Answer:
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
Step-by-step explanation:
Let the width of the rectangular lot be x meters.
So, Length of the same = 2x metres.
[tex]A(rectangular \:lot) = (2x)(x)[/tex]
[tex]\implies A(rectangular \:lot) = 2x^2[/tex]
When length is increasEd by 40 m and width by 6 m. Then....
New length = [tex](2x + 40) \:m[/tex]
New width =[tex](x + 6) \:m[/tex]
According to the question:
[tex](2x + 40)(x + 6) = 2(2x^2)[/tex]
[tex]\implies 2x(x + 6) + 40(x + 6) - 4x^2=0[/tex]
[tex]\implies 2x^2+12x + 40x + 240 - 4x^2=0[/tex]
[tex]\implies 2x^2- 4x^2+12x + 40x + 240 =0[/tex]
[tex]\implies -2x^2+52x + 240 =0[/tex]
[tex]\implies 2(x^2-26x - 120) =0[/tex]
[tex]\implies x^2-26x - 120=0[/tex]
[tex]\implies x^2-30x+4x - 120=0[/tex]
[tex]\implies x(x-30)+4(x - 30)=0[/tex]
[tex]\implies (x-30)(x+4)=0[/tex]
[tex]\implies x-30=0,\: x+4=0[/tex]
[tex]\implies x=30,\: x=-4[/tex]
Since, x represents the side length, so its value can't be negative.
[tex]\implies x=30[/tex]
[tex]\implies 2x=2(30)=60[/tex]
Thus,
Length of the rectangular lot = 60 meters
Width of the rectangular lot = 30 meters
what is -1⅔×5¾?????
Answer:
The correct answer would be -9 7/12
You have to multiply the numbers together.
Whats is the area of the figure? in squares inches
To make 5 pizzas, 1/2 cup of flour is used a. How much flour is needed to make one pizza? b.. How many cups of flour are needed to make 1 dozen pizzas? (1 dozen - 12) c. How many pizzas can you make with 5 2/3 cups of flour?
Answer:
for a single pizza 1/10 a cup
for 12 pizzas 1 1/5 a cup
you can make 56 pizzas with 5 2/3 cups.
Step-by-step explanation:
for 5 pizzas you need 1/2 cup of flour, so to find out how much you'll need for a single pizza you'll need to divide it with 5. 1/2÷5=1/10
for a dozen pizzas you'll need to multiply that with 12. 1/10x12=12/10=1 1/5
Then to find out how many can we make with 5 2/3 cups we'll divide it with that 1/10
56/10÷1/10= 56 pizzas
HElP!!!!!!!plss I don’t know if I’m right or wrong
What is the area of the shaded sector?
O 24 TT
O 45TT
O 72TT
O 576TT
c:72tt
[tex]\textit{area of a sector of a circle}\\ A=\cfrac{\pi \theta r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =45 \end{cases}\implies A=\cfrac{\pi (45)(24)^2}{360}\implies A=72\pi[/tex]
Help help help math math
Answer:
(2,7)
Step-by-step explanation:
P(x) = 5x3 − 28x2 + 15x − 200, c = 11
P(11)=?
Answer:
I do not know
Step-by-step explanation:
so I don't know anything abt math mostly thank you
What is the equation for the line that passes through the points (4, 2) and (0, 6) ?
Volume with Fractional Length - Quiz. Level F
If the box holds 24 of these sugar cubes, what is
the total volume of the box?
24 in
12 in
6 in
3 in
If g(b) = 7b+8, what is g(-3)? Α. -29 B. -13 C. 13 D. 29
Givᥱᥒ ,
[tex]\bold\purple{g(b) = 7b + 8}[/tex]
To fiᥒd ,
[tex]\bold\purple{g( - 3) = ?}[/tex]
Hᥱɾᥱ ,
Wᥱ ʝᥙ⳽t ᥒᥱᥱᑯ to ⳽ᥙᑲ⳽titᥙᥱ tᖾᥱ ʋᥲꙆᥙᥱ " ᑲ = -3 " iᥒ tᖾᥱ ᥱϙᥙᥲtioᥒ ɠiʋᥱᥒ ᥲᑲoʋᥱ.
Tᖾᥱɾᥱƒoɾᥱ ,
[tex]\bold\blue{g( - 3) = 7( - 3) + 8 } \\ \\ \bold\blue{ ⇝ - 21 + 8} \\ \\ \fbox\pink{ ⇝ - 13}[/tex]
hope helpful ~
1. Find the area of the figure below..
19 ft
6 ft
Answer:
25
Step-by-step explanation:
just add it together
Can someone help me with this real quick!
Answer:
519.50
Step-by-step explanation:
A = P [tex](1 + r)^{n}[/tex]
A = 300[tex](1 + .04)^{14}[/tex]
A = 300(1.7316764476)
A = 519.502934281
A = 519.50
4,5,6,6,7,7,8,8,8,8,8,9,9
What is the mean and range of the number sequence?
Answer:
The mean is 7 and the range is 5
Step-by-step explanation:
To find the mean, just add up the scores and divide the total by the number of scores.
To find the range, subtract the lowest value from the highest value.
There are 18 students in the math club.
Of the 18 students, 1/6 have red hair. How many of the students have red hair?
Part b: of the 18 students, 4/6 have brown hair. How many of the students have brown hair?
Part c:
What is the relationship do you notice between the number of students with brown hair and the number of students with red hair?
a:1/6×18/1=18/6 when simplified is 3
b:4/6×18/1=72/6 when simplified is 12
c.The relationship between the number of students with brown hair and the number of students with red hair is that they are equivalent to one another.
What is the measure of the unknown angle? n 120°
On the following number line, the approximate locations of five real numbers are graphed.
Choose the correct location of each number on the number line.
Answer:
C
A
E
D
B
Step-by-step explanation:
C(n)=1/500 n^2-n +200 where is n is the number. does the cost have a minimum or maximum value explain
Answer:
minimum
Step-by-step explanation:
The sign of the leading coefficient of a quadratic tells you whether its graph opens upward or downward. Here, the sign of 1/500 is positive, so the graph opens upward. The function will have a minimum.
_____
Additional comment
For even-degree polynomials (quadratic = degree 2), the general shape of the curve will be ∪ or ∩. The latter will result from a negative leading coefficient.
For odd-degree polynomials, the general shape of the curve will be / or \. Again, the latter results from a negative leading coefficient.
These facts can help you identify the end-behavior of a polynomial function.
pls answer is right on my math
Step-by-step explanation:
1. parallel 2. perpendicular 3. interescting
4. parallel 5. perpendicular
IV. 1/2 = 2/4 1/3 = 2/6 2/6 = 4/12
1/2 = 4/8 1/3 = 4/12 2/6 = 1/3
can you please mark my answer brainliest
It is commonly believed that the mean body temperature of a healthy adult is 98.6 ∘ F 98.6∘F . You are not entirely convinced. You believe that it is not 98.6 ∘ F 98.6∘F . You collected data using 36 healthy people and found that they had a mean body temperature of 98.23 ∘ F 98.23∘F with a standard deviation of 1.05 ∘ F 1.05∘F . Use a 0.05 significance level to test the claim that the mean body temperature of a healthy adult is not 98.6 ∘ F 98.6∘F . a) Identify the null and alternative hypotheses? H 0 H0 : μ = H 1 H1 : μ < b) What type of hypothesis test should you conduct (left-, right-, or two-tailed)? left-tailed right-tailed two-tailed c) Identify the appropriate significance level. d) Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal places. e) Calculate your p-value. Write the result below, and be sure to round your final answer to four decimal places. f) Do you reject the null hypothesis? We reject the null hypothesis, since the p-value is less than the significance level. We reject the null hypothesis, since the p-value is not less than the significance level. We fail to reject the null hypothesis, since the p-value is less than the significance level. We fail to reject the null hypothesis, since the p-value is not less than the significance le
Answer:
Please review each attachment for a detailed explanation
What would be the slope of a line that is PARALLEL to the following?
y=-4x +11
If your answer is a fraction please enter it as a decimal.
Parallel Slope =
(Someone please help me I don’t understand this helpppp)
Answer:
The slope would be -4
Step-by-step explanation:
Since the two lines are parallel, the slopes would have to be the same because the lines can't intersect. In an equation of a line, the number before the "x" is always the slope.
Answer:
The slope of a line that is parallel to y=-4x+11 is m2=-4
Step-by-step explanation:
Parallel lines
The equation of a line of slope m and y-intercept b can be expressed as:
y=mx+b
The equation of the given line is
y=-4x+11
Which means its slope is m1=-4
Two parallel lines are defined to have the same slope. If m2 is the slope of a parallel line, then:
m2=m1=-4
Then, the slope of a line that is parallel to y=-4x+11 is m2=-4
If you spend $55 for transportation and clear $250 a month, what percent of your income do you spend on transportation?
Round to the nearest tenth.
A. 4.5%
B. 18.0%
C. 20.0%
D. 22.0%
Answer:
d
Step-by-step explanation:
55÷250×100=22.0
hence d
Please help I will give brainliest for first correct answer
Answer:
0
Step-by-step explanation:
2(3*2)^2-27(6/2)+3^2
=2(9*4)-27(3)+9
=72-81+9
=0
hope it helps:)
A line passes through the point (-9,-6) and has a slope of -(2)/(3).
Answer:
[tex]\displaystyle y + 6 = -\frac{2}{3}(x + 9)[/tex]
Explanation:
In the Point-Slope formula, [tex]\displaystyle y - y_1 = m(x - x_1),[/tex]−C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with those minus symbols.
I am joyous to assist you at any time.
Find the vertex of the graph of the function
f(x)= -2x^2-16x-34
Answer Choices:
-2,-4
-4,-2
3,5
5,3
Answer:
(-4,-2)
Step-by-step explanation:
NO LINKS!!
Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20°, and from the second sensor to the aircraft is 15°. Determine how high the aircraft is at this time.
Answer:
711 ft (nearest foot)
Step-by-step explanation:
Create two equations using trig ratios and the information given (refer to the attached diagram). Equate the equations and solve.
First equation
Let y = horizontal distance between sensor 1 and the aircraft
Let h = height of aircraft above the ground
Using the tangent trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given:
angle = 20°side opposite the angle = hside adjacent the angle = y[tex]\implies \mathsf{\tan(20)=\dfrac{h}{y}}[/tex]
Rearrange to make y the subject:
[tex]\implies \mathsf{y=\dfrac{h}{\tan(20)}}[/tex]
Second equation
Let y + 700 = horizontal distance between sensor 2 and the aircraft
Let h = height of aircraft above the ground
Using the tangent trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]
Given:
angle = 15°side opposite the angle = hside adjacent the angle = y + 700[tex]\implies \mathsf{\tan(15)=\dfrac{h}{y+700}}[/tex]
Rearrange to make y the subject:
[tex]\implies \mathsf{y=\dfrac{h}{\tan(15)}-700}[/tex]
Now equate the 2 equations and solve for h:
[tex]\implies \mathsf{\dfrac{h}{\tan(20)}=\dfrac{h}{\tan(15)}-700}}[/tex]
[tex]\implies \mathsf{700=\dfrac{h}{\tan(15)}-\dfrac{h}{\tan(20)}}[/tex]
[tex]\implies \mathsf{700=\dfrac{h\tan(20)-h\tan(15)}{\tan(15)\tan(20)}}[/tex]
[tex]\implies \mathsf{700=\dfrac{\tan(20)-\tan(15)}{\tan(15)\tan(20)}h}[/tex]
[tex]\implies \mathsf{h=\dfrac{700\tan(15)\tan(20)}{\tan(20)-\tan(15)}}[/tex]
[tex]\implies \mathsf{h=710.9678247...}[/tex]
Therefore, the height of the aircraft is 711 ft (nearest foot)
mel read 7 books, write a division equation to find
number of books read
Decide whether the primary or secondary data is most suited for this hypothesis. "The yearly total rainfall in Dublin is greater than London."
A. Primary
B. Secondary
C. Neither
Give the answer without sending spam links.
A loaf of bread has 16 slices, Then two pieces were made into toast. The rest were made into sandwiches that use 2 slices of bread each. How many sandwiches were made from the loaf?
Show your work?
can someone help please
Answer:
I think it might be A, it seems most reasonable. I'm probably wrong tho
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
just multiplay
wich one do you think is greater 4x 32/5 or 3x42/5 how can yu tell without multplying explain
Answer:4x 32/5
Step-by-step explanation:
If we look at it, we know that 4 and 32 is more than 3x42. Btw, 3x42 is 126 and 4 times 32 is 128.