Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
Dracula's bill at the restaurant was $54.83. He left a tip of 15%.
What was the tip amount (nearest hundredth)?
PLEASE ANSWER QUICK :,(
15% as a decimal is 0.15
Multiply the amount of the bill by the percentage:
54.83 x 0.15 = 8.22
The tip was $8.22
Answer:
[tex]\huge\boxed{ \$ \ 8.22}[/tex]
Step-by-step explanation:
Bill = $54.83
Tip = 15 % of 54.83
[% means out of 100, "of" means to "multiply"]
Tip:
= 15% of 54.83
= 15 / 100 * 54.83
= 0.15 * 54.83
= $ 8.22
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH18072.What is the slope-intercept form of a line that contains the points (5, - 5) and has a slope of -3?
3. Write an equation of a line that is parallel to y = - 5/2 x + 3 but travels through the origin? (Note: Parallel lines have the same slope.)
Answer:
2. y - (-5) = -3 (x - 5)
3. y = -5/2
Step-by-step explanation:
Point intercept form: y - y₁ = m (x - x₁)
Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.
2. The points are (5, -5) and the slope is -3. Plug this into y - y₁ = m (x - x₁) to get
y - (-5) = -3 (x - 5)
3. As stated, parallel lines have the same slope, so the slope of the line would be -5/2. The origin is (0, 0), so plug these two numbers in.
y - y₁ = m (x - x₁)
y - 0 = -5/2 (x - 0)
y = -5/2
Data was collected on the price of a hot dog and a drink at twenty different baseball stadiums. It was found that when
the price of a hotdog was low, the price of a drink was low and that when the price of a hotdog was high, the price of
a drink was high
Which statements are correct?
Answer: the price of a hot dog was low and the drink was low
Step-by-step explanation:hope this helps
In OPQ the measure of Q=90 O=76 and OP=7.3 feet find the length of PQ to the nearest tenth.
Answer: sinO=
hypotenuse
opposite
=
7.3
x
sin
76
=
x
7.3
sin76=
7.3
x
7.3
sin
76
=
x
7.3sin76=x
x
=
7.0832
≈
7.1
feet
x=7.0832≈ 7.1 feet
Step-by-step explanation:
Answer:
the correct answer is 7.1
Step-by-step explanation:
Find the Area:
16 m
.
12 m
3.14 x 8^2 = 200.96 (divided by) 2 = 100.48
1/2 (8 x 12) = 48 x 2 = 96
100.48 + 96 = 196.48
A = 196.48
What is the principal square root of /25?
5
25
50
125
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What is 2.56 divided by 1/4
Answer: 10.24
Step-by-step explanation:
2.56/1/4 is the same as 2.56*4/1 or 2.56*4= 10.24
Find the value of x in the isosceles triangle shown below.
V74
V74
Answer:
C. x = 10
Step-by-step explanation:
By Pythagoras Theorem:
[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]
Answer:
C. x = 10Step-by-step explanation:
Use Pythagorean theorem.
(x/2)² = (√74)² - 7²(x/2)² = 25x/2 = √25x/2 = 5x = 10Correct choice is C
Someone pls help im new to this so tysm if you do help:D
Answer:
-6
Step-by-step explanation:
What is the solution 5y + 1 =31
Is 1/28 = 16 1/2? I’m just using extra word because it making me type more but please answer ASAP
Answer:
NO IT IS NOT
Step-by-step explanation:
16 1/2 = 16.5 1/28 = 0.0357
NOT THE SAME!!!!!
Please mark brainiest if this is helpful! :D
Step-by-step explanation:
[tex] \frac{1}{28} = 16 \frac{1}{2} \\ \frac{1}{28} = \frac{33}{2} \\ \\ not \: the \: same[/tex]
5 – x = 23 yea wth is this lol
Answer:
x=-18
Step-by-step explanation:
Answer:
x = -18
Step-by-step explanation:
5 - x = 23
5 - 5 - x = 23 - 5
-x = 18
-1x / -1 = 18 / -1
x = -18
Hope this helps and stay safe, healthy, and happy, thank you :) !!
A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?
The expression representing the cost should be 2.50 (5 x).
The expression representing the cost should be 2.50 (x + 5 x).
The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.
The inequality symbol should be Less-than-or-equal-to instead of > since less than or equal to $90 may be spent.
Answer:
The inequality sign is not correct because the > symbol means greater than. However, up to and including $90 can be spent so the inequality sign should be ≥ (greater than or equal to).
The best description of the error in the student's inequality is; The inequality symbol should be Greater-than-or-equal-to instead of > since up to and including $90 may be spent.
What is the representation of the inequality?We are told that;
Amount for the class to spend = $90
Cost of field trip = $2.5 per person
Number of persons on the trip = 5 persons
Inequality used by a student is;
90 > 2.5(x + 5)
The inequality sign used above is not correct because the they have $90 to spend and so the inequality sign should be ≥ (greater than or equal to).
Read more about Inequality at; https://brainly.com/question/25275758
Jordan baked 4 apple pies. She wants to share them equally among 3 of her neighbors. What fractional part of the pies will each neighbor get?
A. 3/7
B. 3/4
C. 1 1/3
D. 2 1/3
Answer:
C.
Step-by-step explanation:
1 1/3 as an improper fraction is 4/3.
Please make me the brainliest
Saul paid off a loan with a simple interest rate of 4.7% in 9 months. What was the APR?
6.4%
8.5%
3.5%
6.3%
4.7%
Using proportions, it is found that the APR was of 6.3%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 4.7% was paid in interest in 9 months. The APR is the amount that would be paid in a year, that is, 12 months.
Hence, the rule of three is:
9 months - 4.7%
12 months - x%
Applying cross multiplication:
[tex]9x = 12(4.7)[/tex]
[tex]x = \frac{12 \times 4.7}{9}[/tex]
[tex]x = 6.3[/tex]
The APR was of 6.3%.
More can be learned about proportions at https://brainly.com/question/24372153
What is the total area of the desk in square feet?
Answer:
64ft
Step-by-step explanation:
The polygons to the right are similar. Find the value of each variable. (Simply your answers.)
x = ___
y = ___
Answer:
x=15
y=8
if the triangles are proportional, then the smaller triangle is half the size of the large triangle
Which set of ordered pairs represents y as a function of x?
Answer:
B. O{ (0, 0), (1, 1). (2, 4). (3, 9). (3, 16)}
D {(0, 0). (-1, -0.5), (-2,-1), (-3, -1.5), (-4, -2)}I think
1. Write a story problem that includes both integers −8 and 12.
Answer: Pam has -8 dollars in her piggy bank she owns mark 12 dollars
Step-by-step explanation:
Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).
Answer: 3.4
Step-by-step explanation:
7.2 - 3.8
The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
What is the trigonometry function?
Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.
It means that the relationship between the angles and sides of a triangle are given by these trig functions.
Here given that,
In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].
So,
[tex]7.2 - 3.8=3.4[/tex]
So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].
To know more about the trigonometric function
https://brainly.com/question/29199591
#SPJ2
James studied for his test. He started studying at 3:20 p.m. and studied for 2 hours
and 15 minutes. What time did he finish studying? (SHOW WORK PLS BEST ANSWER WITH BEST EXPLANATION GETS THANKS AND BRAINLIEST!!)
Answer:
James finished studying at 5:35pm
Step-by-step explanation:
3:20+2:15=3:35
20+15=35
3+2=5
What does S in Math means?
Step-by-step explanation:
subtract
i think this
Help pls (8grade math)
Answer:
It's D. (1,-2)
Step-by-step explanation:
Answer:
The answer is B: (-1, 2)
Step-by-step explanation:
Imagine a mirror is placed along the y-axis.
Since a reflection is applied, the mirror coordinates would be the opposite of the original coordinates, just like a mirror is opposite of what you see when you look into it.
Original coordinates: (1, 2)
Mirror coordinates: (-1, 2)
Josh and Bradley each bought a carton of milk. Their cartons were the same except that Bradley's carton was taller than Josh's. Each boy drank 1/4 of his milk carton. Did the each drink the same amount of milk? Explain.
Answer:
No
Because Bradley's carton is taller than Josh's, Bradley would drink more milk.
Let us assume that Bradley carton has 100 quarts . If he drank 1/4, he would drink 25 quarts of milk. If Josh carton is 80 quarts full of milk, he would drink 20 quarts of milk. this example shows that they would not drink the same amount of milk
Step-by-step explanation:
A taller carton would contain more ounces of milk.
You have a roll of 100 feet of tubing and you need to cut 8 ½ foot lengths for IV pumps. How many 8 ½ foot lengths will you get? Will there be any tubing left over? If so, how much?
Answer: 11, 6.5 ft
Step-by-step explanation:
Given
The length of the roll is [tex]100\ ft[/tex]
The length required for a pump is [tex]8\ \frac{1}{2}\ ft=\frac{17}{2}\ ft[/tex]
No of pumps(n) we get
[tex]\Rightarrow \dfrac{100}{\frac{17}{2}}=11.76\ \approx 11[/tex]
length for 11 pumps
[tex]\Rightarrow 11\times \frac{17}{2}=93.5\ ft[/tex]
The remaining length of the tube is
[tex]\Rightarrow 100-93.5=6.5\ ft[/tex]
One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.
An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.
Use the distributive property to write an expression that is equivalent to the expression below. -2 (-6x + 3y - 1)
Answer:
1 2 − 6 + 2
Step-by-step explanation:
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
A: 19.63ft
B: 31.42ft
C: 15.7ft
D:7.85ft
Answer:
C
Step-by-step explanation:
using the formula for circumference of a circle.
2πr is the formula.
closest answer is 15.7 ft
8
Martiza is measuring the effect a fertilizer on a field of soybeans has on the local butterfly population.
Based on her data collection, the population of butterflies in the field can be modeled by the function P(d) = 250(0.89)" where d is the number of days the
fertilizer has been applied.
Which statement best describes how the population of butterflies is changing?
>
It is increasing by 89% for each application.
B It is decreasing by 89% for each application
It is increasing by 11% for each application.
It is decreasing by 11% for each application
O 09:10
It is increasing by 11% for each application.
If 9 10 is multiplied by 8 9 , will the product be greater than either of the two factors? Use the drop-down menus to explain. The product Choose... be greater than either of the two factors. When multiplying a fraction by a fraction, the product is Choose... than the lesser factor.
Answer:
No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.
Step-by-step explanation: