Answer:
The first side of the triangle = 180 cm
The second side of the triangle = 60 cm
The third side of the triangle =130 cm
Step-by-step explanation:
To solve this, we will follow the steps below;
First, re-write the question in a mathematical format and then solve;
let a=the first side of the triangle
b=the second side of the triangle and
c=the third side of the triangle
"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:
a=3b ------------------------------------------------(1)
"the third side is 50 cm shorter than the first side" can be re-write as :
c=a-50-----------------------------------------------(2)
"perimeter is 370" can be re-write as:
a + b + c = 370 --------------------------------------(3)
from equation (2), make b subject of the formula; a= 3b
b=a/3 ------------------------------------(4)
substitute equation (2) and (4) into equation (3)
a + b + c = 370
a+[tex]\frac{a}{3}[/tex] + a-50 = 370
add 50 to both-side of the equation
a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50
a+[tex]\frac{a}{3}[/tex] + a= 420
[tex]\frac{3a + a + 3a}{3}[/tex] = 420
[tex]\frac{7a }{3}[/tex] = 420
multiply both-side of the equation by 3
[tex]\frac{7a }{3}[/tex] ×3= 420×3
7a = 1260
Divide both-side of the equation by 7
[tex]\frac{7a}{7}[/tex] = [tex]\frac{1260}{7}[/tex]
a= 180
from equation (4) b = a/3
b = 180/3 = 60
from equation (2) c= a- 50
c= 180 - 50
c= 130
a= 180 cm
b = 60 cm
c= 130 cm
Therefore,the first side of the triangle = 180 cm
the second side of the triangle = 60 cm
the third side of the triangle =130 cm
In the diagram, which two angles are alternate interior angles with angle 14?
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15
Answer:
Angle 4 and Angle 12Step-by-step explanation:
Angles 4 and angles 12 are alternate interior angles with 14.
Angle 4 is alternate interior with angle 14, and angle 12 is alternate interior with angle 14.
The person that answered above me is wrong. But there is some truth to his answer, because angle 3 is alternate interior with angle 9, but they are NOT alternate interior WITH angle 14.
That is why many people answering this question fail. The question says:
In the diagram, which two angle ARE alternate interior angles WITH angle 14?
To finally answer the question completely, angles 4 and 12 ARE alternate interior angles WITH angle 14.
Therefore the guy above me is 100% wrong.
Hence, the right option is (A).
Which figure has an orthocenter outside the triangle? A triangle has angle measures of 30, 75, and 75 degrees. A triangle has angle measures of 54, 56, and 74 degrees. A triangle has angle measures of 45, 110, and 25 degrees. A triangle has angle measures of 90, 48, and 42 degrees. plzzzz help
Answer:
A triangle has angle measures of 45, 110, and 25 degrees would has an orthocenter outside the triangle.
Hope this helps!
:)
Answer:
The Third option is correct.
Step-by-step explanation: just got it right on edge
What percent is modeled by the grid?
A grid model with 100 squares. 33 squares are shaded.
23%
30%
33%
40%
Answer:
33%
Step-by-step explanation:
There are 33 squares out of 100 that are shaded
33/100
Percent means out of 100
33%
Answer: 33%
Explanation: A ratio that compares a number to 100 can be written as a percent. So in this problem, since the figure has 33 out of 100 boxes shaded, we have the ratio 33/100 which can be written as 33%.
PLZ HELP I’M TIMED!! I’LL GIVE BRAINLIEST- FIND THE VALUE OF Y
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
What is the value of x?
ASAP
Michael earns 12% commission on cell phone sales. He sold $549 worth of cell phones this week. How much did he earn in commission?
Answer:
Michael earns $69.88 in commission.
Step-by-step explanation:
549*0.12=69.88
The taco truck sells tacos for and burritos for . The number of items sold on a Tuesday is with a total income of . How many tacos were sold?
Answer:
You didnt say the price otherwise how am i suppose to give you the answer
Step-by-step explanation:
The marine green turtle has been known to swim 480 km (300 miles) in 10 days." How far, in kilometers, could a marine green turtle swim in 18 days?
Answer:
864
Step-by-step explanation:
You need to divide 480 by 10. Then multiply the answer which is 48 miles per day. Then take the 48 times 8 for the next 8 days. Then add the answer of that which is 384 and add it to 480.
Hope this helps.
PLEASE HELP NOW!! BRAINLIEST
Point P(-3,-4) is rotated 270° clockwise about the origin.
What are the coordinates of its image after this transformation?
Answer:
(4,-3)
Step-by-step explanation:
If you graph this point, then it will be in the 3rd quadrant.
A 180 degree rotation will put it in the 1st quadrant.
And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).
The coordinates of the given image after this transformation will be (4,-3).
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Given that, Point P(-3,-4) is rotated 270° clockwise about the origin.
When graph this point, then it will be in the 3rd quadrant.
A 180° rotation will put it in the 1st quadrant.
And the extra 90° will put in the 4th quadrant, so we know that in (x, y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90°, 3 times, you will have to switch the x and y, since 3 is an odd number.
Hence, The coordinates of the given image after this transformation will be (4,-3).
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1.
Which equation in point-slope form contains the point (-2, -6) and has slope -4?
y - 2 = -4(X-6)
y + 2 = -4(x + 6)
.
y + 6 = -4(x + 2)
y-6 = -4(x - 2)
Answer:
Step-by-step explanation:
y + 6 = -4(x + 2) is the point-slope form
y + 6 = -4x - 8
y = -4x - 14
There are 345 fifth graders enrolled at Wilson Middle School and 15 fifth-grade classrooms. How many students are in each class if each class has the soame number of students?
Answer:23
Step-by-step explanation:
Literally just division
Answer:
23
Step-by-step explanation:
345\15=23
Which function can be used to find the number of ounces of coffee in the can based on its radius?
Answer:
A
Step-by-step explanation:
The answer is A I hope it helped!
i need help!!!
y=6x
y=42
simplify the answer as much as possible
What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9
Answer:.1.77
Step-by-step explanation:
e^x = 5.9
Take the natural logarithm of both sides
x = ln (59/10)
x = 1.77
Answer: x=1.77
Step-by-step explanation:
A P E X
Solve 1/2n +3 < 5.
Which graph shows the solutions?
I WILL GIVE BRAINLY
Answer:
Third one
Step-by-step explanation:
½n + 3 < 5
½n < 2
n < 4
Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4
The option c is solution of given equation
What is graph?the collection of all points whose coordinates satisfy a given relation (such as a function)
According to the question,
½n + 3 < 5
½n < 2
n < 4
Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4
Hence, option c is correct
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A customer states that she was shorted in change by receiving only 23 cents change from $3.00
dollars instead of 32 cents. How would you handle this?
Answer:
First, I would check and see if she was correct. If she wasnt, I would simply show her why she was incorrect. If I was to accidently short her, I would give her the money and move on with my day. if she refused to leave after showing her that I gave her the correct amount of money, she would probably call for the manager. I'd get the manager, explain what happened, and the annoying customer would most likely get kicked out of the store.
(P.S: sorry if it was a little confusing lol)
which of the following are properties of the circumference of a triangle
Answer:
angle, length height
Step-by-step explanation:
The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.
Below is the graph of a trigonometric function. It has a minimum point at (- 10.4, - 9.8) and a maximum point at (- 3.6, - 1.2) . What is the period of the function?
Answer:
13.6
Step-by-step explanation:
The period is double of the distance (on the x-axis) between the maximum and the minimum. In this case, the x-coordinate of the minimum is -10.4, the x-coordinate of the maximum is -3.6, the distance is -3.6 - (-10.4) = 6.8, and the period is 2*6.8 = 13.6
Answer:
Step-by-step explanation:
4.3 unit from by khan academy
Find the are. Will mark brainliest.
Answer:
4.44
Step-by-step explanation:
To find the area of a triangle, multiply the base by the height, and then divide by 2.2.4 x 3.7 = 8.88next i divide by 28.88 / 2 = 4.44so my answer is 4.44Hope this helpsask questions if it is wrongBrainliest plz(x+4)−(x−1)
HELPPPP
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Answer:
There is no plug-in for x.
X=0.
(0+4) - (0-1) = [(4 - (-1)] = 5.
Answer:
5
Step-by-step explanation:
(x+4) -x +1
x - x = 0
5
What is the radius of J. A. 24.8
B. 6.2
C. 10.8
D. 12.4
Answer:
12.4 units
Step-by-step explanation:
The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.
The radius of the given circle is 6.2 unit. So option B is correct.
What is the radius?A line segment from a circle's or sphere's center to its perimeter or boundary is known as the radius in geometry. It is a crucial component of spheres and circles and is frequently abbreviated as "r". When discussing multiple radiuses at once, the plural form of radius is "radii". The diameter of a circle or sphere is the longest line segment connecting all points on the opposite side of the centre, and the radius is equal to half of the diameter in length. It can be written as d/2, where d is the circle's or sphere's diameter. Look at the illustration of a circle below that depicts the connection between radius and diameter.
Given that,
A circle,
which contains diameter KN of length 12.4 unit
and chord 10.8 unit.
The radius = ?
It is known that, the length of the radius is half of the diameter of the circle,
R = D/2
= 12.4/2
= 6.2
Therefore, the length of the radius is 6.2 unit.
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−8⋅f(0)+4⋅g(−8)=
Please help
Answer:
-32
Step-by-step explanation:
Look at the attachment
Functions can be represented as equations and graphs.
The value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
From the graph, we have the following values.
[tex]\mathbf{f(0)= 1}[/tex]
[tex]\mathbf{g(-8)= -6}[/tex]
So, we have:
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 \times 1 + 4 \times -6}[/tex]
Simplify
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -8 -24 }[/tex]
[tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)= -32 }[/tex]
Hence, the value of [tex]\mathbf{-8\cdot f(0)+4\cdot g(-8)}[/tex] is -32
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1 gal 3 c= _fl oz
Convert the unit of capacity
Answer:
152 fluid ounces
Step-by-step explanation:
there are 128 fluid ounces in 1 gallon. there are 24 fluid ounces in 3 cups. 128+24 is 152. :)
Suzy is shopping at a book sale. The table shows prices for paperbacks.
A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.
These points are graphed. Notice the pattern of the points. What is the rate?
The cost is $
for every 2 books.
Answer:
3 bucks
Step-by-step explanation:
The rate of change is 2 and the cost of two books is $3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + C = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.
The points are, (4, 6), (6, 8), and (8, 12).
Slope(m) = (12 - 8)/(8 - 6).
Slope(m) = 4/2.
Slope(m) = 2.
Now, 4 books cost $6, hence 2 books cost $3.
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y=6x+15 what is y, when x=5
Answer:
Answer:45
6 x 5+15=45
Step-by-step explanation:
Hope this helped!
Answer:
Look at explanation
Step-by-step explanation:
First, plug in x=5 into the equation y=6x+15 for x.
[tex]y=6(5)+15[/tex]
Solve.
[tex]y=6(5)+15\\=30+15\\=45\\y=45[/tex]
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A) V = π(3.5h)2
B) V = π(7h)2
C) V = π(3.5)2h
D) V = π(7)2h
Answer:
The volume of a cylinder is given by the equation:
V = π(R)^^2*h
where π = 3.14, R is the radius and h is the height.
If in the image we see that the radius is 7, then the correct option is D.
If in the image we shee that the DIAMETER is 7 (a linea that goes from end to end of the circle and goes trough the middle) then we know that the radus is half of the diameter, 7/2 = 3.5
in this case he correct option is C.
Answer:
There is no image included, so I cannot give a direct answer. However, you should be able to figure out the answer after my explanation.
Step-by-step explanation:
‼️now pay attention in order to get this question correct‼️
Well, this is a simple problem, since you don’t necessarily need to solve it. First, you need to know the formula of volume for a cylinder. This is: V = πr²h.
Figure out π. Π is a number too long to be written, so we found it up to 3.14.
π = 3.14
Now figure out the radius, for r. This, isn’t my problem to solve because I don’t have a picture of the cylinder so I cant determine so.
The equations don’t specify any height written, so we don’t have to solve for h yet.
This is your job now. So far, I’ve only figured out π, now find the radius, take that number, and fit it in the parentheses. V = π(_)²h. That’s it. Now look at the options, and pick the option that matches what you’ve already written.
I hope I’ve helped, taking time to write this... but I hope you wouldn’t mind brainliest lol c: take care and have a nice day!
19) Solve the inequality. 7x − 9 > 2x + 6 A) x > 3 B) x > 3 5 C) x > −3 D) x > − 3 5
Answer:
B
Step-by-step explanation:
Given
7x - 9 > 2x + 6 ( subtract 2x from both sides )
5x - 9 > 6 ( add 9 to both sides )
5x > 15 ( divide both sides by 3 )
x > 3 → B
Answer:
B
Step-by-step explanation:
The triangles are congruent by the SSS congruence
theorem.
Which transformation(s) can map ALMN onto
AL'M'N'?
M
translation only
O reflection only
L'
O rotation then translation
M
O reflection then translation
N'
N
Answer: rotation then translation
Step-by-step explanation:
The transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
The SSS congruence theorem means that the triangles LMN and L'M'N' are congruent by sides and the angles are also congruent.
So, the triangles can be transformed by
TranslationReflectionRotationFrom the complete question, the triangles and rotated and translated
Hence, the transformation(s) can map triangle LMN onto triangle L'M'N' are (c) rotation then translation
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Estimate the number of boys at Hillview.
Answer:
800 boys
Step-by-step explanation:
help me asap right answer gets most brainlyest
Answer: The answer is 1/4th :)
