Renata and ben each have 32 feet of wood for framing their rectangular murals. Renata makes her frame 18 ft high. Ben makes his frame 5 ft high. Whose mural has the greater area? How much greater?
Answer: Renata, [tex]416\ ft^2[/tex]
Step-by-step explanation:
Given
The base of rectangular wood is [tex]b=32\ ft[/tex]
The height of Renata frame is [tex]h_r=18\ ft[/tex]
The height of the ben frame is [tex]h_b=5\ ft[/tex]
The area of the rectangular frame is [tex]A=b\times h[/tex]
The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]
The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]
Clearly, the area of Renata is more by [tex]576-160=416\ ft^2[/tex]
Please help me in these 2 questions ASAP! Thanks a lot!
Answer:
see explanation
Step-by-step explanation:
12
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then
[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]
13
Using the explicit formula for a geometric sequence
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then
a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576
QUESTION IN JPG CAN YOU ANSWER A B AND C
Answer: 8:10, 7:54, 26 minutes
Step-by-step explanation:
a) Go to the row labeled Church Street, start in the column with time 7:59, read down until you get to the row labeled Bus Station.
b) Go to the High Street row. The latest arrival time that is still before 8:30 is 8:10. Starting in the column with 8:10, read UP to the Hope Street row. The bus leaves there at 7:54
c) Pick any column in the row for School Road. In that column, read down to the Bus Station row. The difference between the two times is 26 minutes no matter which column is selected.
In 45 minutes time, Juan rode his horse for a total of 12 miles. He claims that his horse was traveling at 16 miles per hour. What assumption must Juan make for his claim to be true?
a: His horse made a rest stop.
b: His horse traveled at a constant speed.
c: His horse traveled in a straight line.
d: His horse's speed varied throughout the ride.
Answer: b
Step-by-step explanation:
An aquarium holds 11.39 cubic feet of water, and is 2.3 feet long and 1.8 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2.75feet
Step-by-step explanation:
Given data
Volume= 11.39 cubic feet
Length= 2.3 feet
Width= 1.8 feet
Depth= ???
The expression for the volume is
Volume= Length*Width*depth
11.39=2.3*1.8*d
11.39=4.14d
d= 11.39/4.14
d= 2.75
Hence the depth is 2.75feet
Determine the area under the standard normal curve that lies to the left of
(a) Z= -1.05, (b) Z= -0.36, (c) Z= - 1.07, and (d) Z = 1.35.
Answer:
A
Step-by-step explanation:
In the accompanying diagram, parallelogram ABCD has
vertices A(2, 1), B(8,1), C(11,5), and D(5,5). What is the
area of parallelogram ABCD?
Answer:
The area of the paralellogram is 24 square units.
Step-by-step explanation:
Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:
[tex]A = b\cdot h[/tex] (1)
Where:
[tex]A[/tex] - Area.
[tex]b[/tex] - Base.
[tex]h[/tex] - Height.
The base and height of the parallelogram are, respectively:
Base
[tex]b = 8-2[/tex]
[tex]b = 6[/tex]
Height
[tex]h = 5-1[/tex]
[tex]h = 4[/tex]
Then, the area of the parallelogram is:
[tex]A = (6)\cdot (4)[/tex]
[tex]A = 24[/tex]
The area of the paralellogram is 24 square units.
Select all expressions that are equal to 3 1/4.
What answer is it.
26x1/8 2 1/8 ×2 4×13 1/4×3 13×1/4
Answer:
13×1/4
Step-by-step explanation:
turn into improper fraction
HELPPPPP ME PLEASEEE
Step-by-step explanation:
write and say i am not understanding
Answer:
Ok ok, trust me this is not a scam nor hack
Step-by-step explanation:
I didn't no idea to explain in words so i edited the photo
Calculate the perimeter of the triangle shown.
Answer:36
Step-by-step explanation:15+5+16=36
guys what does integer mean in mathematicians , plss help i kind of forgot✌
Answer:
Integer is a whole number; a number that is not a fraction.
Step-by-step explanation:
How many faces does this figure have?
O two
O three
O four
O five
Answer:
Three
Step-by-step explanation:
So to count the number of faces, you look for how many flat sides the the figure has. Looking at the shape, you see that it has a face on top, on the bottom, to the left and to the right, on the front and at the back.
The given figure has five faces, option D is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a triangular prism
A triangular prism is a three-dimensional geometric shape that has two congruent triangular bases and three rectangular faces connecting them. Since each triangular base has one face, there are two faces that are triangular.
Additionally, there are three rectangular faces that connect the triangular bases.
Therefore, a triangular prism has five faces in total.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
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what percent of 95 is 60.8
Answer:
57.76 :)
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
what is 2324132352413142536-1342536435241342536/2354253643524125363541+425364763524142536475
That is going to be a looong answer...
[tex]2324132352413142536 - \frac{1342536435241342536}{2.354254e} - 21 + 425364763524142536475[/tex]
and done
A cylinder has a base radius of 14 mm and a volume of 3920π. What is the height of the cylinder?
Answer:
h = 20 mm
Step-by-step explanation:
V = πr²h
3920π = π(14²)h = π196h
divide both sides of the equation by π196:
20 = h
The top edge of the window is a semicircle. The distance across the window is 2.5 ft. What is the distance around the top edge of the window? Use 3.14 for π, and round your answer to the nearest tenth.
2.5 ft
3.9 ft
5 ft
7.85 ft
Answer: 3.9 ft
Step-by-step explanation:
From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:
= 2.5 / 2
= 1.25 ft
Then, we calculate the circumference of the circle which will be:
= 2πr
= 2 × 3.14 × 1.25
= 7.85 ft
Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:
= 7.85/2
= 3.9 feet
Answer:
b
Step-by-step explanation:
1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)
Step-by-step explanation:
or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)
or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)
or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)
or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)
or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)
or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156
or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41
or,-7x^2+58x=115
or,-7x^2+58x-115=0
or,-(7x^2-58x+115)=0
or,7x^2-58x+115=0
or,7x^2-(35+23)x+115=0
or,7x^2-35x-23x+115=0
or,7x (x-5)-23 (x-5)=0
or, (x-5)(7x-23)=0
Either, Or,
(x-5)=0 (7x-23)=0
or,x=0+5 or,7x=23
:x=5 :x=23/7
Hence,x=5 or 23/7
Belinda is a wedding planner who wants to help couples determine how many people to invite to their wedding. She collects data on hundreds of weddings and finds that you can predict the number of guests based on the total number of immediate family members (parents, siblings, children) of the couple. The equation for doing so is: (Guests)-hat = 38.28 + 15.47 (Family Members)
What is the best prediction for the number of guests a couple with a total of 12 family members? (Do not round your answer)
Answer:
53.75.. I didn't round it either
Step-by-step explanation:
Have nice day/night :)
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
Answer:
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
b. Find m2VBC
D
B
20x + 5
9x-2
C
18
Step-by-step explanation:
In ΔKLM, l = 56 inches, k = 27 inches and ∠K=10°. Find all possible values of ∠L, to the nearest degree.
ANSWER
21
∘
and 159
∘
Answer:
21 or 159 degrees
Step-by-step explanation:
Answer:
21, 159
Step-by-step explanation:
see attatched image
Find the solution to the following system using substitution or elimination:
Answer:
B) (3,1)
Step-by-step explanation:
y = -2x + 7
y = 3x - 8
3x - 8 = -2x + 7
combine like terms:
5x = 15
divide both sides of the equation by 5:
x = 3
y = 3(3) - 8 = 1
What is the probability of rolling a 1 and rolling a 6?
1/3 or 1/12?
Answer:
1/3
Step-by-step explanation:
Answer:
The probability of is rolling a 1 or a 6 on a die is [tex]\frac{1}{3}[/tex].
Step-by-step explanation:
Since there are six sides to a die, and there are two sides that are either 1 or 6, that means the probability of rolling a 1 or 6 is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex].
Which shows the expression below simplified? (4.9 x 108) ÷ (7 x 105)
Hoping it helps...
Have a nice day!
Ellen had 380 legos, but she lost 57 of them, how many legos does she have now?
Answer:
323 legos
Step-by-step explanation:
What is the answer to my question
A box containing oranges weighs 60kg. The empty box weighs 7.5kg. If the average weight of an
orange is 75g, how many oranges are there in the box?
Answer: 700 oranges
Step-by-step explanation: mass of box is reduced first.
Mass of oranges is 60 kg -7.5 kg = 52.5 kg
Mass or oranges is divided by mass of one orange 75 g = 0.075 kg.
52.5 kg/0.075 kg= 700
If AC =15 how long is ED? Help me :(
Answer:
7.5
Step-by-step explanation:
Using similar triangles.
Answer:
ED=7.5
Step-by-step explanation:
ΔABC is similar to ΔDEB (they share ∠B, and ∠C=∠D and ∠A=∠E because corresponding angles), so their sides are in ratio:
ED/AC=BD/BC
We can see that BC is twice BD (marked), so we know BD/BC=0.5
ED/AC=BD/BC
ED/15=0.5
ED=7.5
A man places a 20 foot ladder against a 16 foot What is the measure of the angle formed by the ladder and the ground?
Answer:
is there any more context?
Step-by-step explanation:
Answer:
53.130°
Step-by-step explanation:
tan(x)=16/12
x is used in replacement of theta symbol
use the pythagorean Theorem to find the missing length of the hypotenuse
C=
Answer:
300
Step-by-step explanation:
do 15 times 20 and that should make 300.
hope this helps
Graph the quadratic inequality of y>x^2+6x+6
Answer:
Step-by-step explanation: