Answers
Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
Related Questions
The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. What is the minimum mark she scored in her first quiz if scored 76 and 89 marks in her second and third quiz, respectively?
Answers
9514 1404 393
Answer:
60
Step-by-step explanation:
Let m represent the mark Cheryn scored on her first quiz. Then her average is ...
(m +76 +89)/3 ≥ 75
m +165 ≥ 225 . . . . . . . . multiply by 3
m ≥ 60 . . . . . . . . . . . . subtract 165
Cheryn scored a minimum of 60 marks on her first quiz.
The ratio of the measures of the three angles of a triangle is 2:2:5 . Find the measure of each angle
Answers
Answer:
Angle 1:Angle2: angle3: total
40 40 100 180
Step-by-step explanation:
The sum of the angles of a triangle is 180
Angle 1:Angle2: angle3: total
2 :2 :5 : 2+2+5 = 9
Divide 180 by 9
180/9 = 20
Multiply each by 20
Angle 1:Angle2: angle3: total
2*20 :2*20 :5*20 : 9*20
40 40 100 180
I forgot everything I learned
Answers
Answer:
What do you need help with
Step-by-step explanation:
Do you need help with a specific question? Or with the whole assignment?
One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
PLS HELP
Answers
Answer:
16
Step-by-step explanation:
First use the Pythagorean theorem a^2+b^2=c^2.
12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.
Step-by-step explanation:
using pythogoras theory
hyp^2=opp^2+adj^2
you have been given the hyp and the opp so lets make the unknown x
20^2=12^2+x^2
400 =144+x^2
make x the subject of the formula
400-144=x^2
266=x^2
x=the square root of 266
Al’s Produce Stand Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost. Then, use each equation to help complete the tables below.
Answers
Answer:
5.9998
Step-by-step explanation:
because thats the answer
find a number such that when 3/4 of it is added to 3.5 the sum is the same as when 2/3 of it is subtracted from 6.5
Answers
Answer:
2.1
Step-by-step explanation:
let unknown number be x
3/4x + 3.5= 6.5 - 2/3x
collect like terms
3/4x+2/3x=6.5 - 3.5
17/12x = 3
cross multiply
12 * 3=17x
36=17x
x=36/17
x=2.1
A travel agent is booking trips for tourists who travel from New York to Chicago. Tourists have three choices for how to travel from New York to Chicago. They can take an airplane for $350, a bus for $150, or a train for $225. Once they arrive in Chicago, they can travel by van to their hotel for $60 or take a cab for $40. If each option is equally likely to occur, what is the probability that a tourist will spend more than $300 on these 2 legs of the trip?
Answers
List all the different combinations with total cost:
Airplane + van = 350 + 60 = $410
Airplane + cab = 350 + 40 = $390
Bus + van = 150 + 60 = $210
Bus + cab = 150 + 40 = $190
Train + van = 225 + 60 = $285
Train + cab = 225 + 40 = $265
There are 6 different combinations.
There are 2 that are more than $300
The probability would be quantity higher than 300 / total combinations.
Probability = 2/6 = 1/3
If A has a 3 letter name, but the name doesn’t contain a vowel what would be A’s name?
Answers
A is vowel.
first condition prevents any vowels, thus there will be no A at all
Help me pls!
The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure
Answers
Answer:
Smaller figure: 1/3
Larger figure: 3
Answer:
1:3
Step-by-step explanation:
divided the sides
8/24 = 1/3 = 1:3
Find the value of x in each case:
Answers
Answer:
x=36
Step-by-step explanation:
180-x=180-2x +180-4x
180-x = 360 -6x
5x =180
36 = x
Whats the volume of the cylinder? Round your answer to the nearest hundred the top is B the left side of the cylinder is 13cm the bottom of the cylinder is 4cm so whats the volume of it?
Answers
Answer:
The volume of the cylinder is 163.3 m³.
Step-by-step explanation:
Given that,
Height = 13 cm
Base = 4 cm
So, radius = 2 cm
We need to calculate the volume of the cylinder
Using formula of cylinder
[tex]V=\pi r^2h[/tex]
Where, r = radius
h = height
Put the value into the formula
[tex]V=\pi\times(2)^2\times13[/tex]
[tex]V=163.3\ cm^3[/tex]
Hence, The volume of the cylinder is 163.3 cm³.
(b) A shopkeeper gives 20% discount on the marked price of a television set. The VAT amount at the rate of 13% is Rs. 2,600. Find the marked price and the amount of discount.
Answers
Answer:
6.3
Step-by-step explanation:
i had the same question for school
help me with the question of o.math
Answers
Answer:
Hello,
Answer 163
Step-by-step explanation:
1,7,16,28,43,..., 10th term=?
[tex]u_1=1,u_2=7,u_2-u_1=7-1=6=2*3\\u_3=16, u_3-u_2=16-7=9=3*3\\u_4=28, u_4-u_3=28-16=12=4*3\\u_5=43, u_5-u_4=43-28=15=5*3\\\\\boxed{ u_1=1, \ u_{n+1}-u_{n}=(n+1)*3}\\\\u_{10}=163\\[/tex]
the perimeters of two squares are 60 meters and 144 meters respectively. find the perimeter of another square equal in area to the sum of the first two squares
Answers
Answer:
Step-by-step explanation:
perimeter of first square = 4 × side = 60 m
∴ side = 60/4 = 15 m
so area = s × s = 15 × 15 = 225 m^2
perimeter of second square = 4 × side = 144 m
∴ side = 144/4 = 36 m
so area = s × s = 36 × 36 = 1296 m^2
Perimeter of the third square = sum of areas of the first and second triangle
= 225 + 1296
= 1521 m
hope this helps
plz mark as brainliest!!!!!
Answer:
Perimeter of new square = 156 m
Step-by-step explanation:
First square:
Perimeter = 60 m
4 * side = 60 m
side = 60/4
side = 15 m
Area of first square = side * side = 15 * 15 = 225 m²
Second square:
Perimeter = 144 m
4 * side = 144 m
side = 144/4
side = 36 m
Area of second square = side * side = 36 * 36 = 1296 m²
New square:
Area of new square = area of first square + area of second square
= 225 + 129
Area of new square = 1521 m²
side * side = 1521
side = √1521 = √39*39
side = 39 m
Perimeter of new square = 4 * 39 = 156 m
Find the value of x. Your answer must be exact.
X
12.
600
X=
Answers
Answer:
x = 6√3Step-by-step explanation:
Since the figure above is a right angled triangle we can use trigonometric ratios to find x
To find x we use sine
sin ∅ = opposite / hypotenuse
From the question
The hypotenuse is 12
The opposite is x
Substitute the values into the above formula and solve for x
That's
[tex] \sin(60) = \frac{x}{12} [/tex]
[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
[tex]x = \frac{ \sqrt{3} }{2} \times 12[/tex]
We have the final answer as
x = 6√3Hope this helps you
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
Answers
15552|2
7776|2
3888|2
1944|2
972|2
486|2
243|3
81|3
27|3
9|3
3|3
1
[tex]15552=2^6\cdot 3^5=(2^3\cdot3^2)^2\cdot 3[/tex]
[tex](3+1)\cdot(2+1)=4\cdot 3=12[/tex]
It's 12
solve for x? They are vertical angles
Answers
Answer:
Step-by-step explanation:
6x - 11 = 3x + 13
3x = 24
x = 8
Please help with my math homework
Answers
Answer:
Down here:
Step-by-step explanation:
a. 1 , 3 , 9 , 27 , 81, 243, 729
rule, multiply by 3
b. 8, 7, 9, 8, 10, 9, 11, 10, 12
rule, -1 then +2
c. 100, 50, 25, 12.5, 6.25, 3.125
rule, divide by 2
d. 1, 4, 9, 16, 25, 36, 49
rule +3, +5, +7, +9, +11.....
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
the area if the top of a cube is 9 aquare meters . what is the volume of the cube?
Answers
Answer:
27 cubic meters
Step-by-step explanation:
For square, length and width is same.
3x3 = 9 square meters
3x3x3 = 27 cubic meters
Volume of a cube = length · width · height, or:
Volume of a cube = length³
We know that a cube is made up of 6 squares, so if the area of one of the squares is 9, we can take the square root to find the sides:
√9 = ±3
(and in this case, you can't have negative measurements, so it's positive.)
Now, all we have to do is cube the side length, so:
3³ = 27.
If you have any questions, feel free to ask! :)
how many are 8 raised to 3 ???
Answers
If BH = 66, find DE. Round your answer to two decimal places if necessary.
Answers
Answer:
BH= 66
DE= ...?
We know that
BH is 1 to 6 = 66
DE is only take one space of that--> 3 to 4
so 66/6 = 11
1 space = 11 = DE
Hope it helps ^_^
Please solve.
Essie likes plants. She never misses a chance to go to the nursery section in Home Depot. Essie has a total of $65.50 to spend on her trips to the store over the next three days. On her second trip to the nursery she spent $15.50 dollars more than what she spent on the first trip to the store. On her third trip to the nursery she spent two times much as what she spent on her first trip to the nursery. How much did she spend on her first trip to the nursery? Create a linear equation to model a real-world situation and solve the equation to find the solution
Answers
Answer:
Step-by-step explanation:
Let $ x = the amount spent on the first day
The amount spent on the second day = x + 15.50
The amount spent on the third say = 2*x = 2x
Total amount Essie spent on 3 days = $65.50
x + (x +15.50) + 2x = 65.50
x + x + 15.50 + 2x = 65.50
Add like terms
4x + 15.50 = 65.50
Subtract 15.50 from both sides
4x = 65.50 - 15.50
4x = 50
Divide both sides by 4
x = 50/4
x = $ 12.50
The amount spent on the first day = $ 12.50
The amount spent on the second day = 12.50 + 15.50 = $ 28
The amount spent on the third day= 12.50 * 2 = $ 25
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and 1.2. Distribute 1.2 to 6.3 and –7x . Combine 6.3 and –7x . Combine 3.5 and 7.56. Subtract 11.06 from both sides. Mark this and return Save and Exit Next Submit
Answers
Answer:
1) Distribute 1.2 to 6.3 and -7x
2)Combine 3.5 and 7.56
3)Subtract 11.06 from both sides
Step-by-step explanation:
3.5 + 1.2(6.3 - 7x) = 9.38
Distribute 1.2 to 6.3 and -7x
3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38
3.5 + 7.56 - 8.4x = 9.38
Combine 3.5 and 7.56
11.06 - 8.4x = 9.38
Subtract 11.06 from both sides
11.06 - 8.4x -11.06 = 9.38 - 11.06
-8.4x = -1.68
To find solution:
Divide both sides by (-8.4)
-8.4x/-8.4 = -1.68/-8.4
x = 0.02
Answer:
B, D, and E
its right cus i took the test soo..
Add the matrices to find the answer.
Answers
Answer:
[tex]\large \boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
[tex]{\mathrm{view \ attachment}}[/tex]
x + y = 0
y = 2x + 6
8
Now graph y = 2x + 6 What are the graphing points (there needs to be 3 pairs)
Answers
Answer:
(-3,6) (1,8) (2,10) and so on.
IssaC is now x years old. Erika is 7 years older than Issac. In terms of how old was Erika 4 years ago ?
Answers
Answer:
Isaac = x
Step-by-step explanation:
Erika is 3y older than Isaac
Isaac is x years old
Answer: x+3
Work Shown:
x = Issac's age right now
x+7 = Erika's age right now
(x+7)-4 = x+3 = Erika's age four years ago
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Answers
B..The discriminant is equal to 0, which means equation has on real number solutions
The discriminant is equal to 0, which means the equation has one real number solution, option B is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The discriminant of a quadratic equation in standard form, ax² + bx + c = 0, is given by the expression b² - 4ac.
The given equation is -2x² = -8x+8
a = -2, b = 8, and c = -8.
Substituting these values into the formula for the discriminant, we get:
b² - 4ac = (8)² - 4(-2)(-8)
= 64 - 64
= 0
Therefore, the discriminant is equal to 0.
When the discriminant is equal to 0, it means that the quadratic equation has one real number solution (a double root) because the quadratic formula will give only one root.
Hence, the discriminant is equal to 0, the equation -2x² = -8x + 8 has one real number solution.
To learn more on Quadratic equation click:
https://brainly.com/question/17177510
#SPJ5
can somebody please help me on this if you know how to solve it is urgent please don’t waste my answers
Answers
Answer:
6
Step-by-step explanation:
The angle bisector divides the other segments proportionally. There are many ways the proportion can be written. One is ...
XN/NY = XA/AY
XN = NY×XA/AY = 4 × 18/12
XN = 6
What is -15=-4m+5 equal and its two steps problems in HS
Answers
4m=20 /4
M= 5
write an equation of the perpendicular bisector of the segment joining a(-2,3) and b(4,-5).
A) 3x+4y=7 B) 3x-4y=-7 C) 3x-4y=7 D) -3x-4y=7 E) 4x-3y=7
Answers
Answer:
C) 3x - 4y = 7
Step-by-step explanation:
The midpoint of AB is
M( (-2 + 4)/2, (-5 + 3)/2 ) = M(1, -1)
Line AB has slope:
(3 - (-5))/(-2 - 4) = 8/(-6) = -4/3
Slopes of perpendicular lines are negative reciprocals.
A perpendicular to line AB has slope 3/4.
The perpendicular to line AB that passes through the midpoint of segment AB is the line we want.
[tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-1) = \dfrac{3}{4}(x - 1) [/tex]
[tex] y + 1 = \dfrac{3}{4}(x - 1) [/tex]
[tex] 4y + 4 = 3(x - 1) [/tex]
[tex]4y + 4 = 3x - 3[/tex]
[tex]3x - 4y = 7[/tex]
Answer:
C
Step-by-step explanation:
Segment joining a and b
m = 8/(-6) =-4/3
For that of the perpendicular bisector...
m = 3/4
Midpoint of Segment joining a and b
([-2+4]/2 , [3-5]/2)
=(1, -1)
y=mx+c
-1=(3/4)(1)+c
c= -7/4
y=3x/4 - 7/4
4y=3x - 7
3x-4y = 7