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.
Mila buys a two liter soda bottle. She accidentally drops the soda bottle and spills 287 milliliters of soda. How much soda is left?
Answer:
1713 milliliters
Step-by-step explanation:
1 liter is 1000 milliliters, so 2 liters is equal to 2000 milliliters.
2000 mL - 287 mL = 1713 mL
So 1713 mL are left.
What is the area of the obtuse triangle?
Answer:
C
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 14 and h = 8 , then
A = [tex]\frac{1}{2}[/tex] × 14 × 8 = 7 × 8 = 56 in² → C
Is there a linear relationship between the radius and the volume of these cylinders?
Cylinder one: 28in^3 with a radius of 1 and height of 9
Cylinder two: 113in^3 with a radius of 2 and height of 9
Cylinder three: 254in^3 with a radius of 3 and height of 9
yesStep-by-step explanation:
Write an equivalent expression for b + b + b + r
Answer:
b3+r
Step-by-step explanation:
Answer:
3b + r
Step-by-step explanation:
Combine like terms to simplify this expression. Note that b + b + b = 3b.
Thus, the given b + b + b + r condenses to 3b + r.
Hailey solves the equation shown.
1/4(2 – x) = 5+ 3x
In which step does Hailey make her first error?
Step 1: 1/2 - x = 5+ 3x
Step 2: 1/2 = 5 + 4x
Step 3: – 9/2 = 4x
Step 4: -9/8=x
hii please help i’ll give brainliest!!
Answer:
It is Acceleration have a good day!
Answer:
Resistance
Step-by-step explanation:
Its D Because all the other ones aren't as close and to D aka Resistance
What is an equation of the line that passes through the points (-8, 4) and (-8, 8)?
Answer:
x = -8
Step-by-step explanation:
The line is a vertical line with x-intercept of -8
a rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4 unit. How many 1/4 unit cubes does it take to fill the prism? ANSWER ASAP
Answer:
192
Step-by-step explanation:
at 1/4 unit length, each side of one cubic unit would be 4.
so each cubic unit would consist of 4x4x4 = 64 of the 1/4 cubic units.
64 x 3 = 192
Answer:
your answer will be 192
Step-by-step explanation:
hope it helps
Before work, Penny spends 1/2 hour getting showered/dressed, 1/4 hour eating breakfast, and 1/12 hour making lunch. What fraction of an hour does she spend doing these activities?
Answer:
30 minutes getting showered/ dressed
15 minutes eating
5 minutes making lunch
Step-by-step explanation:
what is the gcf (greatest common factor) of 9/45
Answer:
9: 1,3,9
45: 1, 3, 5, 9, 15, and 45
Step-by-step explanation:
So the gcf is 9
Answer:
9GCF of 9 and 45 is 9Step-by-step explanation:
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
We can find the GCF of 9 and 45 by the following methods.
GCF of 9 and 45 by Listing the Common Factors Method
GCF of 9 and 45 by Prime Factorization Method
Solve for x: 5x = 2/7
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
1, 3, 5, ...
Answer:
it is an arithmetic sequence, common difference is 2
What integer makes this equation true? -2 + X = 10
Answer:
12 I think
Step-by-step explanation:
hope this helps
Answer:
the answer is 12
Step-by-step explanation:
your welcome
if x= 0, 2,-2 find the value of x3-1 help plz
when x =0
[tex]0 {}^{3} - 1 = 0 - 1 = - 1[/tex]
When x =2
[tex]2 {}^{3} - 1 = 8 - 1 = 7[/tex]
when x =-2
[tex]( - 2) {}^{3} - 1 = - 8 - 1 = - 9[/tex]
I need hel asap. PLEASE I WILL GIVE BRANLIEST
Answer:
x=12
Step-by-step explanation:
30/25=x/10
x=30×10/25
x=12
URGENT:
M is the Centriod of DEF
Answer:
A
Step-by-step explanation:
2/3 the way so you would do 6 plus 3, because 3 is half of 6
Find the greatest common factor of 14 and 28
Help plz!!!!!!! Help plzzzz!!!!!!
Multiplying special cases of polynomials
1. (x + 5)(x − 5)
a) x2-2x−25
b) x2−25
c) x2+2x−25
2. (n − 1)(n + 1)
a) n2 − 2n -1
b) n2 − 1
c) n2 − 2n +1
3) (p − 1)2
a) p2 − 2p +1
b) p2 − 2p -1
c) p2 + 2p +1
4. (x − 4)2
a) x2 − 8x -16
b) x2 − 16
c) x2 − 8x +16
5. (n + 3)2
a) n2 + 6 n - 9
b) n2 - 6 n + 9
c) n2 + 6 n + 9
6.-(2 + v)2
a) 4 + 4v + v2
b) v2 + 4v +4
c) v2 + 4
Answer:
1) b) x2−25
2) b) n2 − 1
3) a) p2 − 2p +1
4) c) x2 − 8x +16
5) c) n2 + 6 n + 9
6) b) v2 + 4v +4
Step-by-step explanation:
1. (x + 5)(x − 5) = x^2 - 25
2. (n − 1)(n + 1) = n^2 - 1
3) (p − 1)^2 = p^2 - 2p + 1
4. (x − 4)^2 = x^2 -8x + 16
5. (n + 3)^2 = n^2 + 6n + 9
6. (2 + v)^2 = v^2 + 4v + 4
find 5 rational numbers between 3/5 and 2/3
This is the required answer <3
A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?
Answer:
$17.00
Step-by-step explanation:
10 x 1.70 = $17.00
Answer:
The retail price is $17.00
Step-by-step explanation:
Find the missing side lengths. All answers should be in fully simplified form.
a=?
b?
Answer:
a=8 b=6
Step-by-step explanation:
Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100
so a^2+b^2=100
8^2+6^2=100
64+36=100 ✔
and since A is longer than B, a=8, b=6
Answer: a= [tex]5\sqrt{3}[/tex] b= 5
Step-by-step explanation:
sin 60=a/10
[tex]\frac{\sqrt{3} }{2}[/tex]=a/10
[tex]10\frac{\sqrt{3} }{2} =a[/tex]
[tex]5\sqrt{3}=a[/tex]
cos 60=b/10
.5=b/10
5=b
The sculpture consists of four identical prisms. Jane says the surface area of the sculpture is 4 times the surface area of one prism. Which statement about jane's method is true?
Options:
A.) Jane should multiply volumes, not areas.
B.) Jane should also subtract the areas of six hidden surfaces.
C.) Jane should also add the areas of six hidden surfaces.
D.) Jane is correct.
Answer:
B.) Jane should also subtract the areas of six hidden surfaces.
Step-by-step explanation:
When three-dimensional solids are joined together to form a solid, some surfaces will be visible while others won't.
When calculating the surface areas of such shapes, we only consider the visible parts (i.e. the areas of the hidden parts will be subtracted from the total areas of the individual shapes).
Since the sculpture is not attached to this question, we can assume that there are 6 hidden surfaces (as suggested by the options). The areas of these 6 hidden surfaces must be subtracted to get the actual surface area.
Answer:
Jane should also subtract the areas of six hidden surfaces.
Step-by-step explanation:
I just did it on Imagine Math
round to nearest hundredth :3,353
Answer:
3,000
Step-by-step explanation:
Since the next number is less than 5 you round down
A ladder is 51 inches tall. How tall is it in feet and inches?
Answer:
4 feet and 3 inches
Step-by-step explanation:
The measure of ladder in feet is 4.15.
Given that, a ladder is 51 inches tall.
Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.
We know that, 1 feet = 12 inches
So, in inches = 51/12
= 4.25 feet
Therefore, the measure of ladder in feet is 4.15.
To learn more about the metric conversion visit:
brainly.com/question/21244256.
#SPJ6
Does anyone know? Thank you!
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
Pls I need help ASAP
What is 2.5 - 1.4
Answer:
1.1
Step-by-step explanation:
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
Toby had a package of markers.
After he used 4 of the markers, there were 10 markers left in the package.
Which equation can be used to find the number of markers that were in the package before Toby used the markers?
each set of points are connected to form a line segment. What is the length of each?
A = (3, 5 ) and B = ( 3, 6 )
ty to anyone who helps!! :)
