An angle measures 58° less than the measure of a complementary angle. What is the measure of each angle?
Answer: 74 degrees and 16 degrees
Step-by-step explanation:
A pair of complementary angles add up to 90 degrees.
If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.
x + x-58 = 90 is the same as 2x -58 = 90.
Adding 58 to both sides gives 2x = 148,
and dividing both sides by two gives x = 74.
We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.
A guitar string has a lenght of 0.5 m. If the string is vibrating with a wavelength of 0.25 m, what harmonic is it vibrating at?
1st
4th
Зrd
2nd
Answer:
4th
Step-by-step explanation:
string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.
i need help on this question please help
Answer:
The area of each figure is:
Area of the rectangle = 10 square units.Area of the triangle = 10 square units.Area of the figure = 20 square units.Step-by-step explanation:
To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:
Area of a rectangle = width * heightArea of a rectangle = 2 units * 5 unitsArea of a rectangle = 10 square unitsNow, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:
Area of a triangle = (base * height) / 2Area of a triangle = (4 units * 5 units) / 2Area of a triangle = (20 square units / 2Area of a triangle = 10 square unitsAnd we obtain the area of the whole figure when we add the two areas:
Area of the figure = area of the triangle + area of the rectangleArea of the figure = 10 square units + 10 square unitsArea of the figure = 20 square units.As you can see, the area of the picture is 20 square units.
Find the area and circumference of the circle. Round any answer to the nearest hundredth. Please include the unit of measure in your answer.
Answer:
A=326.85 in² , C=64.09 in
Step-by-step explanation:
Area of a circle= πr²
r=10.2 in
Plug into a calculator
A=π(10.2 in)² = 326.85129....≈326.85 in²
Circumference = 2πr
C=2π(10.2) = 64.08849...≈64.09 in
Circle any part of this problem where you see a mistake (there is at least one) then explain why it was a mistake in the textbox and type in the correct answer.
Answer:
Circle the -3 or the -2 in the final product
Step-by-step explanation:
If you multiply it out, the last terms are -2 and -3 which equal 6, not negative 6 so, that would be wrong factoring.
Pllls helpp
(Identify the unit rate in dollars per square yard for each carpet company. )
Answer:
Carpet company a
Step-by-step explanation:
SOMEONE PLEASE HELP ME
Answer:
27
Step-by-step explanation:
math
In the figure, what is the value of x?
Answer:
it is going to be 6
Step-by-step explanation:
For a linear regression, what is the r-value of the following data to three
decimal places?
х
у
1
4
2
6 9
11
10
16
12
14
A. 0.665
B. -0.816
C. 0.816
D. -0.665
For a linear regression,
the value of r of the following data to three decimal places is 0.816.
The correct option is C.
What is a correlation coefficient?The precise metric used in a correlation analysis to quantify the strength of the linear relationship between two variables is the correlation coefficient. In a correlation report, the r stands for the coefficient.
A table is given.
For a linear regression analysis.
The calculation for mean and their sum is given in the attached image.
And the value of r is 0.816.
Therefore, the value of r is 0.816.
To learn more about the correlation coefficient;
https://brainly.com/question/15577278
#SPJ1
What is -2 1/6 -(-1 3/4)
Answer:
-5/12
Step-by-step explanation:
2 1/6 -(-1 3/4) =
-13/6 - (-7/4) =
-5/12
-5/12
Step-by-step explanation:
Step 1: Eliminating a negative and changing our operation
−2 1/6 + 1 3/4
Step 2: Rewriting our equation with parts separated
-2 − 1/6 + 1 + 3/4
Step 3: Solving the whole number parts
−2 + 1 = −1
Step 4: Solving the fraction parts
−1/6 + 3/4 = ?
Step 5: Find the LCD of 1/6 and 3/4 and rewrite to solve with the equivalent fractions.
LCD = 12
−2/12 + 9/12 = 7/12
Step 6: Combining the whole and fraction parts
−1 + 7/12 = −5/12
Help please ASAP thank you!!
And no links please no linksss!!
Given:
The dimensions of the square photo are 12'' × 12''.
The frame is 2 inches wider than the photo in both length and width.
To find:
The perimeter of the frame.
Solution:
We have,
Length of the photo = 12 inches
Width of the photo = 12 inches
The frame is 2 inches wider than the photo in both length and width. So,
Length of the frame = 12+2 inches
= 14 inches
Width of the frame = 12 inches
= 14 inches
The perimeter of a square is:
[tex]P=4a[/tex]
Where, a is the side length.
Now, the perimeter of the square frame with side 14 inches is:
[tex]P=4(14)[/tex]
[tex]P=56[/tex]
Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.
The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference
Help for Brainlyiest plsss
Answer:
n = 4
Step-by-step explanation:
The expression must equal 6. Thus, we can make an equation:
3n - (2 + n) = 6
We distribute the negative and take away the parenthesis:
3n - 2 - n = 6
We combine like terms:
2n - 2 = 6
We add 2 to both sides to isolate n:
2n = 8
We divide each side by 2:
n = 4.
What is the area of the parallelogram?
36 m 2
18 m 2
24 m 2
72 m 2
Answer:
36!
Step-by-step explanation:
Parallelogram's formula:
6 x 6 = 36
In this case 6 is your base and 6 is your height so we just multiply the two given lengths to get the area!
Answer:
36
Step-by-step explanation:
i hoped i helped like^^
1. If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial.
Answer:
[tex] {x}^{2} + 6x + 5[/tex]
Step-by-step explanation:
Required polynomial
[tex] {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5[/tex]
pls help me out!! ty in advance!!
Answer: x = 55°
Step-by-step explanation:
1) The angl of a straight line is 180°
one angle of the line is given, which is 125°
So, to find the other one we will do 125° + x = 180°
x = 55°
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
Help
Please edge 21 I really need help I don’t want to go to summer school
Answer:
C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts
Step-by-step explanation:
it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.
A line with slope of 1/2 contains the point (3,5). Which order pair also lie on this line. A. (1,6) B. (-1,7) C. (5,6) D. (1,-3)
Determine the lateral surface area and the total surface for the pyramid. Round your answer to the nearest whole number.
Separate your answers with a comma.
Answer:
[tex]L = 704[/tex]
[tex]S = 832[/tex]
Step-by-step explanation:
Given
[tex]H = 22[/tex] --- Height
[tex]W = 8[/tex] --- Width
[tex]L=8[/tex] ---- Length
Solving (a): The lateral surface area (L)
This is calculated as:
[tex]L = 2 * (L + W) * H[/tex]
This gives:
[tex]L = 2 * (8 + 8) * 22[/tex]
[tex]L = 2 * 16 * 22[/tex]
[tex]L = 704[/tex]
Solving (b): The total surface area (T)
This is calculated as:
[tex]S = 2 * (LW + WH + LH)[/tex]
This gives:
[tex]S = 2 * (8*8 + 8*22+ 8*22)[/tex]
[tex]S = 2 * (64 + 176+ 176)[/tex]
[tex]S = 2 * 416[/tex]
[tex]S = 832[/tex]
Trigonometry question (In image)
Answer:
Cosine
Step-by-step explanation:
8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?
Answer: $9.23
because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.
iready question 8 which graph does not represent a function
Answer:
The one that makes a circle
Step-by-step explanation:
Describe the correct answer to this problem including units what is the surface area of the figure
Answer:
A = 22.5π ft² ≈ 70.686 ft²Step-by-step explanation:
A = π×(2.5)² + π×2.5×6.5 = 6.25π + 16.25π = 22.5π ≈ 70.686 ft²
{6.5 ft is not a height, it's slant length}
1/). Help ASAP Find the area of each circle to the nearest tenth
Answer:
153.9
Step-by-step explanation:
PLZ HELP MEH PLZ :::
..............................................................
Answer:
form x = 6 ± √14
Step-by-step explanation:
I used mw so I'm sorry if worng
Hi guys it's nothing much but please help me out for braniest and 50 points NO LINK'S thank you
Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
Answer:
4.ADE /// ABC (same <s)
<D = <B (corresponding <s)
<E = <C (corresponding <s)
ADE and ABC share A as the same < so all <s are = (AAA )
Evaluate a + 4 when a =7
Answer:
11
Step-by-step explanation:
7 + 4 = 11
Answer:
11
Step-by-step explanation:
If a = 7, then a + 4 = 7 + 4 = 11
Hope that this helps!