Answer:
The sides can be 38 and 24.
Step-by-step explanation:
Consider the provided information.
The given options are: a) 15, b) 24, c)38, d)41, E)53
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
Here a=12 and b=28 we need to find c
The sum of 12 and 28 is 40.
So, It means the side can not be 41 and 53 as it is greater than 40.
Now let the third side is 15.
Then the sides are 12, 28 and 15
The sum of two smaller sides: 12+15=27
But 27 is less than 28.
So the side can't be 15.
Now let the third side is 24.
Then the sides are 12, 28 and 24
The sum of two smaller sides: 12+24=36
But 36 is greater than 28.
So the side can be 24.
Now let the third side is 38.
Then the sides are 12, 28 and 38
The sum of two smaller sides: 12+28=40
But 40 is greater than 38.
So the side can be 38.
Hence, the sides can be 38 and 24.
8. What is the greatest common factor
of 42 and 70?
Answer:
The answer is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Can somone help me on this with an explanation PLZ :(
State the equation of the straight line with:
a - a gradient of 4 passing through the y-axis at (0,7)
b - a gradient of 5 passing through the y-axis at (0,1)
c - a gradient of 6 passing through the y-axis at (0,2)
d - a gradient of 9 passing through the y-axis at (0,13).
Answer:
a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13
Anybody know what 2(2x - 9) = 38 is?
Answer:
x = 5
Step-by-step explanation:
4x - 18 = 38
38 - 18 = 20
20 / 4 = 5
Answer:
x=14
Step-by-step explanation:
11. An astronaut who weighs 180 lb on Earth weighs only 9 lb on Mars. How much would a person who
weighs 13 lb on Mars weigh on Earth?
I also need fraction work
Answer:
260 lb
Step-by-step explanation:
180/9=20
13*20=260
Answer:
260 lbStep-by-step explanation:
Use the ratio
Earth : Mars = 180: 9Simplify
Earth : Mars = 20 : 1Find the weight x on Earth of the person with weight 13 lb on Mars:
20 : 1 = x : 13x = 20*13/1 = 260 lbA boat leaves the dock and travels 10 miles due south, then 24 miles due west. how far is the boat from the dock? pls help!
Answer:
I think it's A
Step-by-step explanation:
Subtract 24-10 and it leaves you with 14
-7x - 36 = 20 -3x
Help
Step-by-step explanation:
-7x-36=20-3x
-36-20=-3x+7x
-56=4x
-56/4=X
-14=X
X=-14 answer
Clare went to a concession stand that sells pretzels for $3.25, drinks for $1.85, and bags of popcorn for $0.99 each. She bought at least one of each item and spent no more than $10. Could Clare have purchased 2 pretzels, 2 drinks, and 2 bags of popcorn? Explain your reasoning. Check your work with the video when you are ready
Answer:
No.
Step-by-step explanation:
Price of each pretzel = $3.25
Price of each drink = $1.85
Price of each bag of popcorn = $0.99
Maximum money to be spent = $10
Price of two pretzels = $3.25 [tex]\times[/tex] 2 = $6.5
Price of two drink = $1.85 [tex]\times[/tex] 2 = $3.70
Price of two bags of popcorn = $0.99 [tex]\times[/tex] 2 = $1.98
Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18
The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.
But maximum money available is $10.
Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.
Aimee and Stan work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Aimee obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Stan waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children?
Neither result is a good estimate.
85%
72%
Both results are equally good estimates.
Answer:
I think 40 percent
Step-by-step explanation:
Please answer please ASAP * please don’t answer if you don’t know please .
Answer:
x = 26
Step-by-step explanation:
1. Information
One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.
2. Base of the rectangle
Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.
3. Base of the triangle
Use the Pythagorean theorem;
[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]
Substitute in the given value and solve
[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]
4. Finding x
There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be
x = base_of_triangle + base_of_rectagle + base_of_triangle
x = 8 + 10 + 8
x = 26
need help solving a practice question
Answer:
x=10
Step-by-step explanation:
Using Pythagoras theorem
H^2=O^2+A^2
26^2=24^2+A^2
676= 576+A^2
676-576= A^2
100= A^2
square root both sides
10= A
Therefore, x=10
PLEASE HELP URGENT 20 POINTS
Select the measure of the complement or supplement of the angle. If there is no complement or supplement, select no complement or supplement.
55.1°
A. 124.9°
B. 119.9°
C. 49.9°
D. no complement or supplement
A. 124.9 is a supplement angle
is 7x+y+3=y a linear equation. also is this in standard form
Answer:
Hi! The correct answer is 7x=-3!
Step-by-step explanation:
~Write in standard form~
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
A) x=13
B) x=7
C) x=10
D x=5.5
Answer:
B) x=7
Step-by-step explanation:
Take 16/4 and 8/2 to get 4 for the both of them.
Then take 2.5 x 4 to get 10.
Finally fill in what you know.
10= x-3
7=x
Answer: It’s a or 13
Step-by-step explanation: took the test got 100%
Which of the following expressions are equivalent? Justify your reasoning.
A. x34
B. 1x−1
C. x5•x4•x210
D. x13•x13•x13
Justify why it’s B and D
Answer
Step-by-step explanation:
i dont know but pls dont hate me no one anserd for 15 hours so i took some points
Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is
Answer:
24
Step-by-step explanation:
To obtain the minimum number fi tiles needed;
We find the Lowest common multiple of 8 and 6
Multiples of :
6 = 6, 12, 18, 24, 30, 36, 42, 48,...
8 = 8, 16, 24, 32, 40, 48, 56,...
Hence, the lowest common multiple of 8 and 6 is 24
Answer:
its B
Step-by-step explanation:
Write slope intercept of the equation with slope of 7 crossing point (0, 5)
Answer:
y=7x+5
Step-by-step explanation:
60 PTS+ BRAINLIEST IF CORRECT (RANDOM OR INCOMPLETE ANSWERS WILL BE REPORTED)
Question 1(Multiple Choice Worth 1 points)
(05.05 MC)
Given the frequency table, what percentage of the students that like rock are also in grades 11–12? Round to the nearest whole percent.
Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 60 25 35 120
Column totals 100 55 90 245
10%
21%
25%
45%
Answer:
d. 45%
Step-by-step explanation:
According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.
25 ÷ 55 = n ÷ 100
25 · 100 = 55 · n
2500 ÷ 55 = n n = 45.454545 n = 45%
55 is the total amount of students that like rock
25 is the total amount of students that like rock in grades 11-12
100 is the total percentage
An amusement park sold 35 discount tickets and 15 full price tickets. What percentage of the tickets sold or discount tickets?
Answer:
70%
Step-by-step explanation:
Question Progress
Exam Paper Progress
177
Grade For This Paper
1
Sue is thinking of a number.
3
of 88
1
8
8
What number is she thinking of?
Question:
Sue is thinking of a number 3/8 of 88 = 1/3 of her number
what number is she thinking of
Answer:
[tex]x = 99[/tex]
Step-by-step explanation:
Represent the number with x.
So, we have:
[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]
Multiply through by 3
[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]
[tex]3 * \frac{3}{8} * 88 = x[/tex]
[tex]3 * 3 * 11 = x[/tex]
[tex]99= x[/tex]
[tex]x = 99[/tex]
Hence, she is thinking of 99
Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7
Answer:
(2,-5)
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 10 x + 6 y = − 84 10x+6y=−84.
Answer:
3/5
Step-by-step explanation:
The equation of a line is written as
y = mx + b where
m is the slope
b is the y-intercept.
We put the given equation above in that form
10x + 6y = - 84
6y = -10x - 84
Divide both sides by 6
y = -10x/6 - 84/6
y = -5x/3 - 14
y = -5/3x - 14
The slope of this line is -5/3
But we are told that: the slope of the line is perpendicular to the line
Hence: we find the reciprocal of , -5/3
This is = 3/5
Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5
Hello!May I please have help with the following!Will award brainliest.
Question is: Work of the bearing of Q from P.
Answer:
The bearing of Q from P is [tex]75^{o}[/tex].
Step-by-step explanation:
The diagram shows the locations of each point with respect to their bearings. As in bearing, angles are measured with the north axis taken as a reference point.
So that,
the bearing of Q from P would be the value of angle NPQ.
<NPQ = [tex]180^{o}[/tex] - <NQP (alternate angle principle)
= [tex]180^{o}[/tex] - [tex]105^{o}[/tex]
= [tex]75^{o}[/tex]
Thus, the bearing of Q from P is [tex]75^{o}[/tex].
Furthermore, the bearing of P from Q can be determined as;
= [tex]360^{0}[/tex] - [tex]105^{o}[/tex]
= [tex]255^{o}[/tex]
The bearing of P from Q is [tex]255^{o}[/tex].
Which is not a correct name for the line shown?
R
P
m
Q
The graph shows the value of an investment after x years.
the initial amount of the investment is $___ , the investment grows at the rate of ___% each year, and the value of the investment after 10 years is $___
NEED HELP!!! I WILL GIVE POINTS IF HELP IS GIVEN!!
Step-by-step explanation:
it looks like compound interest.
initial amount $500
6% growth
after 10years $895.42
Subtract -7x + 6 from -2x^2 + 9x - 2
Answer:
[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]
2. Out of 35 students participating in a debate, 10 are girls. The probability that winner is a boy is: a)1/7 b)3/7 c)4/7 d)5/7
Answer: d) 5/7
Step-by-step explanation:
10 out of 35 of the students are girls. The number of boys is therefore:
= 35 - 10
= 25 boys
Probability that the winner is a boy is:
= 25/35
Take that fraction to the simplest by dividing both by 5:
= 5/7
27 minus 9X +15 Y please
27 - 9x +15y
Factor out common term 3 :
3(9-3x+5y)
hope this helps!
Answer:
3(9-3x+5y)
Step-by-step explanation:
nine over twelve equals fifteen over n
A. 18
B. 20
C. 22
D. 17
Answer:
[tex]\frac{9}{12} = \frac{15}{y} \\(12 * 15) / 9 = 20\\B) 20[/tex]
Step-by-step explanation:
Can someone explain on what do
Answer:
the answer is: 3, 4
Step-by-step explanation:
those numbers meet in the circle where it supposed to go