Answer:
the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.
Step-by-step explanation:
The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as
A = L * W
As such, given that the length is 5 inches more than the width,
L = W + 5
33 = W(W + 5)
W² + 5W - 33 = 0
Using the formula method which states that
s = -b±√(b²-4ac)/2a
W = -5 ± √5² - 4(1)(-33)/2
= -5 ± 12.53/2
= 7.53/2 (since length cannot be negative)
= 3.755 inches
L = 3.755 + 5
= 8.755 inches
Gavin mixes the amount of red from one shade of paint with the amount of yellow from a different shade of paint. He mixes the batch so he will have the greatest possible amount of paint. What amounts of red and yellow from which shades are used in the mixture?
Answer:It would be 3 1/4 from sunrise, yellow and 5 5/6 red from mango.
Gavin should mix equal amounts of the primary colors red and yellow to achieve the greatest possible amount of orange paint through subtractive color mixing.
Explanation:Gavin is looking to mix paint to create the greatest possible amount of a new paint color. To do this, he should use the primary colors red and yellow to make the secondary color orange. When mixing paints, which is a form of subtractive color mixing, combining these two pigments will result in a new hue without diminishing the amount of paint he has.
In subtractive color mixing, the secondary color orange is created by mixing the primary colors red and yellow in equal proportions. To obtain the largest amount of new paint, Gavin should mix equal parts of the red and yellow shades, assuming that the volumes of paints being mixed are also equal. Thereby, making use of the entire quantity of red and yellow paint to create the largest possible amount of orange paint.
It's important to note that this approach is different from additive color mixing, which involves light colors and operates under a different set of rules. In Gavin's scenario with pigments, red and yellow are the primary colors he should focus on to achieve the desired outcome.
A baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is y=0.32x-20.51,where x is the number of times a bat and y is the number of hits.
How many hits should he expect from a player who is at bat 175 times?
We have been given that a baseball coach graphs some data and finds the line of best fit. The equation for the line of best fit is [tex]y=0.32x-20.51[/tex],where x is the number of times at bat and y is the number of hits.
To find the number of hits in 175 times at bats, we will substitute [tex]x=175[/tex] in our given equation as:
[tex]y=0.32(175)-20.51[/tex]
[tex]y=56-20.51[/tex]
[tex]y=35.49[/tex]
Upon rounding to nearest whole number, we will get:
[tex]y\approx 35[/tex]
Therefore, the coach would expect 35 hits from a player who is at bat 175 times.
The expected number of hits = 35.
The given line of best fit is [tex]y=0.32x-20.51.[/tex]
Given that:
x = the number of times a bat = 175.
We have to find y = ?
We plug x = 175 in the given equation.
[tex]y=0.32x-20.51\\y=0.32(175)-20.51\\y=35.49[/tex]
The integer before 35.49 is 35. [Because, number of hits can not be fraction.]
So the expected number of hits = 35.
Learn more: https://brainly.com/question/1214333
A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds. The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. How much does the boy weigh?
Answer:
111 pounds
Step-by-step explanation:
A boy holding a stack of 9 identical books steps on a scale and weighs 138 pounds.
If the boy's weight is represented as B and the books are represented as b, this implies that:
B + 9b = 138
The boy then holding a stack of 3 of the same books again steps on the scale and weighs 120 pounds. This implies that:
B + 3b = 120
This has yielded two simultaneous equations:
B + 9b = 138
B + 3b = 120
We can solve by subtracting the second from the first.
B + 9b = 138
- (B + 3b = 120)
-----------------------
=> 6b = 18
b = 18 / 6 = 3 pounds
This means that each book weighs 3 pounds.
Putting b back in the second equation:
B + (3 * 3) = 120
B + 9 = 120
B = 120 - 9
B = 111 pounds
Therefore, the boy weighs 111 pounds.
Answer:
The boy would weigh 111 lbs.
Explanation:
Its complicated
Please help i never learned this
chapter 8 question 6
Answer:
0.73
Step-by-step explanation:
[tex] \tan \: 36 \degree =0.726542528 \\ \tan \: 36 \degree =0.73 \\ [/tex]
The Cholula Pyramid in Mexico has a height approximately ퟐퟏퟕfeet and a base approximately ퟏퟒퟕퟔfeet by ퟏퟒퟕퟔfeet. The Cheops Pyramid (part of the Great Pyramids) is taller with an approximate height of ퟒퟖퟎfeet but with a ퟕퟓퟓfeet by ퟕퟓퟓfeet base. Determine which pyramid has the most volume
Answer:
The Cholula Pyramid has a bigger volume out of the two.
Step-by-step explanation:
The volume of a Pyramid is V=1/3Bh
Volume of the Choulula = 1/3 (2,178,576)(217)= 157,583,664
Volume of The Cheops Pyramid = 1/3 (570,025)(480)=91,204,000
157,583,664 is greater than 91,204,000
To determine the pyramid with the most volume using the formula for the volume of a pyramid.
The volume of a pyramid: To determine which pyramid has the most volume, we use the formula for the volume of a pyramid: Volume = (1/3) × base area × height.
Cholula Pyramid: Volume = (1/3) × 1456 × 121 = 7307680 cubic feet
Cheops Pyramid: Volume = (1/3) × [tex](585)^2[/tex] × 464 = 47640550 cubic feet
Therefore, the Cheops Pyramid has the most volume.
Identify the triangle that contains an acute angle for which the sine and cosine ratios are equal.
Triangle A B C has angle measures 50 degrees, 40 degrees, and 90 degrees.
Triangle A B C has angle measures 45 degrees, 45 degrees, 90 degrees. The lengths of sides A C and C B are congruent.
Triangle A B C has angle measures 68 degrees, 22 degrees, and 90 degrees.
Triangle A B C has angle measures 60 degrees, 30 degrees, and 90 degrees.
Answer:
Step-by-step explanation:
Given that, a series of triangle,
For the sine and cosine to be equal, then,
Sinθ = Cosθ
From, trigonometry identities
Sinθ = Cos(90-θ)
Then,
θ = 90-θ
θ + θ = 90
2θ = 90
θ = 90 / 2
θ = 45°
From the triangle given, using trigonometry ratio,
Sinθ = opposite / hypotenuse.
Sinθ = 20 / 25
Sinθ = 0.8
θ = arcsin(0.8)
θ = 53.13°
The other angles at the triangle is
90-53.13 = 36.87°.
Answer:
b
Step-by-step explanation:
What is the LCM of 30 and 35?
Answer: 210
Explanation: To find the least common multiple for the integers 30 and 35, we start by making a factor tree for each of our integers.
So 30 is 10 · 3 and 10 is 5 · 2.
35 is 7 · 5.
Notice that our 5's match up as factors of each of our integers.
When finding the least common multiple, we simply multiply all of our factors together but since the 5's match up,
we only multiply by a 5 once.
So our least common multiple or LCM is
5 · the 2 that doesn't match up · the 3 that
doesn't match up · the 7 that doesn't match up.
So we have 5 · 2 · 3 · 7 or 210.
Work is shown below.
Solve
17/20 = X/100
solve for x.
Answer:
x=85
Step-by-step explanation: You need to cross multiply
A)125
B)130
C)120
D)135
Answer:
The answer is B.
Step-by-step explanation:
Pentagons have a sum of 540°
540 - (115 + 115 + 90 + 90)
540 - 410
130
Answer:
B)130
Step-by-step explanation:
115+115+90+90=410
pentagon angles add up to 540
410+130=540 degrees
y−4=−2(x+3) Complete the missing value in the solution to the equation (-3, )
Answer:
y=4
Step-by-step explanation:
y-4=-2(x+3)
y-4=-2(-3+3)
y-4=-2.0
y-4=0
y=4
2x2x2x2x2x2x2x2x2x2=?
Answer:
1024
Step-by-step explanation:
calculators are good resources when its math
Please help me now plz
I will mark you brainliest
Answer:
155.9 = h
Step-by-step explanation:
Since it is an equilateral triangle, the angles are all 60 degrees
Call the angle on the bottom right theta
Theta = 60 degrees
The angle h makes with the base is 90 degrees so it is a right triangle
sin theta = opp/ hyp
sin 60 = h/ 180
Multiply each side by 180
180 sin 60 = h
155.8845727 = h
To the nearest tenth
155.9 = h
Which equation represents the line that passes through
the points (-7, 1) and (5, -5)?
Answer:
Answer; y= -x/2 -5/2 OR
2y= -x-5 or
2y +x +5 =0
Step-by-step explanation:
To solve this question, you first find the gradient. For this question the gradient is -1/2. After that, you take one of the points and fix it into this equation: y -y^1 = m(x -x^1).
m =gradient or slope of the line.
Find the area of the parallelogram. *
Captionless Image
28.12 sq cm
3.9 sq cm
11.3 sq cm
56.24 sq cm
None of the above
Answer:
28.12 cm^2
Step-by-step explanation:
I don't know what "length" and "bottom" mean as dimensions in a parallelogram, but if they are a side length and an altitude drawn to that side, then the area is 7.6 cm * 3.7 cm = 28.12 cm^2.
PLEASE HELP I DONT UNDERSTAND THIS QUESTION!
Answer:
I think its D, hope its right
Two sides of the triangle that form a 90 degree angle are called the
Answer:
The two sides of the triangle that are by the right angle are called the legs
Step-by-step explanation:
Answer:
Step-by-step explanation:
The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse
Easy question, Easy points LIMTED TIME. LOTS OF POINTS
Topic: Volume
Just need the answer
Answer:
Volume = PI * r^2 * height
Volume = PI * 3.5^2 * 2
Volume = PI * 12.25 * 2
Volume = 76.969020013 cubic meters
Step-by-step explanation:
Answer:
Volume = 76.969020013 m^3
Step-by-step explanation:
Which one Doesn't Belong?
3x - 4
4 less than three times
a number
I bought three boxes of cupcakes that contained some treats and
ate four of them.
what is the slope of y=-5+4x
Answer:
4x aka 4/1 meaning you rise 4 in a graph and run 1 in a positive trend.
Step-by-step explanation:
the slope for slope intercept formulas is the number with the x or the x alone if its 1.
I NEED HELP NOW!!!!!! Kelly is 6 times as old as Michael and 13 years older than Lucy. The sum of their ages is 91.
How old is each person?
Answer:
Kelly: 48
Michael: 8
Lucy: 35
Raven is making pillows. She needs 1/5 yard of fabric for each pillow. If she has 6 yards of fabric, how many pillows can she make
Answer:
30
Step-by-step explanation:
6 ÷ 1/5 = 6×5 =30
Answer:
30 Pillows
Step-by-step explanation:
If she already has 6 yards of fabric and each pillow needs 1/5 of a yard of each fabric. You just divide.
is this correct? please answer
Answer:
Yes, letter D is correct.
Step-by-step explanation:
The shape is a trapezoid so you'll have two congruent pairs of base angles.
Find the surface area of the composite solid.
Answer:
281 ft²
Step-by-step explanation:
Cuboid + lateral surface area of the pyramid - square base
2[(4×12)+(4×5)+(12×5)] + 4[½×5×(12-7)] - 5²
2(48+20+60) + 4(12.5) - 25
2(128) + 50 - 25
256 + 25
281 ft²
Answer:
[tex]281 {ft}^{2} [/tex]
A student has a one-dollar bill, a five-dollar bill, and a ten-dollar bill in a box. The student selects a bill from the box 45 times and selects the ten dash dollar bill 28 times. What formula should be used to calculate the experimental probability? What is the experimental probability of selecting the ten dash dollar bill? What is the theoretical probability of selecting the ten dash dollar bill?
Answer:
r / n
62.2%
33.3%
Step-by-step explanation:
The formula to be used is to divide the number of times that it came out by the total number of times the event was repeated because this was the experiment that was carried out, therefore this would be the experimental formula:
r / n
r = specific event (that the 10 dollar bill comes out)
n = total events
To calculate, we know the previous values r = 28 and n = 45, we replace:
28/45 = 0.622
that is, 62.2% is the experimental probability.
To calculate the theoretical propagation, we know that there are 3 types of banknotes and we want 1 of those 3 types to appear, therefore:
1/3 = 0.333
Ie 33.3% is the theoretical probability
Hector puts a principal of $5,600 in a savings account with a simple interest rate of 8%. After several years, he withdraws the balance of $11,424. How many years did he leave his investment in this particular savings account?
Simple interest: I = P · r · t
11 years
12 years
13 years
14 years
Answer:
c.) 13 years
Step-by-step explanation:
5,600*.08*13=5,824
5,824+5,600=11,424
what is the value of x
Answer:X. The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!
Factor each trinomial
y2 +13y+40
a
(y+8)(y+5)
(y+20)(y+2)
(y-8)(y-5)
(y-20)(y-2)
Y=3^x graph and table
Identify the constant of proportionality
y=2x+2
Answer:
2 is the constant of proportionality
Step-by-step explanation:
we look at the linear function y = 2x + 2
You ask for the constant of proportionality.
y related to x
y = 2 * (x + 1)
y/(x + 1) = 2
2 is the constant of proportionality
The Cruz family is buying a custom-made cover for their swimming pool, shown below. The cover costs $1.95 per square foot and Mr. And Mrs. Cruz are trying to estimate the area and determine how much the cover will cost their family. Take a stand and decide if you agree with Mr. Cruz or Mrs. Cruz being sure to defend your answer!
Answer: 7.8
Step-by-step explanation: