Triangle ABC is similar to triangle FGH.
H
А
6 cm
B
12.5 cm
+
9 cm
5 c
15 cm
с
F
What is the value of x in centimeters?
Answer:
i can't understand the question but if you put a link I can figure it out
Which of the following formulas shows how to calculate the ending balance of an account with a beginning balance of $600 that earns 3.5% compound interest over 8 years?
Answer:
[tex]A(t) = 600(1.035)^8[/tex]
The ending balance is of $790.1.
Step-by-step explanation:
Compound interest:
The amount of money earned after t years, in compound interest, is given by:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
In which A(0) is the initial amount of money and r is the interest rate, as a decimal.
$600 that earns 3.5% compound interest over 8 years
This means, respectively, that:
[tex]A(0) = 600, r = 0.035, t = 8[/tex]
So, the formula is:
[tex]A(t) = A(0)(1+r)^{t}[/tex]
[tex]A(t) = 600(1+0.035)^{8}[/tex]
[tex]A(t) = 600(1.035)^8[/tex]
Ending balance:
The ending balance is:
[tex]A(t) = 600(1.035)^8 = 790.1[/tex]
The ending balance is of $790.1.
PLEASE HELP ILL GIVE BRAINLIEST!!
What is the volume of the solid, rounded to the nearest tenth? Use 3.14 for TT.
This is too many questions
122.7 cm
3434.4 cm3
858.6 cm
Answer:
Step-by-step explanation:
Radius r = 12.5/2 = 6.25 cm
Height h = 7 cm
volume = πr²h = 3.14⋅6.25²⋅7= 858.6 cubic cm
Please help I need it
Answer:
A. Yeah
Step-by-step explanation:
HELP PLS!!!
120=x-523?
Answer:
-62760
Step-by-step explanation:
Need help to answer this problem
Answer:
Step-by-step explanation:
9.1 h + 11.6 t = 9.98(60)
9.1 h + 11.6 t = 598.8 ........ (1)
h + t = 60 ........ (2)
h = 60 - t
9.1(60 - t) + 11.6 t = 598.8
546 - 9.1 t + 11.6 t = 598.8
2.5 t = 52.8
t = 52.8 ÷ 2.5 = 21.12 ≈ 21 (lb.)
h = 60 - 21.12 = 38.88 ≈ 39 (lb.)
A pizza is removed from the oven at a temperature of 425 F. After 15 minutes, the pizza has
cooled to 200°F. Use a continuous exponential decay model to find the approximate decay
rate.
WILL MARK BRAINLIEST!! 20 POINTS!
Answer:
The decay rate is of 0.05 = 5% per minute.
Step-by-step explanation:
Continuous exponential decay model:
The exponential equation of decay for an amount, after t units of time, is given by:
[tex]A(t) = A(0)e^{-rt}[/tex]
In which A(0) is the initial amount, e(approx 2.72) is the Euler value and r is the decay rate, as a decimal.
A pizza is removed from the oven at a temperature of 425 F.
This means that [tex]A(0) = 425[/tex]
After 15 minutes, the pizza has cooled to 200°F.
This means that [tex]A(15) = 200[/tex], that is, when [tex]t = 15, A(t) = 200[/tex]
We use this to find r.
[tex]A(t) = A(0)e^{-rt}[/tex]
[tex]200 = 425e^{-15r}[/tex]
[tex]e^{-15r} = \frac{200}{425}[/tex]
[tex]\ln{e^{-15r}} = \ln{\frac{200}{425}}[/tex]
[tex]-15r = \ln{\frac{200}{425}}[/tex]
[tex]r = -\frac{\ln{\frac{200}{425}}}{15}[/tex]
[tex]r = 0.05[/tex]
The decay rate is of 0.05 = 5% per minute.
Solve for x, round to the nearest thousandth.
Answer:
33
Step-by-step explanation:
hope this helps
Please help. Find the area of the following shape
There are several ways to answer this. All involve finding a way to calculate the area of shapes we're familiar with and using those areas to find the area of this unusual shape. I've included three different ways, all of which yield the same total area.
In the first case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AE. That will give you a square and a trapezoid. The area of the square is (2 m)(5 m) = 10 m², and the area of the trapezoid is (0.5)(9 m - 5 m)(4 m + 4 m - 2 m) = 12 m². So the area of the entire shape is 10 m² + 12 m² = 22 m².
In the second case, you cut the shape into two shapes by drawing a perpendicular line from point C to segment AB. That will give you a rectangle and a triangle. The area of the rectangle is (2 m)(9 m) = 18 m². The area of the triangle is (0.5)(4 m - 2 m)(9 m - 5 m) = 4 m². So the area of the entire shape is 18 m² + 4 m² = 22 m².
In the third case, you can imagine that this shape is a piece of a larger rectangle with sides 4 m and 9 m with an area of 36 m². The area of this shape would be the difference between 36 m² and the area of the imaginary trapezoid that fills in rest of the rectangle. That trapezoid would have an area of (0.5)(4 m - 2 m)(9 m + 5 m) = 14 m². So the area of the shape given would be 36 m² - 14 m² = 22 m².
In any case, the area of the shape is 22 m².
How do you round 60.95 to the nearest whole number ? What will it become
Answer:
it would become 61
Step-by-step explanation:
the tenths place (.9) is greater or equal to five. if it follows the rule, the tens place (0) would increase by one.
Write the quadratic equation whose roots are -3 and 4 and whose leading coefficient is 4
Answer:
[tex]4x^2 -4x - 48 = 0[/tex]
Step-by-step explanation:
Given
[tex]x= -3 \ or\ 4[/tex] -- roots
[tex]n= 4[/tex] --- leading coefficient
Required
Calculate the quadratic equation
[tex]x= -3 \ or\ 4[/tex]
Split to 2:
[tex]x = -3\ or\ x = 4[/tex]
Equate both to 0
[tex]x +3 = 0\ or\ x - 4= 0[/tex]
Multiply both together:
[tex](x + 3) * (x - 4) = 0 * 0[/tex]
[tex](x + 3) * (x - 4) = 0[/tex]
[tex]x^2 -4x +3x - 12 = 0[/tex]
[tex]x^2 -x - 12 = 0[/tex]
Multiply both sides by the leading coefficient, n
[tex]n * [x^2 -x - 12] = 0 * n[/tex]
[tex]4 * [x^2 -x - 12] = 0 * 4[/tex]
[tex]4 * [x^2 -x - 12] = 0[/tex]
Open brackets
[tex]4x^2 -4x - 48 = 0[/tex]
(-14.2b - 97.35) + (6.76d - 118.7 - 3.4d )
Answer:
Hi! The answer to your question is -14.2b+3.36d-216.05
Step-by-step explanation:
Simplify the Expression.
A farmer recently purchased his
neighbor's farm. Before the purchase, the farmer owned a total of 365
acres of land. After the purchase, he
owned a total of 521
acres of land. Determine the percent increase in the number of acres of land owned by the farmer.
The number of acres of land owned by the farmer increased by about nothing
%. round to one decimal place as needed
thank you
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
Help pls and explain I need 10 mins left
Answer:
32
Step-by-step explanation:
21 divided 4 equals 5 1/4 in a word problem
Answer:
5.25
alternate form
21/4,5/¼
Select all statements that are true about bases and heights in a parallelogram
Answer:
hi
Step-by-step explanation:
1. The area formulas for a triangle and a parallelogram require multiplying base by height.
true
2 .A triangle and parallelogram with the same base and height will have the same area.
false
3. A rectangle and parallelogram with the same base and height will have the same area.
true
4. The area formula of a trapezoid requires finding the product of the bases.
false
5. The base of a triangle is always the shortest side.
false
Answer:
12
Step-by-step explanation:
what are the solution to the system of equations graphed below?
Answer: the answer is A
Step-by-step explanation:
u need to look where the lines intercept and im doing this in my math class now so my teacher said wherever the lines intercept u need to take the points where they intercept at so for this one it would be (4,8) and the other is (0,-8)
Athena sells plates at a deal of 5 for $10. If Athena sells 25 plates per every half hour, how much money will Athena make?
Answer:10*25=250
Step-by-step explanation:
geometry
please help!!
picture included
Answer:
x = 12
Step-by-step explanation:
Acvording to the intersecting chord theorem, the products of the line segments formed are equal to each other.
Therefore:
5*x = 10*6
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
Can you help me, please please!!!
Answer:
1.4/10=2/5
2.4/8=1/2
3.8/12=2/3
4.7/5=14/10
5.1/3=2/6
in Enter a number into each box to create
an equation that has exactly no real solution.
3(2x+5)-X =
2) Enter a number into
each box to create an
equation that has exactly one real solution.
19x -(5x+9)+7=
Answer: 5X+15
The first one is
The second one is 2(7X+8)
300 is 60% of what of number
Answer:
500
Step-by-step explanation:
your welcome!!!!!!!
Answer:
500 is the number
Step-by-step explanation:
What type of things should a 6th-7th grader be learning?
Math,social studies,science, etc
Subtract the polynomials:
(1 Point)
f(x) = 10x4 + 2x² +1; 8 (x) = 3x4 + 3x + 11
O f (x) – 8(x) = 7x4 + 2x2 – 3x – 10
O f(x) – 8 (x) = 7x4 + 2x2 – 3x + 12
O f (x) – 8(x) = 7x4 + 2x2 + 3x + 12
O f(x) – 8(x) = 7x4 + 2x2 + 3x - 10
Answer: thats the answer
Step-by-step explanation:
A cylindrical can of popped corn has a lateral surface area of 6760 T
cm? The height of the can is 40 cm. Using your formula chart, find the
correct formula and use it to find the radius.
F. 168 cm
H. 13 cm
G. 84.5 cm
J. 26 cm
9514 1404 393
Answer:
G. 84.5 cm
Step-by-step explanation:
Assuming the lateral area is 6760π cm², we can find the height from ...
A = 2πrh
r = A/(2πh) = (6760π cm²)/(2π·40 cm) 6760/80 cm = 84.5 cm
The radius of the can is 84.5 cm.
determine the solution using substitution y=3/2x-6 2y=7-4x
Answer:
x = 19/7 , y= -27/14
Step-by-step explanation:
The expression (y11)(y2)8 is equivalent to yx. What is the value of x?
13 points.First Come First Serve!!!!
(=0w0=) Little one, welcome! Aaliyah!
HELP WITH MATH!!!!!!!!
Answer:
28 units sqr
Step-by-step explanation:
Area of Rectangle
A= Lw = 8(4) = 32
Area of Triangle
A= [tex]\frac{b(h)}{2}[/tex] = [tex]\frac{2(4)}{2}[/tex] = 4
32- 4 = 28 units sqr
On this necklace the ratio of black beads to white beads is 1:4
How many more black beads do you need to
add to make the ratio of black to white 4:1 ?
Answer:
16
Step-by-step explanation:
This is because the ratio of black to white can be set up as 1/4, for every one black bead there is 4 white so what is 1/4x that equals 4? simple, x=16 because 16/4 equals to 4 so it would be 4 black beads to 1 white bead.