Answers:
x = 4AB = 36BC = 36AC = 36All three sides are 36 units long.
===========================================================
Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
AB = 8x+4 = 8*4+4 = 32+4 = 36BC = 11x-8 = 11*4-8 = 44-8 = 36AC = 9x = 9*4 = 36We get the same value for the three side lengths, so this confirms we have the correct x value.
(2, 5) and (-4, 5)
If these points are graphed on a coordinate plane, what is the distance between them, in units?
Answer:6 units
Step-by-step explanation:
Mr. McShane wants to cut a board that is 3/4 feet long into 4 pieces of equal length. How long is each piece?
Trigonometric identities assignment 4
Simplify 5 sin ø sec ø
A. 5 cot ø
B. 5
C. 5 cos ø
D. 5 tan ø
Answer:
Answer: choice D.
Step-by-step explanation:
Trigonometric Functions
We need to recall some properties and definitions of the trigonometric functions.
[tex]\displaystyle \tan \theta=\frac{\sin\theta}{\cos\theta}[/tex]
[tex]\displaystyle \sec \theta=\frac{1}{\cos\theta}[/tex]
We need to simplify the following expression:
[tex]5\sin\theta\sec\theta[/tex]
Substituting the identity for the secant:
[tex]\displaystyle 5\sin\theta\sec\theta=5\sin\theta.\frac{1}{\cos\theta}[/tex]
Operating:
[tex]\displaystyle 5\sin\theta\sec\theta=5\frac{\sin\theta}{\cos\theta}[/tex]
Substituting the definition of the tangent:
[tex]\displaystyle 5\sin\theta\sec\theta=5\tan\theta[/tex]
Correct choice D.
I need help, my teacher didnt teach up this
Answer:
The volume is 1539.38
Step-by-step explanation:
Answer:
384.7 cubic inches
Step-by-step explanation:
formula to find Volume of a Cylinder:
V = π · r² · h
7 is the diameter, so r = 3.5
V = π (3.5)² · 10
V = π (12.25)(10)
V = π · 122.5
V ≈ 384.7 in³
(-5x + 14y =17
( 9x - 6y = 27
solve by elimination
Answer:
point slope form: (5,3)
equation form: X=5, Y=3
Find the average rate of change
f(x)=x^2+9x+13 where x2=5 and x1=2
the answer in the picture
HELP FAST PLEASE I'LL MARK YOU BRAINLIEST
Which equation represents the line that is perpendicular to y = 3x + 5 and passes through the point (-3, -4)?
1. y = (2/3)x − 5
2. y = −5x − (1/3)
3. y = (1/3)x − 5
4. y = −(1/3)x − 5
Answer: y = -1/3x -5 (4th option is correct)
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal --> -1/3Find b.-4 = -3(-1/3) + b-4 = 1 +b-5 = bwhat is the square root of 5 divided by 5 square root of 3?
Pls help and show workings
Options
A. 14
B. 36
C. 54
D. 90
Answer:
(C). 54°
Step-by-step explanation:
m∠3 + m∠4 = 90°
m∠1 = m∠4 = 2x + 8
(4x - 2)° + (2x + 8)° = 90°
4x - 2 + 2x + 8 = 90
6x + 6 = 90
6x = 84
x = 14
m∠6 = m∠3 = 4(14) - 2 = 54°
Solve y3 = 64.
A.
y
=
6
4
3
y=
3
64
B.
y = 8
C.
y = 16
D.
y = 4
Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *
a,38.29
b.27.29
c.0.55
d.0.45
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has length 1/3 in. and width 1/6 in. The actual tiles have length 1/2 ft and width 1/4 ft. What is the ratio of the length of a tile in the model to the length of an actual tile? What is the ratio of the area of a tile in the model to the area of an actual tile? Use pencil and paper. Describe two ways to find each ratio.
Answer:
1/8 and 1/324
This graph shows the solution to which inequality?
5
(3,2)
5
(-3,-6)
O A. yx-2
OB. ysx-2
O c. y< x-2
OD. y -2
Answer:
letss seeee
Step-by-step explanation:
c.
The graph shows the solution to y ≥ 2 and y < x inequality.
we have:
y ≤ 2
y ≥ 2
x > 2
y > 2
The graph is limited by a line; y = 2 (red line).
The part corresponds to the part in which y > 2.
The line is continuous, so 2 is also included in the interval
y ≥ 2
Then to find if it is "less than" (<) or "less than or equal to" (≤):
Since the line that limits this interval. The line is y = x, it is a dotted line, the extreme is not included.
In summary:
y < x
Answer is B. y ≥ 2 and y < x
Learn more about inequality ;
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Write an equation of the line that passes through the given point and has the given slope. (6, 4); slope -3/4
Answer:
y=-3/4x+17/2
Step-by-step explanation:
the equation for slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
since we know the slope of the line, we can substitute it into the equation
y=-3/4x+b
we need to find b though.
since the equation will pass through the point (6,4) that means that if we plug it into the equation, it'll be a true statement; in this case, we can use it to solve for b.
substitute (6,4) into the equation
4=-3/4(6)+b
multiply
4=-9/2+b
17/2=b
the y intercept is 17/2
therefore the equation of the line is y=-3/4x+17/2
hope this helps :)
A baseball team had 80 players show up for tryouts last year and this year had 96 players show up for tryouts. Find the percent increase in players from last year to this year.
(Please dont just give the answer. I would appreciate it if you would put how to find the answer. Thanks )
Answer: x/100 = 96 - 80/80
so you multiply 80 times x and multiply 96-80 by 100 so
80x=1600
x= 20%
Step-by-step explanation:
Did I get this correct
Answer:
Yep
Step-by-step explanation:
Help me please find the slope and y-intercept
Answer:
Slope is 2.15
y-intercept is 2
Step-by-step explanation:
We need to find slope and y-intercept of the graph given.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Looking at the graph, we can find 2 points
Point 1 : (0,-2)
Point (2): (2,-2.3)
Now putting values and finding slope:
We have: [tex]x_1=0, y_1=-2, x_2=2, y_2=-2.3[/tex]
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15[/tex]
So, we get slope = 2.15
Now, finding y-intercept
y-intercept can be found if we put x =0
Looking at the graph, when x =0, y = 2
So, y-intercept is 2
Which graph represents functions ?
ill give brainly if right!!
Answer:
The weight of square is 8 grams.
Step-by-step explanation:
Given that,
The weight of the circle = 2 grams
The weight of the triangle = 4 grams
We need to find the weight of the square. Let the weight of each square is w.
On LHS, 2 circles and 4 squares are there.
On RHS, 2 squares, 4 triangles and 2 circles are there.
For a balanced position,
Weight on LHS = Weight on RHS
[tex]2\times \text{weight of circle}+4\times \text{weight of squares}=2\times \text{weight of squares}+4\times \text{weight of triangles }+2\times \text{weight of circle}[/tex]2(2)+4(w) = 2(w) + 4(4) +2(2)
4 + 4w = 2w +16 +4
4w-2w = 20-4
2w = 16
w = 8
So, weight of square is 8 grams.
There are 3 feet in 1 yard.Find the number of feet in a 15 yard run by a football player.
Answer:
45
Step-by-step explanation:
15*3=45
Answer:
45
Step-by-step explanation:
help plz plz plz plz
Answer:
2.8 In is the answer to the question
Step-by-step explanation:
Nw+WD=ND
20 POINTS HELP QUICKLY
Mrs. Carter puts a variety of wrapped chocolate candies into a bag. There
are 5 silver-wrapped candies, 1 purple-wrapped candy, 2 striped candies,
and 4 gold-wrapped candies. If 15 students select one candy at a time out
of the bag without looking, and replace the candy after each draw, how
many students would be expected to select a gold-wrapped candy from the
bag?
A. 4 Students
B. 5 Students
C. 15 Students
D. 60 Students
Answer:
4
there is only 4 golden wrapped candies
Answer:
B. 5 students
Step-by-step explanation:
There are 12 different candies to pick from, only 4 of which are gold. To find the chances of getting gold you divide 4 gold by the total of 12. This gives you a 1/3 chance of getting gold.
Since the chances are the same each time, you should expect 1/3 of the students to pick gold. So, divide 15 by 3(or multiply 15 by 1/3, same thing), to get 5 students.
Why did some World War I veterans demand their government bonus in 1932 instead of waiting until 1945, when it was promised to be paid?
Answer:
The Bonus Army was a group of 43,000 demonstrators – made up of 17,000 U.S. World War I veterans, together with their families and affiliated groups – who gathered in Washington, D.C. in mid-1932 to demand early cash redemption of their service certificates. Organizers called the demonstrators the "Bonus Expeditionary Force", to echo the name of World War I's American Expeditionary Forces, while the media referred to them as the "Bonus Army" or "Bonus Marchers". The demonstrators were led by Walter W. Waters, a former sergeant.
Step-by-step explanation:
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are
tangent.
A) 215°
C) 252°
B) 220°
D) 205°
Find the slope of the line that goes through each set of points.
2. (2. 10) and (1,5)
3. (0.2) and (-3, 2)
4. (-4.0) and (0, -3)
5. (1.3) and (-2, 6)
PLEASE HELP!!!
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
In ΔJKL, j = 9.6 inches, k = 6.4 inches and l=8.4 inches. Find the measure of ∠K to the nearest degree.
Answer:
41
Step-by-step explanation:
delta math
please help ill give you brainliliest
Answer:
69
Step-by-step explanation:
its just an estimate
Answer:
72 degrees
Step-by-step explanation:
There are 180 degrees in a triangle. 59+49=108. 180-108=72!
I hope this helps!
Which statement is true?
Answer:
B, the second answer choice
Step-by-step explanation:
Hope this helped! Please mark me as brainliest if you can!
Find the measure of each angle.
The measure of one interior angle of a parallelogram is 0.25 times the measure of another angle.
Answer: Two of the angles are 144° The other two angles are 36°
Step-by-step explanation: The sum of the angles of a parallelogram is 360°
There are two pairs of equal angles.
Using that information, we can create an equation
2x + 2(0.25x) = 360
2x + .5x = 360
2.5x = 360 . Divide both sides by 2.5 to find the value of x:
x = 144° Substitute 144 for x in the expression for the smaller angles
.25(144) = 36°
The measure of the angles in the parallelogram are 144 and 36 degrees.
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles are also equal.
Angles in a parallelograma + b + c + d = 360
Opposite angles are equal, so
2a + 2(0.25a) = 360
2a + 0.5 = 360
2.5a = 360
a = 360/ 2.5
a = 144
the other angle = 180 - 144 = 36 degrees
To learn more about parallelograms, please check: https://brainly.com/question/17309595