 5/4 + 1/8
= 10/8 + 1/8
= 11/8
= 1 3/8
Answer:
1 3/8
Step-by-step explanation:
change 1/4 into /8 which is 2/8 then add together which is 3/8 the add the one so 1 3/8
A bag contains 77 orange marbles and 21 green marbles. If a representative sample contains 33 orange marbles, then how many green marbles would you expect it to contain? Explain. 100 points :)
Because the ratio of orange marbles to green marbles is ___ in the population, the expected number of green marbles is ___ times the number of orange marbles in the representative sample. There should be ___ green marbles.
9 green marbles are expected in the representative sample.
The expected number of green marbles is 0.27 times the number of orange marbles in the representative sample.
Step-by-step explanation:
Given that,
A bag contains 77 orange marbles and 21 green marbles.A representative sample contains 33 orange marbles and the green marbles not known.So, the expected number of green marbles can be assumed as 'x'.The ratio of orange marbles to green marbles is in proportion to the ratio of orange marbles to green marbles in the representative sample.
To find the value of x :
The proportions are 77/21 = 33/x
Cross multiplying the denominators and keeping x alone on one side,
x = (33 × 21) ÷ 77
x = 693 ÷ 77
x = 9 green marbles.
Therefore, the number of green marbles expected in the representative sample is 9.
To find the how many times the green marbles is to the number of orange marbles in representative sample = 9/33 = 0.27 times.
The green marbles is 0.27 times to orange marbles in the representative sample.
Find the area of the rectangle whose vertices have
coordinates (-2,-2), (3,-2), (3, 4) and (-2, 4).
Answer:
Area = 30 square units
Step-by-step explanation:
First, let's try to visualize the problem:
(-2, 4) • | • (3, 4)
|
|
___________|___________
|
(-2, -2) • | • (3, -2)
|
|
Let's find the side lengths;
(-2) - 3 = |-5|, the Base of the rectangle is 5 units.
4 - (-2) = 6, the Height of the rectangle is 6 units.
The formula for area of a rectangle is B × H.
5 × 6 = 30, so the area of the rectangle is 30 units.
01:5
The US Environmental Protection Agency issues a daily report for pollution levels called the
A. Pollution Advisory Warning
B. Air Rating Level
C. Particulates and Pollution Index
D. Air Quality Index
Please select the best answer from the choices provided.
O
A
OB
Answer:D
Step-by-step explanation:
The United States Environmental protection agency (EPA) issues the Air Quality Index (AQI) daily report to communicate to the public the quality of the surrounding air( clean or bad). It also forecast how the quality of air in the environment will be in the nearest future.
What is the equivalent ratio for 5:6
Answer:
30:36
10 : 12
15 : 18
20 : 24
25 : 30
There are sooo many more but here are a few!
Hope this helped.
each of five friends has X action figures in his or her collection. Each friend buys 11 more action figures. Now the five friends have a total of 120 action figures.write an equation that models this problem then solve
Answer:
Each friend has 13 actions
Step-by-step explanation:
Let x represent the actions of each friends
5friends will have 5x actions
And each friend has 11 more actions which means 5(11)=55
It means 5x+55
The total of their actions is 120
It can be written as 5x+55= 120
To solve
5x+55=120
Substrate 55 from both sides
5x=120-55
5x=65
X=65/5
x=13
Which each friend has 13 actions
Final answer:
To model the problem, the equation 5X + 5(11) = 120 is used. Solving this equation leads to finding that the original number of action figures each friend had is X = 13.
Explanation:
Initially, each of the five friends has X action figures in their collection. After purchasing 11 more action figures each, they collectively have a total of 120 action figures. To represent this problem, we can set up an equation where 5 times the original number of action figures per friend, plus 5 times 11 (because each friend buys 11 more), equals 120. Thus, the equation is:
5X + 5(11) = 120
To find the value of X, we need to solve the equation:
Multiply 5 times 11 to simplify the equation: 5X + 55 = 120
Subtract 55 from both sides of the equation: 5X = 120 - 55
Calculate the result on the right side: 5X = 65
Divide both sides by 5 to find X: X = 65 / 5
Thus, the original number of action figures each friend had is X = 13.
ANSWER FAST!! BRAINLIEST AND 20 POINTS!! calculate the return on investment in dollars and as a percentage for an investment that you purchase for $500 and sell for $600
MARK BRAILIEST !!!
Answer:
10 percent
600 - 500 = 100
100 divided by .10 = 10 %
Step-by-step explanation:
⭐ Answered by Kash ʕ •㉨• ʔ⭐
⭐ Brainliest would be appreciated!⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
please helppppppppppppppppppppppppppppppp
Answer:
median : 73
mean : 71.5
mode : 68 and 85 (?)
range: 35
Step-by-step explanation:
50, 50, 68, 68, 68, 78, 78, 85, 85, 85
median: order numbers least to greatest. add the two middle numbers, 68 and 78. divide by 2. 68 + 78 = 142 ,, 142 ÷ 2 = 73
mean: add all the numbers, then divide by the amount of numbers. 50 + 50 + 68 + 68 + 68 + 78 + 78 + 85 + 85 + 85 = 715. 715 ÷ 10 = 71.5
mode: the number that occurs the most,,theres two whoops 68 and 85
range: subtract the smallest number from the largest. 85 - 50 = 35
Ajar contains 30 red, 40 blue, and 50
white buttons. You pick one button
at random, find the probability that it
is blue.
Answer:
1/3
Step-by-step explanation:
so we are picking 40 blues from total number of buttons 120.
40 divided by 120 is 1 over 3.
what is unusual about the arrangement of the fossils in the diagram
Answer:
The oldest fossil is closer to the surface.
Step-by-step explanation:
Usually, the closer to the core of the Earth, the older the fossils. However, in this image, the oldest fossil is closer to the surface.
Answer:
The younger fossil is in the bottom layer, while the older fossil is in the top layer. These locations are opposite to the principle of superposition.
Step-by-step explanation:
Plato