Answer:
4 m = width of the rectangle.
6 m = length of the rectangle
20 m = perimeter of rectangle
3 m = side of the square
Step-by-step explanation:
Let s = length of side of square
s + 1 = width of rectangle
s + 3 = length of rectangle
Area of rectangle = (s + 1)(s + 3)
Area of square = [tex]s^{2}[/tex]
So, (s + 1)(s + 3) + [tex]s^{2}[/tex] = 33
[tex]s^{2}[/tex] + 4s + 3 + [tex]s^{2}[/tex] = 33
2[tex]s^{2}[/tex] + 4s - 30 = 0
2([tex]s^{2}[/tex] + 2s - 15) = 0
2(s + 5)(s - 3) = 0
s = -5 or s = 3
Length of a side cannot be negative, so -5 is ignored
3 m = side of the square
4 m = width of the rectangle
6 m = length of the rectangle
2(4) + 2(6) = 8 + 12 = 20 m = perimeter of rectangle
Find the percent change. 150 pounds to 135 pounds.
Answer:
-10%
Step-by-step explanation:
precent change = 135 - 150
(divide both sides by 150)
precent change = -0.1
(multiply both sides by 100 so change to precent)
precent change = -10%
Answer:
10%
Step-by-step explanation:
Dale runs 10 miles in 75 minutes. At the same rate, how many miles would he run in 69 minutes?
Answer: 9.2 miles
Step-by-step explanation:
Answer: 9.2 miles
Step-by-step explanation: hope this helps you!
A savings account increases from $300 to $309. What is the percent increase of the savings account?
Answer:
9 percent
Step-by-step explanation:
Answer:
3%
Step-by-step explanation:
1st Method: Increase Formula = (Last value-first value)/(first value)
Increase = (309-300)/300 = 9/300 = 3/100
= 0.03 or 3%
2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%
Please help!!!!!!!!!!! Will give brainlist
Answer:
0.2
Step-by-step explanation:
When you have a decimal problem you add a 0 before the number. But if its a fraction ike 4 5/8 the decimal would be 4.58.
Billy is 80 feet from the base of a building. The angle of elevation to the top of the building is 35 degrees. If the distance from Billy's eyes to the ground is 5 feet, how tall is the building?
Answer:
61 ft
Step-by-step explanation:
The detailed step by step solution has been attached in pen and paper format. Feel free to ask any doubt.
Maggie uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
2.76 pints
Step-by-step explanation:
Given that:
Tottal amount of paint used = 6.9 pints
The faction of white paint used = 3/5
Hence, Amount of white Paint used :
3/5 * 6.9 = (3 * 6.9) / 5 = 4.14 pints of white paint.
Pints of blue paints used :
Total pints - pints of white used
6.9 - 4.14 = 2.76 pints of blue paint
3. Is this data linear or nonlinear? Explain how you know.*
Answer:
Non-linear
Step-by-step explanation:
Not consistently increasing
Catherine put $5500 into a savings account that earns 4% compound
interest monthly. After six months, how much money will she have total?
ayudaaaa por favor es urgente
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
If f(x)=2x−3 and g(x)=4x+5, what is (f⋅g)(x)?
A)(f⋅g)(x)=8x−15
B)(f⋅g)(x)=6x+2
C)(f⋅g)(x)=8x2+22x−15
D)(f⋅g)(x)=8x2−2x−15
9514 1404 393
Answer:
D) (f⋅g)(x)=8x2−2x−15
Step-by-step explanation:
(f·g)(x) = f(x)·g(x) = (2x -3)(4x +5) = 2x(4x +5) -3(4x +5)
= 8x² +10x -12x -15
(f·g)(x) = 8x² -2x -15
given the expression -x^2-6x+7,when expressed in form a(x+h)^2+k, the value of k is?
Answer: k = 16
Step-by-step explanation:
The equation is written in the form:
y = ax^2 + bx + c
y = -x^2 - 6x + 7
y = a(x - h)^2 + k where (h, k) is the vertex
a = -1 (from the original equation)
h = -b/2a (this is the equation for the line of symmetry or the x-value of the vertex)
h = -(-6)/2(-1) = 6/-2 = -3
when x = -3, y = ?
y = -(-3)^2 - 6(-3) + 7
y = -(9) + 18 + 7
y = -9 + 18 + 7
y = 16
(-3, 16) is the vertex
Since k is the y-value of the vertex, k = 16
I'll just take it a step further and write the whole equation:
Substitute all the values we found
-1(x +3)^2 + 16
-(x + 3)^2 + 16
A rational function g is given below. Find all values of a for which g(a)=16. g(x)=(4)/(x+1)+(20)/(x^(2)+2x+1)
Answer:
a = 2/3
Step-by-step explanation:
(4(x+1) + 20 )/(x+1) = 16
4x + 4 + 20 = 16x + 16
12x = 8
x = 2/3
Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds?
Step-by-step explanation: The price of3.8 pounds of almonds=$39.90 thus we can write Hence the price of almonds is $10.50 per pounds.
AWNSERS:$10.50
Answer:
Step-by-step explanation: 39.90 x 3.8 = 151.62
1) d=rt
d = distance traveled by a moving object
r = rate of speed
time the object travels
t = time the object travels
Your first stop is in Bend, which is 122 miles away. How
fast do you need to travel in order to make it there in 3
hours?
Answer:
41 mph
Step-by-step explanation:
122 = 3r
r = 40 2/3 mph
The height of a right cone is 3 inches shorter than the radius. What is the height of the cone if the volume is 17 cubic inches?
a. 3.454 inches
b. 4.01 inches
c. 7.01 inches
d. 1.01 inches
Answer:
1.03 inches
Step-by-step explanation:
Volume of a come = 1/3πr²h
If the height of a right cone is 3 inches shorter than the radius, then;
h = r - 3
Substitute
V = 1/3πr²(r-3)
Given that V = 17in^3
17 = 1/3πr²(r-3)
17*3 = 3.14r²(r-3)
51/3.14 = r²(r-3)
16.242 = r²(r-3)
r² = 16.242
r = √16.242
r = 4.03
Since h = r - 3
h = 4.03 - 3
h = 1.03 inches
hence the height is 1.03 inches
The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of the other two sides.
Answer:
your answers will be 3 and 6
Step-by-step explanation:
have a nice day !!^_^
i need help please i really don’t get it
Answer: no se ve bien
Step-by-step explanation:
mucha ilumnacion
Mr. Locke was paid $190 for a job that required 40 hours of work. At this rate, how much would he get paid for a job that requires 60 hours of work?
Which city had the highest temperature?
Which city had the lowest temperature?
Which city had a temperature greater than Oakland?
What was the difference in temperature between Detroit and Oakland?
degrees Celsius.
If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
a ratio of 10 to 2 is the same as A 8/2 B 8/10 C 12/8 D 5/1
Answer:
D. 5/1
Step-by-step explanation:
10/2 = 5
5/1 = 5
I hope this helps :)
The original perimeter of a rectangle is 30cm, if we enlarge it by a scale factor of 4
what is the new perimeter?
120
1920
480
What is the simplified version of
6(m - 2m) - (4m - 5m) ?
Answer:
-5m
Step-by-step explanation:
6m-12m-4m+5m
-6m+1m
=-5m
Milan raises dairy cow he has 165cows.Each cow produced2 gallons of milk every day.How many gallons did the cows produce per day,show solution using grid method
Answer:
Cows produce milk per day = 330 gallons
Step-by-step explanation:
Given - Milan raises dairy cow he has 165 cows. Each cow produced
2 gallons of milk every day.
To find - How many gallons did the cows produce per day ?
Show solution using grid method.
Proof -
Given that,
Total cows Milan raises = 165
Now,
Given,
1 cow produce milk = 2 gallon
⇒ 165 cows produce milk = 165 × 2 gallons
Now,
By using grid method , we have
165 × 2
X 100 60 5
2 200 120 10
⇒ 165 × 2 = 200 + 120 + 10 = 330 gallons
∴ we get
Cows produce milk per day = 330 gallons
HELP ASAP.!!!!!!! Jahlil is saving money at a constant rate to buy a new TV. After saving for $3$ months, Jahlil has $\$330$ . After saving for $5$ months, Jahlil has $\$510$ . Construct a function that models the relationship between the amount of money Jahlil has saved and the number of months he has saved for. Show or explain how you constructed the function. Respond in the space provided.
Answer:
y=90x+60
Step-by-step explanation:
x=months
y=dollars
Find dollars/month by finding the slope.
(3, 330), (5, 510)
-> (510-330)/(5-3) -> 90
Since its a constant rate, the function will be in the form, y=mx+b, and since we found the slope we can plug m=90.
y=90x+b
To find be, we simply substitute one of the points.
330=90(3)+b
b=60
Thus, plugging it in,
y=90x+60
ANSWER THIS ASAP I ONLY HAVE 12 MINUTES!!! What inequality is represented by this graph?
Answer: B, is the answer
Step-by-step explanation:
The way that the line goes from 6 is represented by the equation
Answer:
x less than 6
Step-by-step explanation:
the line is going down from six and six isnt filled in so it couldnt be equal to 6
A BUSHEL OF APPLES WEIGHS ABOUT 42 POUNDS. THERE ARE 4 PECKS OF BUSHELS. IT TAKES 2 POUNDS OF APPLES TO MAKE ONE PIE. HOW MANY PIES CAN YOU MAKE WITH ONE PECK OF APPLES?
Answer:
84 pies
Step-by-step explanation:
if you multiply 42 pounds by4 pecks. You get 168 pounds. and then you divide that by 2 and you can make 84 pies
Which expression is equivalent to 46 - 2x)?
A) 24-8x
B) 24-6x
C) 10-8x
D) 10-6x
Answer:
24-8x
Step-by-step explanation:
Answer:jghgghfgfhgfhghfj
Step-by-step explanation:
If ∠2 and ∠3 are complementary angles and m∠2 = 24°, find m∠3.
Answer:
sorry dont know
Step-by-step explanation:
Answer:
yessadadasdadada
Step-by-step explanation:
It’s due tonight help please
Answer:
:)
Step-by-step explanation:
A) 4,4
B) 2,2
C) 4,3
Hope this helps