Consider the enlargement of a triangle that has a scale factor of 7.5. A small triangle has a base of 5 centimeters and height of 2 centimeters. A larger triangle has a base of b and height of a. Area Original = 1 2 (5)(2) = 5 cm2 What is the area of the enlarged triangle? cm2
Answer:
b=37.5cm
h=15cm
A=281.25
Step-by-step explanation:
The scale factor will represent how many times bigger the base and the height of the triangle are com that of the smaller triangle. So in order to find these transformations, we need to multiply the scale factor of 7.5 by both the base and the height.
b=7.5(5cm)=37.5cm
h=7.5(2cm)=15cm
so now we can find the area of the enlarged triangle by using the formula:
[tex]A_{triangle}=\frac{bh}{2}[/tex]
[tex]A=\frac{(37.5cm)(15cm)}{2}[/tex]
[tex]A=281.25 cm^{2}[/tex]
Answer:
281.25
Step-by-step explanation:
Which are skew lines? Check all that apply.
•A and B
•C and B
• B and E
• E and C
• A and E
• A and C
Answer:
C and B; A and C; E and C;
Step-by-step explanation:
Skew Lines are lines that do not intersect and are not parallel. Skew lines must be in 2 different planes because in 1 plane 2 lines either intersect or are parallel. Assuming that a,b, and e are on the plane in front and c is on the plane in the back we can say that A and B, B and E, and A and E can not be skew lines because they lie on the same plane. This leaves C and B, E and C, and A and C.
Answer:
C and B; E and C; A and C
Step-by-step explanation:
Answer
aye can u help me ??
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3600 and his stock in Company B was worth $5350. The stock in Company A has increased 19% since last year and the stock in Company B has increased 24%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answer:
I have the same question let me know if you get the answer
Jose is raising money for a school trip by selling lollipops and packs of cookies. The price of each lollipop is $1 and the price of each pack of cookies is $2. How much money would Jose raise if he sells 12 lollipops and 13 packs of cookies? How much money would Jose raise if he sells ll lollipops and pp packs of cookies?
Answer:
For the first question, he would raise $38.
Step-by-step explanation:
1 x 12 = $12
2 x 13 = $26
12 + 26 = $38
Silvia opens a $500 simple interest checking account with a rate of 8%.After 6 months what is the interest rate on her account?
what is the relationship between and A and B
Answer:
Step-by-step explanation:
Please help me!!!
Problem Situation:
Eric is adding water to a 60-gallon pool.
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute.
How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?
Inequality that represents this situation:
27≤12+6x
To solve the inequality, you can begin by solving the equation as shown.
Drag a diagram to each row of the table to show which number line represents all of the solutions for the inequality and which number line represents all of the solutions for the problem situation.
Answer:
2.5 minutes
Step-by-step explanation:
I'm not really sure how to use the equation but this is how you do it:
There are 12 gallons already there and they want to get to 27 so he needs 15 more gallons. We know that it fills up 6 gallons a minute so to fill the 60 gallon pool it will take 10 minutes. 15 is a quarter of 60 so you divide 10 by 4. This gets you 2.5.
The number line which represents all of the solutions for the problem situation is Number line A.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
to solve an inequality:
Volume of the pool = 60-gallons
Water in the pool already = 12 gallons
Water left to fill the pool = 27 gallons
Water flow per minute = 6 gallons
Number of minutes it takes to fill the pool = x
The inequality:
27 ≤ 12 + 6x
subtract 12 from both sides
27 - 12 ≤ 6x
15 ≤ 6x
divide both sides by 6
x ≤ 15/6
x ≤ 2.5 minutes
Therefore, the given inequality has the solution x ≤ 2.5 minutes.
Read more on inequality:
brainly.com/question/14089846
#SPJ7
Can someone help me it's similar triangles
Answer:
i think its 18 sorry if im wrong
Step-by-step explanation:
The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate the volume and surface area of the lid of the spherical shaped bottle.
Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = [tex]\dfrac13\pi r^2 h[/tex]
Volume of lid [tex]=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3[/tex]
Surface area of cone = [tex]\pi r\sqrt{h^2+r^2}[/tex] [as lide has no base we don't include area of base.]
Surface area of lid = [tex](3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3[/tex]
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
The sun produces 3.3 x 10^ 32 joules of energy per day. A human produces 6.27 × 10^6 joules per day. How many times more energy does the sun produce than a human per day?
Answer:
The sum produces [tex]5.26*10^{25}[/tex] times more energy that a human.
Step-by-step explanation:
[tex]\frac{3.3*10^{32} }{6.27*10^{6} } \\= 5.26*10^{25}[/tex]
PLS HELP!!! WILL GIVE BRAINLIEST!!!
Answer:
A, C, and E
Step-by-step explanation:
C is correct because it is a vertical angle
E is correct because it is equal to angle 10 and 10 is a linear pair to angle 9
A is correct because it is equal to angle 6 and 6 is a linear pair to angle 5
Can someone please help me on this?
Answer:
For every one hour, there is 25 of the other side, so 1:25?
Step-by-step explanation:
What is the next fraction in this sequence? Simplify your answer.
7 13 3 11
8, 16, 4, 16, ...
Submit
?
Answer:
12
Step-by-step explanation:
What is the value for x?
Btw plis add the explanation I would love to know the process of getting the answer for future references :) thx!
Answer:
x = [tex]\frac{11y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
Step-by-step explanation:
7x - 3 = 11y + 5
7x = 11y + 8
x = [tex]\frac{11y}{7}[/tex] + [tex]\frac{8}{7}[/tex]
Please can you help me, I had to put this question up here twice
Answer:
The value of zis 23.
Step-by-step explanation:
here,
4x-69=2z-23(opposte angle of parallelogram are equal)
or,4x-2x=-23+69
or,2x=46
or,x=46/2
Therefore x=23#
I WILL GIVE THE BRAINLIEST
Jack works after school. each day he earns a set amount, plus an hourly wage. the following table represents a linear function f jack can use to determine to his pay.
hours: 1, 2, 3 | Pay: 18, 28, 38
SLOPE is 10.
Using the slope, find the y-intercept and write the function.
Answer:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
You need at least 30 cubic feet of sand to fill a sand box. Each bag contains 2.5 cubic feet of sand. What is the minimum number of bags you need to buy?
Answer:
12 bags of sand
Step-by-step explanation:
The minimum number of sand to fill the sandbox = 30 cubic feet
The volume or quantity of sand per bag is = 2.5 cubic feet
The minimum number of bags needed to fill the sandbox = 30 / 2.5 = 12 bags
Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for a total of $23. How much would it cost to order 5 pizzas and 6 orders of breadsticks?
Answer:
$54.50
Step-by-step explanation:
3 pizzas + 2 breadsticks = $29.50
2 pizzas + 3 breadsticks = $23
5 pizzas + 6 breadsticks = $x
multipy first equation by 3 and second by -2
9 pizzas + 6 breadsticks = $88.50
-4 pizzas -6 breadsticks = $-46
add the equations up, 9-4 pizzas + 6-6 breadsticks = $88.50-46
5 pizzas = $42.50 , divide by 5 both sides
1 pizza = $8.50
Substitute the price of a pizza, 2 pizzas + 3 breadsticks = $23
2*8.50 + 3breadstiks = $23
17 + 3 breadsticks = $23 subtract 17 from both sides so
3 breadsticks = $23 -$17 divide by 3
1 breadstick = 6/3= $2
$5*8.50 for pizzas + $6*2 for breadsticks = $54.50
It takes a barber 12 minutes to shave a face and 30 minutes to give a haircut. The barber works for 6 hours straight and spends twice as much time shaving faces as he does giving haircuts. If two of his customers get both a haircut and a shave, then how many customers does he see in total?
Answer:
7 customers
Step-by-step explanation:
a family wants to rent a car to go vaction Company A charges $ 55.50 and 16 cent per mile Company B charges $ 45.50 and 10 cent per mile How much more does Company A charge for x miles than Company B plzzzzzzzzz help if u do funny business imma report u and get your acoount dellted thxxxs and byeeeee have a gooood dayyyyy
Answer:
Step-by-step explanation: company A $55.50 and 16 cent per mile
company B $45.50 and 10 cent per mile
company A $55.50+16=$55.66
Company B $45.50+10=$45.60
Company A charges $10 and 6cent more then company B
company B charges $45.50
Comapny A charges $55.50 + 16 cent
Company B charges $45.50+10
5
Keisha borrowed $8000 at a rate of 9.5%, compounded semiannually. Assuming she makes no payments, how much will she owe after 9 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
Keisha will owe $18444.32 after 9 years
Step-by-step explanation:
Compound Interest
It occurs when the interest is added to the principal rather than paying it in.
It basically means paying interest over interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).
If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.
Please, note that since there are 2 compounding periods per year, n = 2, thus:
[tex]\displaystyle A=8000\left(1+{\frac {0.095}{2}}\right)^{2\cdot 9}[/tex]
Operating:
[tex]\displaystyle A=8000\left(1+0.0475\right)^{18}[/tex]
[tex]A = 8000\cdot 2.30554[/tex]
A = $18444.32
Keisha will owe $18444.32 after 9 years
Actual total direct labor $ 655,200 Actual hours worked 37,700 Standard labor-hours allowed for actual output (flexible budget) 36,500 Direct labor price variance $ 23,400 F Actual variable overhead $ 157,120 Standard variable overhead rate per standard direct labor-hour $ 4.20
Answer:
Complete question "Variable overhead is applied based on standard direct labor-hours allowed. Required: Compute the labor and variable overhead price and efficiency variances.
a. Direct labor
Direct labor price variance = (actual rate - standard rate)*actual hrs
(655,200-37700*x) = 23400
x = (655200+23400)/37700
x = 18
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37,700 - 36500)*18
= 21600 U
I. Price variance = 23,400 F
II. Efficiency variance = 21,600 U
b. Variable overhead
Price variance = (Actual rate - standard rate)*actual hrs
= (157120 - 37700*4.2)
= 1220 F
Efficiency variance = (Actual hrs - standard hrs allowed)*standard rate
= (37700-36500)*4.2
= 5040 U
I. Price variance = 1,220 F
II. Efficiency variance = 5,040 U
Please answer :D Rearrange the linear equation so that it is in slope-intercept form. Identify the slope (m) and the y-intercept (b). You must show your work for full credit.
x - 4 = 2(y - 3)
Answer:
[tex]y=\frac{1}{2}x+1[/tex]
The slope is 1/2.
The y-intercept is 1.
Step-by-step explanation:
We have:
[tex]x-2=2(y-3)[/tex]
Let’s divide both sides by 2. This gives us:
[tex]\frac{x}{2}-\frac{4}{2}=y-3[/tex]
Simplify:
[tex]\frac{1}{2}x-2=y-3[/tex]
Add 3 to both sides:
[tex]\frac{1}{2}x+1=y[/tex]
Flip:
[tex]y=\frac{1}{2}x+1[/tex]
This is in the slope-intercept form:
[tex]y=mx+b\\[/tex]
Where m is the slope and b is the y-intercept.
Hence, our slope m is 1/2 and our y-intercept b is 1.
Find the inequality represented by the graph
Answer:
y >or equal to 1/3x+1
hope that can help
The area of a trapezoid is 80 ft?. Its bases have lengths 26 ft and 14 ft. Find its height.
Plz HURRY
Answer it's 40 all you had to do was add 26 and 14 you get 40 then subtract from 80 then you find your height
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Add the height and width and you get 40 then take it from 40
What is the answer?
-1.2x=12
775757874875875345634634563456
Between which 2 consecutive integers is the square root of 250 located?
Answer:
Between
15
and
16
Explanation:
15
2
=
225
<
250
<
256
=
16
2
So
15
=
√
225
<
√
250
<
√
256
=
16
In fact
√
250
=
[
15
;
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
1
,
4
,
3
,
3
,
4
,
1
,
30
]
=
15
+
1
1
+
1
4
+
1
3
+
1
3
+
1
4
+
1
1
+
1
30
+
...
≈
15.8113883
Step-by-step explanation:
pls mark me as a Brainliest
If you answer this I'll mark you the brainest
During a 4-second practice round, one of the Click Bots made only 8 clicks.
Amir claims that the unit rate is 2 clicks per second.
Chloe disagrees. She says it's 0.5 clicks per second.
Who is correct?
Amir or chloe and why ?
Answer:
Step-by-step explanation:
Answer:
amir is correct
Step-by-step explanation:
amir is correct because 8/4 is 2. Therefore if the button is clicked 2 times each second then the button will be clicked 8 times every 4 seconds
A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15
inches longer than the width. Find the width.
Answer:
So, the required width of rectangular piece of aluminium is 8 inches
Step-by-step explanation:
We are given:
Perimeter of rectangular piece of aluminium = 62 inches
Let width of rectangular piece of aluminium = w
and length of rectangular piece of aluminium = w+15
We need to find width i.e value of x
The formula for finding perimeter of rectangle is: [tex]Perimeter=2(Length+Width)\\[/tex]
Now, Putting values in formula for finding Width w:
[tex]Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8[/tex]
After solving we get the width of rectangular piece :w = 8
So, the required width of rectangular piece of aluminium is 8 inches
JY = 8.3
YL = 6.4
J=
Answer:
j would equal 4.5 your welcome
Answer:
4.5
Step-by-step explanation: