We know, perimeter of the rectangle = 2(l +b)
where, l = length and b = breadth
Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.
=> Perimeter = 2(l + b)
=> 48 = 2(l + 10)
=> 48/2 = l + 10
=> l + 10 = 24
=> l = 24 - 10
=> l = 14 kilometers
the question is
on the image.
Answer:
PR = 7.99 cm (2 dp)
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
From inspection of the triangle:
a = PRb = PQ = 12.1 cmc = RQ = 14.5 cmSubstituting the given values into the formula;:
⇒ a² + b² = c²
⇒ PR² + 12.1² = 14.5²
⇒ PR² + 146.41 = 210.25
⇒ PR² = 210.25 - 146.41
⇒ PR² = 63.84
⇒ PR = ±√(63.84)
⇒ PR = ±7.99 (2 dp)
As distance is positive, PR = 7.99 cm (2 dp) only
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action.
Select all that apply.
I A. Action: Add 3 to both sides.
OB. Action: Multiply both sides by 3.
O C. Action: Divide both sides by 3.
D. Property: Addition property of equality
I E. Property: Multiplication property of equality
O F. Property: Division property of equality
Answer:
C , F
Step-by-step explanation:
you need to divide both sides by 3 in order to get x
3x = 12
x = 4.
the property is the division property of equality.
pls give brainliest
A researcher examined a random sample of 300 homes in a small city and found that 47 had solar panels installed on their roofs. Use the sample to construct a 99% confidence interval for the proportion of all homes in the city that have solar panels installed on their roofs. What is the sample proportion? **Round to two decimal places
The confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
How to calculate the confidence interval for proportion?The formula for calculating the confidence interval for proportion is expressed as:
[tex]p \pm z\sqrt{p(1-p)/n[/tex]
p is the proportion
z is the z score at 99% interval
n is the sample size
Given the following parameters
[tex]p=\frac{47}{300} = 0.16\\z=2.576\\n=300[/tex]
Substitute the values
[tex]CI = 0.16 \pm 2.576\sqrt{0.16(0.84)/300}\\CI=0.16\pm2.576(0.02116)\\CI = 0.16 \pm 0.0545[/tex]
Hence the confidence interval for the sample proportion is [tex]CI = 0.16 \pm 0.0545[/tex]
Learn more on confidence interval here: https://brainly.com/question/15712887
my brother wants answers and im too lazy lol but nigel has 2 dogs. one eats 2 1/2 pounds of food each week. the other eats 1 3/8 pounds each week. together how much do the dogs eat each week
Answer:
3 7/8 would be your answer
Rose is 60 inches tall. how many feet tall is Rose
Answer:
5 feet
Step-by-step explanation: 60 divided by 12 inches is 5 feet
Can anyone help me with this puzzle equation please
Is (1, 0) a solution to the equation y= –9x + 1?
Answer:
No
Step-by-step explanation:
→ Substitute the x value into the equation
-9 × 1 + 1
→ Simplify
-8
→ Compare to given y value
0 ≠ -8
Answer:
no
when you substite the values you don't get the same values
An engineer would like to design a parking garage in the most cost-effective manner. He reads that the average height of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage, is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a random sample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2 inches. The statistician will determine if these data provide convincing evidence that the true mean height of all trucks is greater than 76.4 inches. The statistician plans to test the hypotheses, H0: μ = 76.4 versus Ha: μ > 76.4, where μ = the true mean height of all trucks. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
PLEASE HELP! DUE TODAY!! TY!:)
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.
A) Write and solve an equation for x. Show your work.
B) Write and solve an equation to find the measure of angle D. Show your work and label your answer.
m∠D=
C) Write the measure of each of the other angles of the quadrilateral. Don’t forget to label your answers.
m∠A=
m∠B=
m∠C=
Answer:
Step-by-step explanation:
hello, please answer the question, please show work
Answer:
5
Step-by-step explanation:
[tex]\frac{(44+9^2)}{5^2}[/tex] = [tex]\frac{44+81}{25}[/tex] = [tex]\frac{125}{25}[/tex] = 5
In ΔSTU, the measure of ∠U=90°, SU = 36, UT = 77, and TS = 85. What ratio represents the secant of ∠T?
Answer:
I think Angle T is 36 degree
I think it will help you
simplify the following variable expressions
[tex] \qquad \qquad \sf \: \huge Answer♨[/tex]
Let's simplify ~
Expression 1[tex]\qquad \sf \dashrightarrow \:2x + 5 + x - 6 + 3x[/tex]
[tex]\qquad \sf \dashrightarrow \:(2x + x + 3x) + (5 - 6)[/tex]
[tex]\qquad \sf \dashrightarrow \:6x + ( - 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:6x - 1[/tex]
Expression 2[tex]\qquad \sf \dashrightarrow \:x - 8 + x - 5 + x + 1[/tex]
[tex]\qquad \sf \dashrightarrow \:(x + x + x) + ( - 8 + ( - 5) + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:3x + ( - 12)[/tex]
[tex]\qquad \sf \dashrightarrow \:3x - 12[/tex]
what is 43-3y=16 find the unknown?
Answer:
9
Step-by-step explanation:
We have to move -3y to by itself so we move 43 to the other side, when we do this 43 becomes negitive.
-3y = 16 - 43
-3y = -27
Now we divide -27 by -3
y = -27/-3
y = 9
[tex]\rightarrow\sf{y \:=\: 9}[/tex]
Solution:-[tex]\rightarrow\sf{43 - 3y\: = \:16}[/tex]
[tex]\rightarrow\sf{-3y\: = \:16-43}[/tex]
[tex]\rightarrow\sf{-3y\: = \:-27}[/tex]
[tex]\rightarrow\sf{3y \:= \:27}[/tex]
[tex]\rightarrow\sf{y\: = \:\frac{27}{3}}[/tex]
[tex]\rightarrow\sf{y \:= \:9}[/tex]
Therefore, value of unknown y = 9.
_________________________________
Hope it helps you:)
Which expression is equal to – 8s – 2s2 + 23s – 4?
A. -2s^2 + 15s - 4
B. -10s^2 + 23s - 4
C. -2s^2 - 8s + 19 - 4
D. 13s^2 - 4
Answer:
A. -2s^2 + 15s - 4
Step-by-step explanation:
HELP!!! PLS ASAP!!! GIVNG BRAINLIEST AND 60 P0INTS TO BEST ANSWERS AND MODELS FOR THESE 3 QUESTION!!! PLS HELP AS FAST AS U CAN!
Answer:
1. 5/12
2. 3/8
3. 1/4
Step-by-step explanation:
a group of 6 adults pay a total of $105 for for their admission to a museum. Each person has a coupon for $5 off the regular admission price. they want to know what the regular admission price is for one adult. Write an equation if a equals the regular admission price
Answer:
$22.50
Step-by-step explanation:
105/6= 17.5 each
17.5+5= 22.5
Anyone know this or how to work this out
Answer:
140 degrees.
Step-by-step explanation:
All circles are made up of [tex]360^\circ[/tex]. Each of the angles provided are called central angles, which means when we add them all together, we will get a total of [tex]360^\circ[/tex]
Notice the little red box, which indicates a [tex]90^\circ[/tex] angle. From the circle, we know the following angles:
[tex]\angle{RQS}=130^\circ[/tex]
[tex]\angle{TQS}=90^\circ[/tex]
We can write and solve an equation to solve for the missing angle, [tex]\angle{RQT}[/tex]:
[tex]\angle{RQS}+\angle{TQS}+\angle{RQT}=360^\circ\\130^\circ + 90^\circ+\angle{RQT}=360^\circ[/tex]
Combine like terms:
[tex]230^\circ+\angle{RQT}=360[/tex]
Subtract [tex]230^\circ[/tex] from both sides:
[tex]\angle{RQT}=140^\circ[/tex].
Which table represents the function y =1/3 x + 4?
Input x 0 -3 -6
Output y 4 3 2
Input x 6 9 12
Output y 6 9 12
Input x 0 3 6
Output y 4 6 8
Input x 3 6 9
Output y 5 7 9
Answer:
i think that is the second one but im not sure.
Expand 3(2x-7) - 2(3x+5)
Answer:
-31
Step-by-step explanation:
Expand 3(2x-7) - 2(3x+5)
Distribute:
3(2x-7)
6x - 21
-2(3x+5)
-6x - 10
Add:
6x - 21
- 6x - 10
- 31
Hope this helps!
Answer:
[tex]\boxed{\sf{-31}}[/tex]
Step-by-step explanation:
If you want to solve this, you must expand by a distributive property.
Distributive property:
A(B+C)=AB+AC3(2x-7)-2(3x+5)
3(2x-7)
3*2=6
3*7=21
Rewrite the problem.
6x-21
6x-21-2(3x+5)
-2(3x+5)
-2*3=-6
-2*5=10
-6x-10
Rewrite the problem down.
6x-21-6x-10
Combine like terms.
6x-6x-21-10
Add similar into their elements.
6x-6x=0
-21-10
Solve.
Subtract the numbers from left to right.
-21-10=-31
-31
Therefore, the correct answer is -31.I hope this helps you! Let me know if my answer is wrong or not.
What are the coordinates?
Answer:
[tex](1,1)[/tex]
Step-by-step explanation:
If you graph it, You can see that the last point will be [tex](1,1)[/tex].
Hope This Helps!
48 ounce bag of granola each month how many pounds if granola does she eat each year
Answer:
12 months = 1 year48 ounce bag of granola per month.
T = 48x
Where 'x' represents the months.
Replace x with 12, because we want to know how many ounces she eats each year.
T = 48x
T = 48(12)
T = 576 ounces, she eats each year.
The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Question:
The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)
Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft
Not fully sure....
But it should be right...
Can someone help me?
Answer:
Min = 4
Q1 = 9.5
Median = 13
Q3 = 16
Max = 19
Step-by-step explanation:
4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19
Q1 Q2 Q3
Min (minimum value) = 4
Q1 (middle value of values before Q2) = (9 + 10) / 2 = 9.5
Median (middle value) = 13
Q3 (middle value of values after Q2) = (15 + 17) / 2 = 16
Max (maximum value) = 19
It’s kinda confusing?
name a right angle I need some help
Answer:
90°
Step-by-step explanation:
A right angle is 90° ,learned that in elementary.
Answer:
A right angle is an angle with a 90 degree corner.
Step-by-step explanation:
Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
A triangle has two sides of length 19 and 19. What is the largest possible whole-number length for the third side?
Answer: 37
To maximize the length of the third side, which I'll call x, it needs to be the longest side.
So by the triangle inequality theorem, 19+19>x, meaning the maximum whole number value of x is 37.
Anyone know this answer too??
Answer:
[tex]x = -21[/tex]
Step-by-step explanation:
[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]
Round to nearest tenth and solve for x
Answer:
[tex]\displaystyle 9,6[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
OR
[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.
help pls
Answer: 98g
Step-by-step explanation:Given relationshipSalt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g