Answer:
Step-by-step explanation:
Area = 88 sq.cm
length * width = 88
(2x + 1)(x + 3) = 88
2x*(x +3) + 1*(x + 3) = 88
2x*x + 2x*3 + x + 3= 88
2x² + 6x + x + 3 = 88
2x² + 7x + 3 - 88 = 0
2x² + 7x - 85 = 0
2x² - 10x + 17x - 85 = 0
2x(x - 5) + 17(x - 5) =0
(x - 5)(2x + 17 )= 0
x - 5 = 0 {Ignore 2x +17 = 0 as it gives a negative value}
x = 5
b) length = 2x + 1 = 2*5 + 1 = 10 +1 = 11 cm
breadth = x+ 3 = 5 + 3 = 8 cm
Perimeter = 2*(length +breadth}
= 2* (11 + 8)
= 2 * 19
= 38 cm
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
How do you do 10 th grade math
A photo 5 inches wide and 8 inches long is enlarged. How long is the new photo if it is How wide is the new photo if it is (1)12 inches; (2)20 inches; (3)10 inchs
Answer:
1) 7.5 inches, 2) 12.5 inches, 3) 6.25 inches
Step-by-step explanation:
In the problem statement, it is stated that the original dimensions of the photo are 5 inches by 8 inches. The 3 parts of the problem are asking what the respective width of the new photo would be given a different length measurement.
Using the ratio (5:8) you can set up an equation with x representing the missing measurement, and cross multiply to calculate the new width.
1) If the length is 12 inches, the width is 7.5 inches
[tex]\frac{5}{8} = \frac{x}{12}[/tex]
[tex]60=8x[/tex]
[tex]\frac{60}{8} =x[/tex]
[tex]7.5 = x[/tex]
2) If the length is 20 inches, the width is 12.5 inches
[tex]\frac{5}{8} = \frac{x}{20}[/tex]
[tex]100=8x[/tex]
[tex]\frac{100}{8} =x[/tex]
[tex]12.5 = x[/tex]
3) If the length is 10 inches, the width is 6.25 inches
[tex]\frac{5}{8} = \frac{x}{10}[/tex]
[tex]50=8x[/tex]
[tex]\frac{50}{8} =x[/tex]
[tex]6.25 = x[/tex]
A train travels 160 miles at a constant speed for 80 minutes. What is the speed of the train in mi/min
Answer:
2mi/min
Step-by-step explanation:
Speed=Distance/Time
=160mi/80min
=2mi/min
What is the value of the function Y equals 2X plus 3 When x equals -1
Answer:
1
Step-by-step explanation:
Y=2x+3
Y=2×(-1)+3
Y=1
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
[Please, help me. I need it quickly]
If cosA+sinA=√2, then prove A=45°.
Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
What is the equation of the line that passes through the point (4,7) and has a slope
of -1/4
Answer:
See answer below.
Step-by-step explanation:
y - 7 = -1/4(x - 4)
y - 7 = -1/4(x - 4) in point slope form
In slope intercept form: y - 7 = -1/4x + 1
y = -1/4 x + 8
Alex was thinking of a number. Alex doubles it and adds 0.9 to get an answer of 21.2. Form an equation with x from the information.
Answer:
2x + 0.9 = 21.2
Step-by-step explanation:
Let x be the number
The number was doubled so it should be 2x, then add 0.9 equals to 21.2
Answer: 2x + 0.9 = 21.2
and x = 10.15
Step-by-step explanation:
Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.
Answer:
-2x^2-2x-2
Step-by-step explanation:
C) -2x(x+2)-(3-2x)(x+2)
-2x^2-3x+2x-x-2
-2x^2-2x-2
Answer:
−3x−6
Step-by-step explanation:
-2x(x+2)-(3-2x)(x+2)
= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)
= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x
= -3x-6
Hopefully this helps!!
For what value of P, the binary number 1910, represents 14?
Answer:
1110
Step-by-step explanation:
14 in binary is 1110
Solve the equation for y. Then find the value of y for each value of x.
2x - 5y = 11; x = -1,0, 1
Solve the equation for y.
y =
When x = -1, the value of y is
When x = 0, the value of y is
When x = 1, the value of y is
( For Brainly )
On which body part a temporal lobe is placed?
The square root of 81 is?
Answer:
On which body part a temporal lobe is placed?
answer-
behind the ears
The square root of 81 is?
answer-
9
PLEASE HELP IT’S DUE TMR!!
Answer:
(a) 1.0792 x 10³
(b) 3.769 x 10³
(c) 9.985 x 10³
This should be the answer to the problems, the rounding part got me confused for a second.
Significant digits are numbers after the decimal that aren't 0. So the 1.0792, the 0 isn't a significant digit.
(y=x-4
(y=-2x+5 ................................................................
Answer:
y= -1, x=3
Step-by-step explanation:
2x+y=5
x-y =4
x= 4+y
Sub 1 into 3
2( 4+y ) 4y =5
8+2y +y =5
8+3y =5
3y =5-8
3y =-3
y=-3÷3
y = -1 #
Sub y = -1 into 3 equation
x=4+(-1)
x=3 #
Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in five years?
Answer:
Tom is 43yo and Tim is 36
Tim will be 41 in 5 years.
Step-by-step explanation:
A family reunion has 184 people together at a local hotel. They travel in groups of 13 from the airport by van. How many vans will be needed to take the people to the hotel?
184 people
groups of 13
to find:How many vans needed to take the people to the hotel.
solution:[tex] \frac{184}{13} [/tex]
[tex] = 14.1538461538[/tex]
[tex]nearest \: whole \: number = 14[/tex]
therefore, they'll need 14 vans to take the people to the hotel.
answer= option B
how would I solve this??
logx^125 = -3
Step-by-step explanation:
First, this is how I read it.
[tex]\log(x^{125})=-3[/tex]
Next, this is how logarithms work:
[tex]b^y=x\implies \log_b(x)=y[/tex]
In your equation, we have all 3 numbers:
b = 10 (implied)x = [tex]x^{125}[/tex]y = -3With that information, you can convert the logarithm into "normal" form:
[tex]10^{-3}=x^{123}[/tex]
The negative power rule [tex]x^{-a}=\frac{1}{x^a}[/tex] is also useful here.
Now, just solve for x:
[tex]x^{125}=\frac{1}{10^3}\\x^{125}=\frac{1}{1000}\\x=\sqrt[125]{\frac{1}{1000}}\\x=\frac{1}{\sqrt[125]{1000} }[/tex]
That's about as simplified as it gets, unless you want this:
[tex]x=\frac{1}{10^{\frac{3}{125}}}[/tex]
Thats 10^(3/125), numbers got very small.
I'm still not confident I understood the problem correctly, so let me know if I need to fix anything.
you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse
Answer:
It is 0.6 miles
Step-by-step explanation:
Part A
Fill in the blank question.
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
Complete each statement.
There are actually __________counties.
The amount of error in Pedro's estimate is____________.
Listen to the complete question
Part B
Fill in the blank question.
What is the percent error in Pedro's estimate? Round to the nearest tenth percent.
percent error: ___________%
Answer:
254 in the first blank
Step-by-step explanation:
There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
What is Percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part.
Given that
There are 254 counties in the state of Texas. Pedro says that there are about 250 counties in the state.
There are actually 254 counties.
The amount of error in Pedro's estimate is 4.
Now we need to find percent error in Pedro's estimate.
4/254×100
=0.0157×100
=1.574%
Hence There are actually 254 counties, The amount of error in Pedro's estimate is 4 and percent error: 1.574%
To learn more on Percentage click:
#SPJ5
A lines slope is 1/10, and it’s y - intercept is 9 what is its equation in slope intercept form
Answer:
[tex]y=\frac{1}{10}x +9[/tex]
Step-by-step explanation:
y = mx + b
where m is slope (1/10)
c is y intercept (9)
Help Help Help Help Help Help
Answer:
∠ 1 = ∠ 3 = 52°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so
∠ 3 + ∠ 6 = 180° , that is
∠ 3 + 128° = 180° ( subtract 128° from both sides )
∠ 3 = 52°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 1 = 52°
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. In which attempts did he improve by more than 8
seconds from the previous attempt? Check all that apply.
120
124
110
100
90
Seconds
80
70
69
60
50
55
40
49
•40
2
4
5
6
Attempts
O A. Attempt 2
R
Attemnt 5
Answer:
Attempt 4, Attempt 6, Attempt 7
A new school will have three playgrounds. Two playgrounds will be large and one playground will be small. The district administrator had 3 5/8 truckloads of concrete delivered for each of the two large playgrounds and 1 9/10 truckloads of cement delivered for small playground. If the cost of the concrete is $2,000 per 1/2 truckload, the concrete for the three playgrounds will cost $_____.
Blank options
-18,300
-22,100
-32,600
-36,600
plz help I don't understand this at all.
Answer:
you multiple two numbers and you devide both sides you get the answer
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
It's the 2nd graph
Step-by-step explanation:
Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.
plz help!
Find the length for X
Answer:
I think it's x=3 I think that's it
I think the answer is 3 because 4÷2=2. Hence, 6÷2=3
I'm confused on if it's 3 or 2
Answer:
it's 3 cause if u do 1 2 3 there are 3 hearts and they are broke up in half so 6
what is the slope of the line
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south.
Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.
Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.
- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?
- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?
- How far is Little Cubs Field from the radius of delivery?
The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) milesReasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
Learn more here:
https://brainly.com/question/23005973
A sum of Rs. 18750 is left by will by a father to be divided between two sons, 12 and 14 years of age. so that when they attain maturity at 18, the amount received by each of them at 5 percent simple interest will be the same. Find the sum allotted at present to each son?
A) Rs. 9500, Rs. 9250
B) Rs. 8000, Rs. 1750
C) Rs. 9000, Rs. 9750
D) R.s 10000, Rs. 9750
Answer:
C) Rs. 9000, Rs. 9750Step-by-step explanation:
Let the sum allotted is x and 18750 - x.
Interest rate is 5%.
The interest amount is:
(18 - 12)*5% = 30% and(18 - 14)*5% = 20%We have equation below to compare final amounts:
x + 30% = (18750 - x) + 20%1.3x = 1.2(18750 - x)1.3x = 22500 - 1.2x1.3x + 1.2x = 225002.5x = 22500x = 22500/2.5x = 9000Correct choice is C