Answer:
15m
Step-by-step explanation:
did the math
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 91/4, — 71/4
B. 7
C.7, -2
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale.
Answer:
Lateral Surface Area = 472 m²
Total Surface Area = 486m²
Step-by-step explanation:
The above prism is a Triangular prism
a) Lateral Surface Area = Perimeter of the Base × H
H = 29m
Perimeter of the Base = (7m + 7.28m + 2m)
= 16.28m
Lateral Surface Area = 16.28m × 29m
= 472.12 m²
Approximately to the nearest whole number = 472 m²
b) Total Surface Area
Triangular prism =
2 Triangles and 3 Rectangles
1st Triangle = 1/2 × base × Height
= 1/2 × 2m × 7m
= 7m²
2nd Triangle = 1/2 × base × height
= 1/2 × 2m × 7m
= 7m²
1st Rectangle = Length × Width
= 29m × 2m = 58m²
2nd Rectangle =
Length × Width
= 29m × 7.28m = 211.12m²
Length × Width
= 29m × 7m = 203m²
Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²
= 486.12m²
Approximately to the nearest whole number = 486 m²
Option A is the correct option
what is the current world record for solving a rubiks cube 3x3
The following sequence has first five terms as: -20, -17, -14, -11, -8, .......... Find an expression for the nth term of the sequence
Answer:
a(n) = -20 + 3(n - 1)
Step-by-step explanation:
a(n) = -20 + 3(n - 1)
Marcus' 2018 federal tax payment was $5,350. This payment was ⅕ of his 2018 annual salary. What is his 2018 annual salary?
Answer:
$26750
Step-by-step explanation:
1/5 * (total salary) = 5350
So, 5*5350 = total salary = 26750
pls help this question bamboozles me and I am now sitting here confused
Answer:
10+3pi
Step-by-step explanation:
The perimeter of of the shaded region is
AC+CT+marcSBT+SA
*Finding AC
The diagonals of a rectangle are equal is measurement. Since RB is a radius of the circle, then RB is 6. Since AC and RB are both diagonals of the rectangle, then AC is also 6.
*Finding CT
CT=RT-RC where RC is the width of the rectangle
Also RT is a radius so we have that
CT=6-RC
*Finding marcSBT
The circumference of a whole circle is 2pi*r.
We have a quarter of this with r=6.
1/4*2pi(6)
1/4*12pi
3pi
*Finding SA
SA=RS-AR
RS is a radius of the circle and AR is the length of the rectangle.
So we have that this can be rewritten as
SA=6-AR
Let's put these parts together:
6+6-RC+3pi+6-AR
Simplifying:
18-RC-AR+3pi
18-(RC+AR)+3pi
18-8+3pi (Remember length plus width equal 8)
10+3pi
64, –48, 36, –27, ...
Which formula can be used to describe the sequence?
f(x + 1) = Three-fourthsf(x)
f(x + 1) = Negative three-fourthsf(x)
f(x) = Three-fourthsf(x + 1)
f(x) = Negative three-fourthsf(x + 1)
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Answer:
a
Step-by-step explanation:
Which function has the same range as
f(x)=-2 Sqrt X-3 +8?
g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8
Answer:
C
Step-by-step explanation:
The option that has the same range than f(x) is:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
What is the range of the given function?
Here we first have the function:
[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]
Remember that the square root only can be evaluated arguments equal or larger than zero.
So the minimum value of x that we can use is x = 3.
[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]
And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.
Which other function has the same range?So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.
The option that meets these two conditions is the third one:
[tex]g(x) = -\sqrt{x + 3} + 8[/tex]
If you want to learn more about domains and ranges, you can read:
https://brainly.com/question/10197594
you're reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance in this example approximately how long will it take to pay off the original deck completely.
A.2yrs
B.5yrs
C.12yrs
D. The debt will never be completely repaid.
Answer:
The correct answer is D. The debt will never be completely repaid.
Step-by-step explanation:
Since the question refers to a credit card debt on which the minimum monthly payment is paid for an indefinite period of months, in this case the debt will never be fully repaid, since the minimum payments will be constantly added values as interest, which will increase the value of the debt due to compound interest.
Answer:
c. 12 years
Step-by-step explanation:
according to the book, it says it would take 12 years to get it paid off with just the minimum payments
Need help with operations with polynomials!!!!
Answer:
Step-by-step explanation:
Please help ASAP ! I’ll mark the right answer brainliest ! (People who leave scamming links will be reported )!
Answer:
3
Step-by-step explanation:
Simply follow the translation rule by adding 5 to the x value and subtracting 4 from the y value
The question is essentially asking us to find the y value after the translation
If 7 was the pre image y value and the rule for y value = is -4 then the new y value = 7 - 4 = 3
Help me with this pls
Answer:
Point Form:
(1,−2)
Step-by-step explanation:
Equation Form:
x=1 , y=−2
glad to be of assistance
WXYZ is a rhombus. Find the measurements using what you know about the properties of a rhombus.
WZ=4cm
Answer:
See below.
Step-by-step explanation:
In a rhombus, all sides are congruent.
In a rhombus, opposite angles are congruent, and consecutive angles are supplementary.
XW = 4 cm
WZ = 4 cm
ZY = 4 cm
YX = 4 cm
m<X = 100 deg
m<Z = 100 deg
m<W = 80 deg
m<Y = 80 deg
4.26
[tex]12 \times 0.4 = 4.8 \\ [/tex]
х =
•100
•120
•140
Answer:
i just don't known
Step-by-step explanation:
1.20
Question 13 (1 point)
Hans is jumping on a trampoline. His distance from the ground, in metres, in terms of time, is modelled by the
equation () - 1.5 sm(360s)" + 2. What does the 2 in this equation represent?
Solve
what is the measure of ABD
Answer:
39
Step-by-step explanation:
please answer this !!!
5x + 100
x = 16°
Step-by-step explanation:
The sum of angles in a straight line = 180°
Therefore
5x + 100° = 180°
5x = 180° - 100°
5x = 80°
x = 80/5
x = 16°
if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32
Answer:
SR = 28
Step-by-step explanation:
Recall: The corresponding side lengths of any two similar polygons are proportional.
Since the two polygons given are similar, it implies that:
SR/DC = PQ/AB
SR = ?
DC = 20
PQ = 21
AB = 15
Plug in the values
SR/20 = 21/15
Solve for SR. Cross multiply
SR*15 = 21*20
SR*15 = 420
Divide both sides by 15
SR = 420/15
SR = 28
Katie walked a total of 68 kilometers by making 34 trips to school. How many trips will Katie have to make in all to walk a total of 348 kilometers? Solve using unit rates.
Find the distance of each trip:
68 km / 34 trips = 2 km per trip
Divide total distance by distance per trip:
348 km / 2 km per trip = 174 trips
Answer: 174 trips
Need help with this question
Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°
A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?
Given:
A cube has square sides with area [tex]x^2+24x+144[/tex].
To find:
The expression that represents the surface area of the cube.
Solution:
We have
The area of each side of cube = [tex]x^2+24x+144[/tex]
Number of sides of a cube = 6
We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
[tex]SA=6(x^2+24x+144)[/tex]
[tex]SA=6(x^2)+6(24x)+6(144)[/tex]
[tex]SA=6x^2+144x+864[/tex]
Hence, the expression that represents the surface area of the cube is [tex]6x^2+144x+864[/tex].
help please help ghelp
Answer:
6,14
Step-by-step explanation:
yeah that is the answer
because if you substitute you get the answer
Answer:
C
Step-by-step explanation:
6=x
14=y
input those 2 values into the equation
What is the factored form of 8x2 + 12x?
4(4x2 + 8x)
4x(2x + 3)
8x(x + 4)
8x(x2 + 4)
4x(2x + 3) .......
hope it helps
Answer: b= 4x( 2x + 3)
Step-by-step explanation:
8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.
= 4x( 2x + 3)
What are the real and imaginary parts of z? Z = 20i+26
Answer:
Imaginary: 20i
Real: 26
Step-by-step explanation:
Hope this helped.
Can someone please solve this?
Ariana rode the bus 5 3/8 miles to the mall. Then she got back on the bus and ride 2 3/4 miles to her friends house and then another 6 1/12 miles back to her house. What is the total distance, in miles that ariana rode the bus
Answer:
14 5/24
Step-by-step explanation:
Ariana's rode the bus 5 3/8 miles to the mall
She rode 2 3/4 miles to her friends place
Then she rode anrhe 6 1/12 miles back home
Therefore the total distance can be calculated as follows
= 43/8 +11/4 + 73/12
= 5456/384
= 341/24
= 14 5/24
Hence the total distance is 14 5/24 miles
In 1990, the population p of India was about 870.5 million people. By 1995, there were about 960.9 million people. The equation =870.5⋅(1.021)
p
=
870.5
⋅
(
1.021
)
t
approximates the number of people, in millions, in terms of the number of years t since 1990.
By what factor does the number of people grow in one year?
Answer:
18.08 million people increase per year
Step-by-step explanation:
870.5 to 960.9 difference in 5 years.
960.9- 870.5 divided by 5 is your formula
comes to a 18.08 million people increase per year
no agruing this answer
How much is 3 lbs of gold worth I’m American money
Answer:
$1865
The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.
The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.
75 mm
a
60 mm
What is the length of the missing leg?
Answer:
a = 45 millimeters
Step-by-step explanation:
In order to solve this, we need to know that for right-angled triangles the following is true:
[tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the hypotenuse and "a" and "b" are the legs)
From the formula above we can conlude that...
[tex]a = \sqrt{c^{2} - b^{2} }[/tex]
Now we just substitute the variable that we know and get that...
[tex]a = \sqrt{c^{2} - b^{2} }\\a = \sqrt{75^{2} - 60^{2} } \\a = \sqrt{5,625 - 3600} \\a = \sqrt{2025} \\a = 45[/tex]
Therefore a = 45millimeters.
What is the value of x, given that PQ BC