11. The polygons are similar, but not necessarily drawn to scale. Find the value of a and b.
Answers
(2a -5)/25 = 18/30
2a -5 = 25*18/30 = 15
a = (15 +5)/2 = 10
(3b +1)/15 = 30/18
3b +1 = 15*30/18 = 25
b = (25 -1)/3 = 8
a = 10
b = 8
Related Questions
Don Price bought a house for $70,000. He rents the house for $900 per month. He has $700 in monthly expenses.
What is the amount of the annual rent?
What is the amount of annual expenses?
What is his rate of income to the nearest tenth of a percent?
Answers
Annual Expenses=$8,400
Rate of income=moneyt
The annual expense is 700*12, which is 8400
HELP!! 10 POINTS!! 1 EASY PROBLEM!!
Answers
1. You have:
A=3+12=15
B=4x
C=12
D=3x+1
2. Therefore, you have:
A/B=C/D
3. When you susbtitute the values of A,B,C and D, you obtain:
15/4x=12/(3x+1)
4. Now, you must clear the "x" to calculate its value, as below:
15(3x+1)=12(4x)
45x+15=48x
15=48x-45x
15=3x
15/3=x
5. Therefore, the result is:
x=5
Help with this math question pleaseee!!!
Answers
But in this case the parent function is transformed. It is shifted vertically upward by 4 units. When an exponential function is shifted vertically up or down its asymptote is also shifted by same number of units.
Hence, the asymptote of [tex]f(x)= 3^{x}+4 [/tex] will be shifted 4 units above as compared to the asymptote of [tex]f(x)= 3^{x} [/tex] .Therefore, the asymptote of [tex]f(x)= 3^{x}+4 [/tex] is y=4
Jerry jogs the same round trip path everyday. He jogs 0.7 miles to the park and then 0.5 miles from the park to the playground. After getting a drink at the playground, he then jogs back from the playground to his house. He jogs from the playground to the bridge 0.3 miles and then 0.9 miles from the bridge to his house. When Jerry completes his jog, how many miles is he from his house?
Answers
Answer:
He will be 0 miles from his house.
Step-by-step explanation:
Since, he jogs the same round trip path.
Thus,
[tex]\text{His final distance from his house }=d_1-d_2[/tex]
Where, [tex]d_1[/tex] = The distance he covered in first trip (towards playground)
[tex]d_2[/tex] = The distance he covered in second trip (towards house),
In his first trip,
He covered 0.7 miles to the park and then 0.5 miles from the park to the playground.
[tex]d_1 = 0.7 + 0.5 = 1.2\text{ miles}[/tex],
In his second trip,
He covered 0.3 miles to the bridge and then 0.9 miles from the bridge to his house
[tex]d_2 = 0.3 + 0.9 = 1.2\text{ miles}[/tex],
[tex]\text{His final distance from his house }=1.2-1.2=0\text{ miles}[/tex]
WHICH COULD BE THE NAME OF A POINT
A .EF
B. K
C. Q
D. MN
Answers
C) Q can also be the name of a point.
Hope this helps =)
3 consecutive odd numbers whose sum is -63
Answers
Answer:
-23, -21, -19
Step-by-step explanation:
The middle one is the average of the three: -63/3 = -21. The others are 2 units either side of this one.
Find the inverse function of f(x) . F(x) = 7x - 9
Answers
The inverse of this function is f(x) = [tex] \frac{x + 9}{7} [/tex].
All inverse functions can be found by switching the x and f(x) values. Then you can solve for the new f(x). The result is the inverse function. Below is the step-by-step process for finding one.
f(x) = 7x - 9 ----> Switch the x and f(x)
x = 7f(x) - 9 -----> Add 9 to both sides
x + 9 = 7f(x) ----> Divide both sides by 7
f(x) = [tex] \frac{x + 9}{7} [/tex]
Divide 180° in a ratio of 4:5:9
Answers
[tex]\bf \cfrac{180}{4+5+9}\implies 10\qquad \qquad \qquad \qquad \qquad \stackrel{4\cdot 10}{40}~:~\stackrel{5\cdot 10}{50}~:~\stackrel{9\cdot 10}{90}[/tex]
gavin bakes 70 cookies in a hour. how many cookies can he bake in 4 hours?
A.350
B.240
C.280
D.210
Answers
To find out how many cookies Gavin can bake in 4 hours, we multiply the number of cookies he makes in one hour (70) by 4, resulting in 280 cookies.
Explanation:If Gavin bakes 70 cookies in one hour, to calculate the number of cookies he can bake in 4 hours, we simply need to multiply the amount he can bake in one hour by 4. The calculation is as follows:
Multiply the number of cookies baked in one hour (70) by the number of hours (4).70 cookies/hour × 4 hours = 280 cookies.
Therefore, the correct answer is C. 280 cookies.
3/7b, 5/3c, 11/21bc The LCD is
Answers
What is the measure of ∠D ?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
m∠D=
°
Answers
NEED HELP AS FAST AS POSSIBLE
Dan drew the line of best fit on the scatter plot shown below:
A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 4 and 1, 4 and 2, 5 and 3, 6 and 4, 7 and 5, 9 and 6, 10 and 7, 11 and 8, 13 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15.
What is the equation of this line of best fit in slope-intercept form?
y = 3x + 6 over 5
y = 5 over 6x + 3
y = 3x + 5 over 6
y = 6 over 5x + 3
Answers
Answer:
d
Step-by-step explanation:
y=6/5x+3
What is the value of m in the figure below?
Answers
Answer: square root of 136
Step-by-step explanation:
two-thirds of the children in the fourth grade class are girls. if there are 14 girls, what is the total number of children in the class
Answers
In Queensland, approximately 32% of household waste is recycled. What are the factors of 32?
Answers
32 = 2^5 . . . . . the only prime factor is 2. It has multiplicity 5.
32 = 1*32 = 2*16 = 4*8
Divisors of 32 are 1, 2, 4, 8, 16, 32.
A soft drink manufacturer produces 3408 cans in an 8-hour day. Cans are packaged 24 to a case. How many cases are produced each week? each month? (Assume one week is 40 hours, and one month is four weeks.)
Answers
3408 / 24 = 142 cases per 8 hour day
40 hours / 8 = 5 days
142 * 5 = 710 cases per week
710 * 4 = 2840 cases per month
Which terms accurately classify this triangle? CHOOSE EXACTLY TWO ANSWERS that are correct. A. right B. acute C. isosceles D. scalene
Answers
You can also notice the two lines entering 2 sides of the triangle, these lines mean that these two sides are equal since there are only 2 equal sides your triangle is an isosceles
Your 2 choices are; B. Acute and C. Isosceles
pls find 5he area of each rectangle thxs
Answers
The area is the product of length and width.
7×10=70
1.) A 2600 lb. car travelling downhill has a grade resistance of -130 lbs. Find the angle of the grade to the nearest tenth of a degree.
2.) A car travelling on a 2.7 degree uphill grade has a grade resistance of 120 lbs. Determine the weight of the car to the nearest hundred poulds.
Answers
Answer:
Step-by-step explanation:
Using the formula for Grade Resistance/Force in this case...
!!AND MAKING SURE YOUR CALCULATOR IS IN DEGREE MODE!!
R(or F) = Wsin∅--> R/F: the Grade Resistance
--> W: Weight of the Vehicle
--> ∅: Angle of the Hill
Because the Grade Resistance in problem 1) is (-)130lbs... we know that the car is traveling DOWNhill. (If it were simply 130lbs, the car would be traveling up the hill)
W: 2600lbs R: -130lbs ∅: ?? (plug in) --> -130lbs = 2600lbs(sin∅)÷ both sides by 2600lbs -130lbs÷2600lbs (lbs cancel) = -0.05-0.05 = sin∅YOU ARE NOT DONE! DO NOT BE FOOLED when you get to this point.we have just found SIN∅.... but we were asked to find ∅to do this, we must take the INVERSE of sin.... (because we cannot simply divide both sides by 'sin' by itself... we must instead...
---> sin[tex]^{-1}[/tex](-0.05) = ?
∅ ≅ -2.866 ..... (you can then divide 866 by 60' if necessary, to find degree and minute answer)...
∅ ≅ -2° 14'
Hope this will help you and others with the 2nd question as well! ^_^
DONT GIVE UP! You got this '_^
The angle of the grade to the nearest tenth of a degree will be ∅ ≅ -2° 14'.
What is mechanics?The branch of mathematics and physics known as mechanics is concerned with the interactions between matter, force, and motion in physical objects.
Using the formula for Grade Resistance/Force in this case...
R(or F) = Wsin∅
R/F: the Grade Resistance
W: Weight of the Vehicle
∅: Angle of the Hill
Because the grade resistance in problem 1) is (-)130lbs... we know that the car is traveling downhill. (If it were simply 130lbs, the car would be traveling up the hill)
W: 2600lbs R: -130lbs ∅: ??
(plugin) --> -130lbs = 2600lbs(sin∅)
÷ both sides by 2600lbs
-130lbs÷2600lbs (lbs cancel) = -0.05
-0.05 = sin∅
When you get to this point. We have just found SIN∅.... but we were asked to find it ∅. To do this, we must take the inverse of sin.... (because we cannot simply divide both sides by 'sin' by itself... we must instead...
sin(-0.05) = ?
∅ ≅ -2.866 ..... (you can then divide 866 by 60' if necessary, to find the degree and minute answer)...
∅ ≅ -2° 14'
Therefore, the angle of the grade to the nearest tenth of a degree will be ∅ ≅ -2° 14'.
To know more about mechanics follow
https://brainly.com/question/13402543
#SPJ2
You open a checking account. You are paid 3% interest on the average daily balance, but are charged a $4 monthly charge. Assuming that interest is paid monthly (regardless of the number of days in the month), calculate the average balance you must maintain to offset the $4 monthly charge.
Answers
You must maintain an average balance of $1,600.
4 = P*0.03*(1/12)
P = 48/.03 = 1600
Your average daily balance must be $1600 to offset the fee.
A rectangular park has an area of 2/3 square mile.The length of the park is 2 2/3 the width of the park.What is the width of the park?
Answers
We know that area of a rectangle is length times width:
A = lw
The length is 2 2/3 the width, so
l = 2 2/3w
We will change this to an improper fraction; multiply the denominator by the whole number and add the numerator:
l = 8/3w
Using this for l in the area formula, we have:
A = (8/3w)(w) = 8/3w²
2/3 = 8/3w²
Divide both sides by 8/3:
2/3÷8/3 = 8/3w²÷8/3
2/3×3/8 = w²
2/8 = w²
0.25 = w²
Take the square root of both sides:
√0.25 = √w²
0.5 = w
Please help me with this question. I will give 10 points and brainliest :) I beg you! I need this right!
Answers
I hope this helps! :)
A shoe box measures 15in. by 7 in. by 4 1/2 in. What is the surface area of the box?
Answers
4 1/2----> (4*2+1)/2-----> 9/2
[surface area of the box]=2*[area of the base]+[perimeter of the base*height]
[area of the base]=15*7------> 105 in²
perimeter of the base=2*(15+7)-----> 44 in
[surface area of the box]=2*[105]+[44*9/2]----> 210+198---> 408 in²
the answer is
408 in²
A rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm. Which expressions can be used to find the volume of the prism? Select each correct answer. A. 5∙212∙112 B. 1212∙112 C, 112(5+212) D. 12(1212∙112)
Answers
Volume is the amount of 3-dimensional space an object occupies
Volume is measured in cubic units.To find Volume Multiply the length, the width, and the height.
The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.
The rectangular prism has a length of 5 cm, a width of 212 cm, and a height of 112 cm.
Substituting these values in the formula.
Volume = 5∙212∙112
Option A. 5∙212∙112 is the right answer.
A parallelogram has an area of
144
144
square centimeters. If the base measures
24
24
centimeters, what is the height?
Answers
Use the discriminant to determine how many x-intercepts the graph of the equation has. y = –4x2 + 3x + 2 zero one two three
Answers
x-intercept: ( 3 + √41 / 8 , 0 ) , ( 3 - √41 / 8 , 0 )
Answer: two
help me asap
Which equation has both 7 and -7 as possible values of y ?
y³=42
y²=42
y³=49
y²=49
Which equation has both 4 and ? –4 as possible values of y ?
y²=8
y³=12
y²=16
y³=64
Answers
With this in mind, you expect to be looking for squares in answer to your question. You will find them.
1) y² = 49 . . . . . . . 4th selection
2) y² = 16 . . . . . . . 3rd selection
What is the greatest common factor of 7ab and 8b^3
Answers
Answer:
b
Step-by-step explanation:
The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.
7ab has factors 7, a, b
[tex]8b^3[/tex] has factors 2, 4, 8, b, b, b
These share in common b.
How do you find the first five terms of a sequence defined recursively
Answers
Suppose you have a function like
an = 3x - 2 Try the first couple
a1 = 3(1) - 2
a1 = 3 - 2
a1 = 1
a2 = 3(2) - 2
a2 = 6 - 2
a2 = 4 So each term differs by 3
a2 - a1 = 3
an = a_(n - 1) + 3
a3 = a2 + 3
a3 = 4 + 3
a3 = 7
a4 = a3 + 3
a4 = 7 + 3
a4 = 10
a5 = a4+ 3
a5 = 10 + 3
a5 = 13
I'll do one more and then check it.
a6 = a5 + 3
a6 = 13 + 3
a6 = 16
a6 = 3x -2
a6 = 3*6 - 2
a6 = 18 - 2
a6 = 16 which checks.
So the general formula is
an = a_(n - 1) * k if you were multiplying or
an = a_(n - 1) + k if you were adding. The key thing is that you are working with the previous term.
Point P' is the image of P(3, 5), under a reflection across the y-axis. What are the coordinates of P'?
Answers
.. P' = (-3, 5)
Answer:
P'( -3 ,5).
Step-by-step explanation:
Given : Point P' is the image of P(3, 5), under a reflection across the y-axis.
To find : What are the coordinates of P'
Solution : We have given
Pre image P( 3 ,5 ).
Rule of reflection over y axis : ( x ,y) →→→( -x , y) .
Here , x = 3 ; y = 5
Then , ( 3 ,5) →→→( -3 , 5) .
Therefore, P'( -3 ,5).