Answer and Step-by-step explanation:
The angle that is formed is an acute angle, which means it has to be less than 90 degrees.
The length from the point to the origin (hypotenuse) is 25 (obtained by using the distance formula).
The height of the triangle is 24, since it goes up 24 units, and the base of the triangle is 7, since it goes right 7 units.
↑
| [.] (7, 24)
| /|
| / |
| / |
| 25 / |
| / | 24
| / |
| / |
|/_______|_______→
| 7
|
↓
[Triangle is not to scale]
We can use any trig function to find the angle.
Let's use tangent.
tan(θ) = [tex]\frac{24}{7}[/tex]
θ = [tex]tan^{-1} (\frac{24}{7} ) = 73.7[/tex] is the angle.
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Lorenzo runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Lorenzo estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?
the answer options:
*yes
*no its much too low
*not its much too high
Answer:
no to low he ran 1144 miles in 11 years
Can someone help please
Please help me with my homework please.
Answer:
a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.
b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.
Remember: Speed=Distance/Time The lengths of two sides of a triangle are 3 feet and 5 feet. Which could be the length of the third side?
(a) 3 feet (b) 8 feet (c) 15 feet (d) 2 feet
Answer:
b) 8 feet
Step-by-step explanation:
5+3=8
So, the answer will be 8
The third length must be 3 feet.
What is a Triangle?a plane figure with three straight sides and three angles.
How to determine?If you are referring to a triangle with known side lengths of 3 and 5, then all we can say about the length of the third side is that it must be more than 3 and less than 5:
If you imagine the two sides (lengths 3 and 5) are the hands of a clock, if the time is 12:00 with both the hands on top of each other, then the distance between the two points of the hands is 5–3 or 2 units, that is the shortest distance between the two endpoints of our clock hands. So the third side of the triangle must be more than 2 units long.
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What is the value of
[(2/3)0]-3
Answer:
-3
Step-by-step explanation:
{2/3 × 0} -3
{0} -3
0-3 = -3
At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.
What is the average change in temperature per hour?
5.33 F is the average change in temperature per hour.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
Given, At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.
Since there is a Sum change in temperature in 3 hours
From the formula of average:
Average change = total change/ time taken
in our case
Total change = 69 - 53
Total change = 16 F
Total time taken = 11 - 8
Total time taken = 3
Thus Average = 16/3
Average = 5.3333
Therefore, the average change in temperature per hour is 5.33 F.
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Which one of these dishes would make the food dish the warmest when placed on top of it?
Farhan bought one dozen bananas for $2.40. What is the rate ( cost ) of each banana?
Answer:
20 cents
Step-by-step explanation:
12 divided by 2.40
please help me on this will give you brainliest
Answer:
15/20 16/20 <
Step-by-step explanation:
First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.
Pleas help soon. If not I must submit unfinished thank you,
Answer:
x > - 4
Step-by-step explanation:
Given
x > [tex]\frac{5x-12}{8}[/tex]
Multiply both sides by 8 to clear the fraction
8x > 5x - 12 ( subtract 5x from both sides )
3x > - 12 ( divide both sides by 3 )
x > - 4
Long Divison : 3 divided by 2,284 = and don't forget the remainder of it all
2,284 divided by 3,what is the remainder??
Answer :2,284÷3=761 and remainer=1
Answer:
761 R1
Step-by-step explanation:
Solve: 2(3x + 4) = 44
Answer: x=6
Step-by-step explanation:
What is the area of the triangle that has a base of 12 and a height of 23.
Pls help with this
Answer:
138
Step-by-step explanation:
Answer:
138
Step-by-step explanation:
Area of a triangle = ½×base×height
Base=12
Height=23
Area=½×12×23
=1×6×23
=138cm²
12 can be divided exactly by 2 that's why we have 6.
determine the value of x
Answer:
both angle 2x+60 and 4x+20 are equal
2x+60=4x+20
60=2x+20
40=2x
x=20
Step-by-step explanation:
In the five sixth-grade classrooms there are 26, 29, 31, 33, 36 students.
What is their average (mean) number?
A.31
B. 26
C. 33
(D. 29
E. 36
Answer:B 26
Step-by-step explanation:
2.
Ashley is choosing a popsicle from the freezer at
of her picking a grape popsicle the probability of her picking a cherry
popsicle and the rest of the popsicles are orange. What is the
likelihood of Ashley selecting an orange popsicle?
A. Likely
B. Unlikely
C. Certain
D. Impossible
Answer:
I believe it's A.
Step-by-step explanation:
She can kinda pick whatever, she wants, but i hope i answered properly
Arrow2Mania<3
Trey is 3 times older than his sister Kellit k stands for Kelli's age, which expression represents Trey's age?
A
3
B
3
3
Please help!
ABCD is a rhombus. Find AB. Enter your answer as a fraction in simplest form.
4x + 15
с
12yº
(2y - 2)°
7x + 2
AB =
Answer:
[tex]AB= \frac{97}{3}[/tex]
Step-by-step explanation:
Properties of Rhombus
All sides of the rhombus are equal. The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal. In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus.We are given two sides of the rhombus BC and CD. According to the first property:
4x + 15 = 7x + 2
Subtracting 4x:
15 = 3x + 2
Subtracting 2:
13 = 3x
Dividing by 3:
[tex]x=\frac{13}{3}[/tex]
It's required to find the side AB. Applying the first property again:
AB= BC = CD = 4x + 15
[tex]AB =4*\frac{13}{3}+15[/tex]
[tex]AB= \frac{52}{3}+15[/tex]
[tex]AB= \frac{97}{3}[/tex]
Please help me im confused
a student completes math problems at an average rate of 2 problems every 5 minutes as this rate, how many problems does the student complete in 65 minutes?
Answer:
26
Step-by-step explanation:
65÷5, 3×2.
13x2+26
which ones are linear and not linear? a, b, c, and d
Answer:
Linear graphs have straight line so (B,C)
NON LINEAR GRAPHS DON'T HAVE STRAIGHT LINE (A,D)
appreciated if you mark brainliest
Answer:
B is linear
Hope it helps
Plz help I got 10 mins
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 8829 total votes, how many yes
votes were there?
w^2+13w+36=(w+4)(w+?)
Answer:
w1= -8, w2 = -4
Step-by-step explanation:
Answer: [tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]
Step-by-step explanation:
[tex]w^{2} + 13w + 36 = (w + 4)(w + ?)[/tex]
w (w + ?) +4 (w + ?)
w² + ?w + 4w + ?
4w + ?w = 13w
Subtract both sides by 4w
?w = 9w
? = 9
4 (?) = 36
Divide both sides by 4
? = 9
[tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]
Hope I helped!
how do i solve it?
.
Answer:
The answer should be x = 3.
Step-by-step explanation:
Here is my work attached below:
In the following function, What is the input value? f(-9)=4x-4+2 A.4 B.-4 C.2
D.-9
Does the graph represent a function?
Yes Or No
Answer:
Yes.
Step-by-step explanation:
First, draw a vertical line. Then check the interception between the graph and a vertical line.
If the line intercepts the graph only one point, then it is a function. Otherwise, it is not. That includes two or more.
The graph shown in the picture is a function (Cubic Function).
find the volume of a cone with diameter of 12m and a height of 7m
Answer:
A) [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters
Step-by-step explanation:
The formula for finding the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2} h[/tex] where [tex]V[/tex], [tex]r[/tex], and [tex]h[/tex] are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is [tex]\frac{12}{2}=6[/tex] m. Now, we know that [tex]r=6[/tex] and [tex]h=7[/tex], so plugging these values into the equation, we get:
[tex]V=\frac{1}{3}\pi r^{2} h[/tex]
[tex]= \frac{1}{3} \pi *6^{2} *7[/tex] (Substitute given values into equation)
[tex]=\frac{1}{3}\pi *36*7\\=84\pi[/tex] (Simplify)
Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], we know that [tex]84\pi =84*3.14=263.76[/tex]. Therefore, the volume of the cone is [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters. Hope this helps!
Ren was trying to solve a system of linear equations. He correctly argued that he could replace one equation by the sum of that equation and multiple of the other. He stated that this would produce a system that has the same solution as the original system.
To show this, Ren wrote down a system of equations. He them determined wich othe system of equations would have the same solution as the original system. Ren's original system is shown below.
Answer:
This what I got.
Hope it helps!
The solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
The given equations are;
-2x-5y = -47........(i)
4x-2y = -2
We can simply it, and write;
2x-y = -1
y = 2x+1.....(ii)
Put equation (ii) in (i)
-2x-5(2x+1) = -47
-2x-10x-5 = -47
-12x = -42
x = 7/2
Put value of x in eq (ii)
y = 2(7/2)+1
y = 8
Therefore, the solution of main equation is (7/2, 8)
Solving the other three equations,
1) -14x+y = -41
or, y = -41+14x......(i)
2) 4x-2y = -2
or, 2x-y = -1
y = 2x+1....(ii)
Solving the equations,
2x+1 = -41+14x
12x = 42
x = 7/2
Put x = 7/2, in (ii)
y = 8
Therefore, the solution is (7/2, 8)
We get the solution of main equation is equal to this system of equation.
2) -2x-5y = -47......(i)
6x+3y = 45
or, 2x+y = 15.......(ii)
Solving the equation by elimination,
-4y = -32
y = 8
Put y = 8 in equation (ii)
2x+8 = 15
x = 7/2
Therefore, the solution is (7/2, 8)
Again, we get the solution of main equation is equal to this system of equation.
3) -2x-5y = -47.........(i)
8x-5y = -8.......(ii)
Solving the equations by elimination,
-10x = -39
x = 39/10
Since, value of x is not same as the value of x in main equation, that means, both the system of the equation do not have same solution.
Hence, we get that, the solution of 1st and 2nd system of equations have solutions same as the main system of equations and 3rd is not same.
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Can 4/3, 12/9 Form a proportion?