Answers
Answer:
Measure of EF: 1.98
Measure of AB: 6.16
Measure of HI: 12.2
Step-by-step explanation:
Trick I learned that's very helpful when solving these problems: SOH (Sine, Opposite, Hypotenuse)- CAH (Cosine, Adjacent, Hypotenuse)- TOA (Tangent, Opposite, Adjacent)
MEASURE OF EF
you're starting with angle D which is 26 degrees. You have the measure of the Hypotenuse (DF) and you're trying to find the measure of EF (the segment opposite the angle) so you would use Sine
to do the equation, i'm going to use x in place of EF. 0.44 = sin(26)
Formula: sin(angle) = (opposite)/(hypotenuse)
Equation:
0.44 = x/4.5 <----------- multiply by 4.5 to get x by itself
4.5*0.44 = x <---------- 4.5 times 0.44
1.98= x <----------------answer
MEASURE OF AB
trying to find hypotenuse and you already have the adjacent angle so you would use cosine. Using y in place of AB. 0.616 = sin(52)
cos(angle) = (adjacent)/(hypotenuse)
cos(52) = 10/y <------ divide by y
y*0.616 = 10 <------------ divide by 0.616
y = 10/0.616 <----------- next you'll divide 10 by 0.616
y = 6.16 <-----------answer
MEASURE OF HI
trying to find adjacent, already have opposite so you would use tangent. tan(42) = 0.90. using z in place of HI
tan(angle) = (opposite)/(adjacent)
tan(42) = 11/z <------------ multiply z on both sides
z*0.90 = 11 <--------- divide by 0.90 to get z by itself
z = 11/0.90 <-------- divide 11 by 0.90
z = 12.2
Related Questions
Cuál es el resultado de la suma de 12/3 + 3 1/2
Answers
Answer:
el resultado es facil es: 7 1/2 espero que te ayude
Answer:
7 1/2
Step-by-step explanation:
You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measures of the interior angles of the triangle.
Answers
Answer:
Step-by-step explanation:
A linear pair are two given angles whose sum is equal to [tex]180^{o}[/tex].
Let the exterior angle be represented by [tex]x^{o}[/tex], and the three interior angles of the triangle be represented by [tex]a^{o}[/tex], [tex]b^{o}[/tex] and [tex]c^{o}[/tex].
Assume that the vertex angle [tex]c^{o}[/tex] is the linear pair to the exterior angle [tex]x^{o}[/tex].
i.e [tex]x^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles on a straight line)
Thus,
i. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex] (sum of two opposite interior angles is equal to an exterior angle)
⇒ [tex]a^{o}[/tex] = [tex]x^{o}[/tex] - [tex]b^{o}[/tex]
Also,
[tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
But,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
⇒ [tex]c^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]a^{o}[/tex] + [tex]b^{o}[/tex])
and
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]180^{o}[/tex] - [tex]c^{o}[/tex]
ii. [tex]a^{o}[/tex] + [tex]b^{o}[/tex] + [tex]c^{o}[/tex] = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]a^{o}[/tex] = [tex]180^{o}[/tex] - ([tex]b^{o}[/tex] + [tex]c^{o}[/tex])
Also,
[tex]a^{o}[/tex] + [tex]b^{o}[/tex] = [tex]x^{o}[/tex]
⇒ [tex]b^{o}[/tex] = [tex]x^{o}[/tex] - [tex]a^{o}[/tex]
[tex]c^{o}[/tex] = [tex]180^{o}[/tex] - [tex]x^{o}[/tex]
What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?
Answers
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )
Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )
Now , the equation for the slope of the line is given by ,
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )
Slope m = 2 / -1
Slope m = -2
Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
To learn more about equation of line click :
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9 3/4 as a percent step by step
Answers
Answer:
9 3/4 in a percent is 975%.
If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z?
Answers
How do you rotate a figure 180 degrees in anticlockwise or clockwise direction on a graph?
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).
Worked-out examples on 180 degree rotation about the origin:
1. Find the co-ordinates of the points obtained on rotating the points given below through 180° about the origin. i) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5)
(ii) The new position of the point B (-2, 7) will be B' (2, -7)
(iii) The new position of the point C (-5, -8) will be C' (5, 8)
(iv) The new position of the point D (9, -4) will be D' (-9, 4)
2. Plot the point M (-1, 4) on the graph paper and rotate it through 180° in the anticlockwise direction about the origin O. Find the new position of M.
Solution: When rotated through 180° in the anticlockwise direction about the origin O, then M (-1, 4) → M'' (1, -4).
3. Draw a line segment joining the point P (-3, 1) and Q (2, 3) on the graph paper and rotate it through 180° about the origin in anticlockwise direction.
Solution: On plotting the points P (-3, 1) and Q (2, 3) on the graph paper to get the line segment PQ.
Now rotate PQ through 180° about the origin O in anticlockwise direction, the new position of points P and Q is:
P (-3, 1) → P' (3, -1)
Q (2, 3) → Q' (-2, -3)
Thus, the new position of line segment PQ is P'Q'.
4. Draw a line segment MN joining the point M (-2, 3) and N (1, 4) on the graph paper. Rotate it through 180° in anticlockwise direction.
Solution: plotting the points M (-2, 3) and N (1, 4) on the graph paper to get the line segment MN.
Now, rotating MN through 180° about the origin O in anticlockwise direction, the new position of points M and N is:
M (-2, 3) → M' (2, -3)
N (1, 4) → N' (-1, -4)
Thus, the new position of line segment MN is M'N'. 5. Draw a triangle PQR by joining the points P (1, 4), Q (3, 1), R (2, -1) on the graph paper. Now rotate the triangle formed about the origin through 180° in clockwise direction.
Solution: We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is:
P (1, 4) → P' (-1, -4)
Q (3, 1) → Q' (-3, -1)
R (2, -1) → R' (-2, 1)
Thus, the new position of ∆PQR is ∆P’Q’R’.
Answer:
im not sure if there is a picture it would help more :)
Step-by-step explanation:
Lisa puts $8,000 in an account that earns 12% simple annual interest. If she leaves her money in the account for 4 years, how much interest will she earn?
Answers
Answer:
392000
Step-by-step explanation:A=p(1+
7. Constructed Response: Work and answer will be scored on a 3-point
rubric. A garden is bordered on three sides by a tiled walkway. (see
diagram below). PART A: Write a polynomial that represents the total area
of the garden AND the walkway combined, in standard form. *
Fence
x ft
x ft
Garden
10 ft
-25 ft
Walkway
x ft
Answers
Answer:
the answer is -25
Step-by-step explanation:
the answer is -25
Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540. Which school offers the better deal?
Answers
Answer:
Piano Play
Step-by-step explanation:
Answer:
Piano Play offers the better deal.
Step-by-step explanation:
If you divide $525 by 10 you will get $52.50 every hour for Make Music but if you divide $540 by 12 you will get $45 every hour for Piano Play so Piano Play offers the better deal.
Hope this helps!!
Find the perimeter of the figure.
9 mi
5 mi
9 mi
4 mi
Answers
I have no idea how to do this, any clues?
Answers
Answer:
(2x-5)+(x+25)+x
4x+20
Step-by-step explanation:
Simplify the expression.
y-8= 4(x-10
...............
Answers
Answer:
y=mx+b
y=4x-32
Answer:
y=23
Step-by-step explanation:
place the following numbers in order from least to greatest
-8.2, 0.4, NEGATIVE 2 AND 1/2, and 2.4
Answers
Answer:
-8.2,-2 1/2, 0.4,2.4
Step-by-step explanation:
hope that helps
Part A what is the measure of the missing angle in the triangle?
Answers
Answer:
39
Step-by-step explanation:
the interior angles of a triangle equal 180.
180-(51+90)
180- 141 = 39
hope this helps :)
5.(A.3A) The table represents some points on the graph
of a linear function. What is the slope of this
function?
х у
-6-7
0-10
6-13
12-16
Answers
Answer:
3
Step-by-step explanation:
Which expression is equal to (1.5)3? Select all that apply. A. 5.0625 B. 3.375 C. 4.5 D. 2.25 × 1.5 E. 2.5 × 1.25
Answers
Answer:
its B and D
Step-by-step explanation:
cause 1.5 times 1.5 times 1.5 is 3.375 which is (1.5) and the explanation for D is that 2.5 times 1.25 Is 3.375 which is (1.5) Hope i helped:)
The expression is equivalent to 3.375 and 2.25 × 1.5.
We have to determine
Which expression is equal to [tex](1.5)^3[/tex]?
The expression is equivalent to;
[tex]= (1.5)^3\\\\= 1.5 \times 1.5 \times 1.5\\\\= 3.375[/tex]
Therefore,
The expression is equivalent to;
[tex]= 2.25 \times 1.5\\\\= 3.375[/tex]
Hence, the expression is equivalent to 3.375 and 2.25 × 1.5.
To know more about Expression click the link given below.
https://brainly.com/question/19943359
Bob buys eggs and potatoes at the store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount.
What equation can be used to determine the cost, x, of each bag of potatoes?
Answers
Which of the following statements about the congruent triangles below is true?
A.) AB=DE
B.) AC=EF
C.) AC=DE
D.) BC=DE
Answers
Answer:
AB=DE
Step-by-step explanation:
they're literally the only pair on the same sides lol
The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have two triangles shown in the picture.
As we know from the definition of the congruent triangle, the same size, and shape.
The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle
Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
Learn more about the congruent triangle here:
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What’s the answer
What are the slope and the y-intercept of the linear function that is represented by the graph
Answers
Which system of equations represents the graph?
Answers
Answer:
B
Step-by-step explanation:
if you look at the line one going up, the y axis is at the negatives meaning it begins as -5 . Then notice how it goes up 3 times and it goes to the right once. So the slope is 3/1 or simplified 3 so we know the slope intercept form is = y is 3x-5. Now we look at the second one. None of the answers of the second one are in slope intercept form. for that you have to turn them into it. When you do that for B will be y= -1/2x + 2. When you look at the line the y axis is 2 and the slope is -1/2x.
Which of the following expressions are equivalent to 20t5⋅2−4t?
There may be more than one correct answer. Select all that apply.
Answers
Answer:mark brain list answers
mark
get 3 point
freee
Step-by-step explanation:
Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary
Answers
Answer:
The length of segment JK is 5[tex]\sqrt{5}[/tex] ⇒ C
Step-by-step explanation:
The formula of the distance between the two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
Let us use the formula above to solve the question
∵ Jk is a line segment
∵ J = (4, 8) and K = (-1, -2)
∴ x1 = 4 and y1 = 8
∴ x2 = -1 and y2 = -2
→ Substitute them in the formula above
∵ JK = [tex]\sqrt{(-1-4)^{2}+(-2-8)^{2}}[/tex]
∴ JK = [tex]\sqrt{(-5)^{2}+(-10)^{2}}[/tex]
∴ Jk = [tex]\sqrt{25+100}[/tex]
∴ Jk = [tex]\sqrt{125}[/tex]
→ Simplify the root
∵ 125 = 5 × 5 × 5
∴ [tex]\sqrt{125}[/tex] = 5[tex]\sqrt{5}[/tex]
∴ JK = 5[tex]\sqrt{5}[/tex]
∴ The length of segment JK is 5[tex]\sqrt{5}[/tex]
The graph shows the average speed of Car 1 which is traveling on a highway. The equation y= 55x represents the average speed of Car 2, where y is the distance in miles and x is the time in hours. Which car is traveling at the greater speed?
Answers
Answer:
Car 1 is traveling faster than Car 2. Car 1 is traveling at a speed of 64 miles per hour and Car 2 is traveling at a speed of 55 miles per hour.
HELP QUICKLY!!!
what is the y intercept of the line
Answers
Answer:
-23
Step-by-step explanation:
the equation of the line is y=-2/3x-23 so the b in the equation (y=mx+b) is the y int so that is -23
i need the answer to this please help
Answers
Answer:
-1/11
Step-by-step explanation:
[tex]\frac{11x}{12} -\frac{1}{6} =\frac{-1}{4}[/tex] add 1/6 to both sides
[tex]\frac{11x}{12} =\frac{1}{6} -\frac{1}{4}[/tex] make the same denominator 12 on the right side
[tex]\frac{11x}{12} =\frac{1}{6}*\frac{2}{2} -\frac{1}{4}*\frac{3}{3}[/tex] solve
[tex]\frac{11x}{12} =\frac{2}{12} -\frac{3}{12} =\frac{2-3}{12} = \frac{-1}{12}[/tex]
[tex]\frac{11x}{12}*12 =\frac{-1}{12} *12[/tex] multiply by 12 both sides
11x= -1 divide by 11
x= -1/11
what's the slope intercept form
Answers
the product of two consecutive integers is 72. find the integers
Answers
Answer:
the integers are 8 and 9
Step-by-step explanation:
consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.
ANSWER ASAP PLEASE & SHOW UR WORK!!!
Find the real or imaginary solutions. x^4 + 3x^2 - 18 = 0
Answers
Answer:
[tex]x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}[/tex]
Step-by-step explanation:
Biquadratic Equations
Solve:
[tex]x^4 + 3x^2 - 18 = 0[/tex]
The biquadratic equations are equations of degree 4 without the terms of degree 1 and 3.
Solving such equations requires to express the equation as a second-degree equation with [tex]x^2[/tex] as the variable.
Rewriting the equation:
[tex](x^2)^2 + 3(x^2) - 18 = 0[/tex]
The quadratic equation can be factored as:
[tex](x^2+6)(x^2-3)=0[/tex]
It leads to two equations:
[tex]x^2+6=0[/tex]
[tex]x^2-3=0[/tex]
The first equation has imaginary roots. Solving for x:
[tex]x^2=-6[/tex]
[tex]x=\pm\sqrt{-6}[/tex]
[tex]x_1=\mathbf{i}\sqrt{6}[/tex]
[tex]x_2=-\mathbf{i}\sqrt{6}[/tex]
Where
[tex]\mathbf{i}=\sqrt{-1}[/tex]
The second equation has two real roots:
[tex]x^2-3=0[/tex]
[tex]x^2=3[/tex]
[tex]x=\pm\sqrt{3}[/tex]
[tex]x_3=\sqrt{3}[/tex]
[tex]x_4=-\sqrt{3}[/tex]
The roots are:
[tex]\mathbf{x_1=\mathbf{i}\sqrt{6},\ x_2=-\mathbf{i}\sqrt{6},\ x_3=\sqrt{3},\ x_4=-\sqrt{3}}[/tex]
Given a slope of 3 and the point (2, 1), find the Y-intercept of the line.
Answers
Answer:
(0,-5)
Step-by-step explanation:
my work is in the picture I attached. lmk if you'd like me to explain more :)
Step-by-step explanation:
19 - (- 41)
plzzzzzz help fast!
Answers
Answer:
60
Step-by-step explanation:
Is because when you have two negative -- signs it became positive
19 + 41 = 60
Answer:
60
Step-by-step explanation:
19 - (- 41) by the power of math, it turns into a positive and the subtraction sign to an addition
19 + (+41)
19+40= 60
aflati termenul necunoscut din egalitatile de mai jos
a)x-2002=41535-1003 b)20+x-30=150-20;
c) x-(284-130)=110 d)853-(x + 1)=249;
e)613-(243-11-x)=549; f)312+11-(x+4)=323-(51+93
Answers
Answer:easy thats C
Step-by-step explanation:
enjoy