Answers
Answer:
θ = 51.7
SOH-CAH-TOA
CAH: COS = ADJ/HYP cos(θ) = 19.4/29.3
θ = 48.5
93.2 + 48.5 + x = 180
x = 38.3
90 + 38.3 + θ = 180
θ = 51.7
Step-by-step explanation:
Related Questions
Use a number line to represent the following. (a) {-4,-1, 0, 2, 3}
Answers
Step-by-step explanation:
sorry I couldn't draw it properly but that is it...
I hope it helps
Answer:
Step-by-step explanation:
Draw a line and divide it into 13 equal parts.
Mark 0 in the middle of number line.
Mark negative numbers to the left of zero and mark positive numbers to the right of zero.
A photographer needs a frame for an 5 x 7 inch picture, such that the total area is 80 in? Calculate the width of
the frame. Which of the following quadratic equations would be used when solving this?
4x^2 + 24x = 45
4x^2 + 12x = 45
2x^2 + 24 = 45
2x^2 + 12x = 45
Answers
Answer:
4·x² + 24·x = 45
Step-by-step explanation:
The total area of the frame and picture needed by the photographer = 80 in²
The size of the picture that will be in the frame = 5 × 7 inch
The length of the picture = 7 inches
The width of the picture = 5 inches
Let x represent the width of the frame, we get;
The width of the total area = The width of the picture + 2 × The width of the frame
Therefore, the width of the total area = 5 + 2·x
The length of the total area = The length of the picture + 2 × The width of the frame
Therefore, the length of the total area = 7 + 2·x
We get;
The total area = Total length × Total width
∴ The total area = (5 + 2·x) × (7 + 2·x)
We are given that the total area = 80, therefore, by transitive property of equality, we have;
(5 + 2·x) × (7 + 2·x) = 80
35 + 10·x + 14·x + 4·x² = 80
4·x² + 24·x = 80 - 35 = 45
∴ 4·x² + 24·x = 45
Therefore, the quadratic equation that can be used in solving for the width is 4·x² + 24·x = 45.
Answer:
The answer is 4x^2+24x=45
Step-by-step explanation:
I got it right on my test.
What is the area of the obtuse triangle below?
11
13
A. 12 sq. units
7
B. 71.5 sq. units
C. 24.5 sq. units
D. 143 sq. units
Answers
I need help I don't understand at all.
Answers
1/4x - 2 = -6 + 5/12x
Step 1: Subtract 5/12x from both sides.
So now the problem is: -1/6x - 2 = -6
Step 2: Add 2 to both sides
So now the problem is -1/6x = -4
Step 3: Multiply -6 to both sides
Now you have x alone and 24
Answer: x = 24
please mark this answer as brainlist
find the length of x
Answers
Answer:
7/2 =x
Step-by-step explanation:
The triangles are similar so we can write a ratio to solve
2 4
---- = -------
x 7
Using cross products
2*7 = 4x
14 = 4x
14/4 = 4x/4
7/2 =x
Answer:
[tex]x=3\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{2} :\frac{7}{x}[/tex]
x · 4 = 7 · 2
4x = 14
4x ÷ 4 = 14 ÷ 4
x = 3.5
can anyone answer this please
Answers
Answer:
4
Step-by-step explanation:
x=3
x2 means 3 square (+3)
3×3+3
=9+3
12÷3
4
Find range
of
f(x) =
[tex]1 \div ( |x| - x)[/tex]
Answers
Step-by-step explanation:
We need to find thr range if
[tex] \frac{1}{ (|x| - x)} [/tex]
The absoulte value of something is positive.
So
[tex] \frac{1}{x - x} = \frac{1}{0} [/tex]
This function isn't possible so no range exist.
Rewrite the series as a sum (show all work)
Answers
Answer:
1144
Step-by-step explanation:
100 + 98 + 96 +.... + 78+76 =
(12-0)/2 (176)
(6.5) (176) = 1144
The sum of the series will be 1068.
We have the following expression -
[tex]\sum_{i=0}^{12} 100 - 2i[/tex]
We have to rewrite the series as the sum.
What do you mean by Series ?A series in mathematics is the sum of a list of numbers that are generated according to some pattern.
We have the following expression -
[tex]\sum_{i=0}^{12} 100 - 2i[/tex]
The terms of this series can be calculated by calculating the value of the function at different values of i.
The series is as follows -
100 + 98 + 96 +.... + 78+76
This is an arithmetic progression with a = 100 and d = - 2 and n = 12. The sum of this series is -
[tex]S = \frac{n}{2} \times {2a + (n-1)d}[/tex]
S = [tex]\frac{12}{2} [{2 \times 100 + (12 -1)(-2)] = 6[200+ 11 \times -2] = 6[200 -22][/tex]
S = 6 x 178 = 1068
The sum of the series will be 1068.
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PLEASE HELP HURRY!!!!!!!!!
What is the length of PC¯¯¯¯¯?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.
____ cm
Description of drawing:
Circle A with a tangent and a secant. Point B at 11 o clock, point C at 12 o clock, and point D at 7 o clock are on the circle. Point P is at 11 o clock outside of the circle. Tangent P C and secant B D intersect at point P. Segment P B is labeled as 4 centimeters. Segment B D is labeled as 52 centimeters.
Answers
Answer:
PC = 14.42 cm
Step-by-step explanation:
If a tangent and secant are drawn from a point outside a circle, then the product of the lengths of the segments of the secant is equal to the square of the length of the tangent.
PC² = PB × BD
PC² = 4 × 52
PC² = 208
PC = [tex]\sqrt{208}[/tex]
PC = 14.42 cm
The length of PC=14.42 cm.
when a tangent and secant are drawn from a point outside a circle, then the multiplication of the lengths of the segments of the secant is equal to the square of the length of the tangent.
What is the relation between the tangent and secant line?
PC² = PB × BD
Use the given value in above formula we get,
PC² = 4 × 52
PC² = 208
[tex]PC = \sqrt{208}[/tex]
Therefore we get the value of PC is,PC = 14.42 cm.
Therefor the length of PC=14.42 cm.
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Make y the subject of this formulae X=a-2by^2
Answers
Answer:
[tex]y = \sqrt{\frac{x- a}{2b}}[/tex]
Step-by-step explanation:
Step 1: Make y the subject of this formula
[tex]x- a = a - a - 2by^{2}[/tex]
[tex]\frac{x- a}{2b} = \frac{2by^{2}}{2b}[/tex]
[tex]\sqrt{\frac{x- a}{2b}} = \sqrt{y^{2}}[/tex]
[tex]\sqrt{\frac{x- a}{2b}} = y[/tex]
Answer: [tex]y = \sqrt{\frac{x- a}{2b}}[/tex]
Which expression gives the surface area of a sphere with radius 3x?
Answers
Explanation
Answer:
=> 12πr²
Step-by-step explanation:
The Surface area of sphere is 4πr²
so the surface area of sphere with radius 3x will be
=> 4×3πr²
=> 12πr²
A pitcher of juice holds 6 cups. How many 2/3 -cup servings of juice are in the pitcher?
serving-
please help ill give brainliest
Answers
Answer:
Step-by-step explanation:
6 ÷ (⅔) = 6 × (3/2) = 9
There are nine ⅔-cup servings per pitcher.
To the nearest tenth of a second, the ball is in the air for s.
Answers
Answer:
2.4
Step-by-step explanation:
Took the assignment
Answer:
2.4 seconds is the correct answer.
Step-by-step explanation:
Just completed it.
Which of the following answer choices correctly expresses the number 64?
A. 4'6
B. 4'5
C. 4'4
D. 4'3
Answers
Answer:
4’3
Step-by-step explanation:
Took test
Answer:
4’3
Step-by-step explanation:
what is -10/19÷-5/7 but not converted into a decimal please!
Answers
Answer:
14/19
Step-by-step explanation:
Dividing fractions is the same as multiplying by the reciprocal:
-10/19 ÷ -5/7
-10/19 x -7/5
Multiply the numerators by each other, as well as the denominators:
70/95
Simplify by dividing both the numerator and denominator by 5:
= 14/19
So, the answer is 14/19
Help me to solve this fast ( prove it)
Answers
Step-by-step explanation:
sec⁴A + tan⁴A = 1 + (2tan²A/cos²A)
LHS = sec⁴A + tan⁴A
= (sec²A)² + (tan²A)² {using formula of a²+b²)
= (sec²A-tan²A) + 2tan²A.sec²A
= 1 + {2tan²A.(1/cos²A)}
= 1 + (2tan²A/cos²A)
Triangle ABC is shown below with line DE passing through the center:
Triangle ABC is shown with line DE running horizontally through the center of the figure.
If triangle ABC is dilated by a scale factor of three about the center of the triangle, dilated line D'E' will (6 points)
be parallel to the original line
shift three units to the right
be perpendicular to the original line
pass through points D and E
Answers
Answer:
D'E' be parallel to the original line
Step-by-step explanation:
Given
[tex]\triangle ABC[/tex]
Line [tex]DE[/tex]
[tex]k = 3[/tex] -- scale factor
Required
The relationship between [tex]DE[/tex] and [tex]D'E'[/tex]
When [tex]\triangle ABC[/tex] is dilated by a scale factor of 3, [tex]\triangle A'B'C'[/tex] will be three times as big as [tex]\triangle ABC[/tex].
Also:
Line [tex]D'E'[/tex] will be three times as long as [tex]DE[/tex]
Since no further transformation is done on [tex]\triangle ABC[/tex] and line [tex]DE[/tex], then [tex]D'E'[/tex] will be parallel to [tex]DE[/tex]
Pls help me with this problem
Answers
[tex]3x - 8 = 4x - 17 \\ \\ \sf \longmapsto \: 3x + 4x = - 17 + 8 \\ \\ \sf \longmapsto \: 7x = - 9 \\ \\ \sf \longmapsto \: x = \frac{ - 9}{7} [/tex]
If a block weighs 8kg PLUS half a block.
What is the weight of a block and a half?
Answers
Answer:12kg
Step-by-step explanation:
8kg+4kg=12kg
the 4kg came from the half block
se um bloco pesa 8 kg meio bloco pesa 4 kg então é só juntar 8+4=12
Independent Practice
x
0
1
2
3
4
y
2
1.5
1
0.5
0
Which kind of function best models the data in the table? Write an equation to model the data.
A.
linear; y= 1 2 x+2
B.
quadratic; y=− x 2
C.
quadratic; y=− 1 2 x 2
D.
linear; y=− 1 2 x+2
Answers
Answer:
D. linear; y = - 1/2x + 2
Step-by-step explanation:
As the values of x increase by 1, the values of y decrease by 0.5. This means that we have a negative linear relationship of 1/2. In other words, the slope is -1/2. Our y-intercept is 2 since when x = 0, y = 2. So, D is the correct choice.
Point T is the centroid. Find TE if XE =21
Answers
Answer:
7
Step-by-step explanation:
Thing about centroids is they create segments that are spilt with one piece [tex]\frac{1}{3}[/tex] and the larger piece [tex]\frac{2}{3}[/tex] .
So, if the whole segment is 21, then the large piece is [tex]\frac{2}{3}[/tex] of 21. The small piece is [tex]\frac{1}{3}[/tex] of 21.
TE = 21 · [tex]\frac{1}{3}[/tex] = [tex]\frac{21}{3}[/tex] = 7
Which graph represents an odd function?
y
6
4
.
2
.
O
-6..
4
-2.
2.
.
B
х
لند
4
9
TV
Answers
Answer:
the odd graph represented is
y
6
4
1st graph represents the odd function because it is symmetric about origin
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
For a function f to be odd, it should satisfy the following equation:
f(-x) = -f(x)
For a function f to be even
f(-x)=f(x)
The graph of an odd function will always be symmetric about the origin.
By observing the graphs we can say that:
1st graph is symmetric about origin and hence it is an odd function.
2nd graph is symmetric about y-axis.Hence it is not an odd function.
Hence, 1st graph represents the odd function because it is symmetric about origin
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If 1125 = 3^m × 5^n ;find the value of m and n.
Answers
9514 1404 393
Answer:
m = 2
n = 3
Step-by-step explanation:
1125 = 9·125 = 3^2 · 5^3
m = 2
n = 3
_____
Additional comment
Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.
1125/5 = 225
225/5 = 45
45/5 = 9
9/3 = 3
3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.
Givenl || m | n, find the value of x.
m
44°
n
Submit Answer
PLS HELP
Answers
Answer:
x=136
Step-by-step explanation:
Go Long Telephone Company charges a flat rate of $18.75 per month plus $0.18 per minute. To Call Telephone Company charges a flat rate of$12.51 per month plus $0.42 per minute. How many minutes would a customer need to use in order for the bill from Go Long and Via Call to be equal at the end of the month?
Answers
9514 1404 393
Answer:
26 minutes
Step-by-step explanation:
Let x represent the number of minutes used. The charges will be equal when ...
18.75 +0.18x = 12.51 +0.42x
6.24 = 0.24x . . . . . . . . . . . . . . . subtract 0.18x+12.51
26 = x . . . . . . . . . . . . . . . divide by 0.24
A customer using 26 minutes will receive the same bill from either company.
I cant seem to get the answer right, please help me!!!
Answers
Answer:
6pi=2pi(r)(120/360)
r=9
C=(pi)d
C=(pi)18
c=18pi
Step-by-step explanation:
Answer:
Step-by-step explanation:
The measurement of AC = 6pi
120/360 * pi * 2 * R = 6*pi The pi values cancel out.
1/3 * 2 * R = 6 Multiply by 3
2R = 18 Divide by 2
R = 9
the circumference = 2 * pi * R
C = 2 * pi *9
C = 18 * pi
Now you want the measurement of arc AB
120 = 6 * pi
30 = x
120/30 = 6pi/x Cross multiply
120 * x = 180 * pi Divide by 120
x = 180 pi / 120
x = 3/2 * pi
So the measurement of arc AB = 1.5 * pi
Use the ordered pairs to give a function rule. Give the rule in slope intercept form {(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)}
Answers
Answer:
[tex]y = -0.25x -1.5[/tex]
Step-by-step explanation:
Given
[tex](x,y) = \{(-12,1.5)(-1,-1.25),(5,-2.75),(8,-3.5)\}[/tex]
Required
The function rule (in slope intercept)
First, we calculate the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{-1.25 -1.5}{-1 - -12}[/tex]
[tex]m = \frac{-2.75}{11}[/tex]
[tex]m = -\frac{2.75}{11}[/tex]
[tex]m = -0.25[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -0.25(x - -12) + 1.5[/tex]
[tex]y = -0.25(x +12) + 1.5[/tex]
Open bracket
[tex]y = -0.25x -3 + 1.5[/tex]
[tex]y = -0.25x -1.5[/tex]
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and c are constants.
Answers
Answer:
Y =-10X +5
Step-by-step explanation:
x1 y1 x2 y2
1 -5 0 5
(Y2-Y1) (5)-(-5)= 10 ΔY 10
(X2-X1) (0)-(1)= -1 ΔX -1
slope= -10
B= 5
Y =-10X +5
Answer:
y = -2x2 + 8x + 5.
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
y = -2/3x + 7
Complete the table based on the given domain.
Answers
Answer:
hope it helps plz mark me brainliest!
Step-by-step explanation:
4x² - 3, x less than/equal to 0
Step-by-step explanation:
y = (-1/2)[(x+3)^½]
(x+3)^½ = -2y
Square both sides,
(x+3) = (-2y)²
x+3 = 4y²
x = 4y²-3
Interswitch x and y
Inverse is 4x²-3
Domain of inverse is the range of f.
The range of f is less than/equal to 0
Because at x = -3, f(x) = 0
For x > -3, f(x) is negative
Domain of inverse is x less than/equal to 0
Solve 7n + 2 = 4n + 17.
Answers
Answer:
n=5
Step-by-step explanation:
7n+2=4n+17
Subtract 2 from both sides
7n=4n+15
Subtract 4n
3n=15
Divide by 3
n=5
I hope it helps!
Answer:
7n+2=4n+17
7n+2−2=4n+17−2
7n=4n+15
7n−4n=4n+15−4n
3n=15
3n/3=15/3
n=5
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