Answer:
The length of the bridge is 300 feet.
Step-by-step explanation:
Let A represent the length of one leg.
Let B represent the length of the other leg (i.e length of the bridge)
Let C represent the length of the Hypothenus.
From the question given above, the following data were obtained:
Length of Hypothenus (C) = 340 feet.
Length of one leg (A) = 160 feet.
Length of the bridge (B) =.?
The length of the bridge can be obtained by using the pythagoras theory as illustrated below:
C² = A² + B²
340² = 160² + B²
115600 = 25600 + B²
Collect like terms
115600 – 25600 = B²
90000 = B²
Take the square root of both side
B = √90000
B = 300 feet
Therefore, the length of the bridge is 300 feet
Question 40 of 47
What are the solutions to the quadratic equation below?
12x^2+4x-5=0
B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
dropped 7°F, what is the temperature now? ( 1 mrks)
Answer:
-21
Step-by-step explanation go up in negitive #s just stay in negitive
-14,-15,-16,-17,-18,-19,-20,-21!
8
Three friends, Cleopatra, Dalila and Ebony go shopping.
The money they each have is in the ratio
Cleopatra : Dalila : Ebony = 5:7:8.
Cleopatra has $17.
(a) How many dollars do they have in total?
(b) Dalila spends $12 on a hat.
How many dollars does she have left?
(CIE Paper 1, Nov 2005)
Total number of parts = 5 + 7 + 8 = 20
Let the sum of the money with them be = x
Cleopatra has =
= 5/20 of x = $17
= 5/20x = 17
= 1/4x = 17
= 1x = 17 × 4 ( transposing ÷4 from LHS to RHS changes ÷4 to ×4 )
= x = 68
Therefore , they have $68 in total .
Solution (b) :Total number of parts = 5 + 7 + 8 = 20
Parts with Dalila = 7/20
Money with Dalila =
= 7/20 of 68
= 7/20 × 68/1
= 476/20
= 23.8
Dalila has $23.8 with her .
Money she spends on a hat = $12
Money left with her =
= 23.8 - 12
= 11.8
Therefore , Dalila has $11.8 left with her , after she buys a hat .
Solution to the problems in the comment box :-
Solution (1) :Ratio of cement to sand to aggregate to water = 2:5:8:1
Total parts = 2 + 5 + 8 + 1 = 16 parts
Number of parts for aggregate = 8/16
Then the aggregate needed by Bobbie =
= 8/16 × 1.2
= 1/2 × 1.2
= 1.2 as a fraction will be 6/5
= 1/2 × 6/5
= 6/10
6/10 as a decimal = 0.6
Therefore , Bobbie needs 0.6 cube of meter .
Solution (a) :Cement : sand : aggregate : water = 2:5:8:1
Total parts = 16
Number of parts for cement = 5/16
Let the quantity of concrete be = x
Then ,
Cement =
= 5/16 of x
= 5/16x = 0.25 meter cube
= x = 0.25 × 16/5
= x = 25/100 × 16/5
= x = 1/4 × 16/5
= x = 16/20
= x = 4/5
4/5 as decimal = 80/100 = 0.08
Cement needed by Eddie = 0.08 cubic meter .
Quantity of water Eddie will need =
= 1/16 × 0.08
= 1/16 × 80/100
= 1/16 × 8/10
= 8/60
= 0.13
Water needed by Eddie = 0.13 cubic meter .
Quantity of aggregate needed by Eddie =
= 8/16 × 80/100
= 1/2 × 8/10
= 8/20
= 40/100
= 0.04
Aggregate needed by Eddie = 0.04 cubic meter .
Quantity of sand Eddie will need =
= 5/16 × 80/100
= 5/16 × 8/10
= 40/160
= 0.25
Quantity of sand needed by Eddie = 0.25 cubic meter .
Therefore , Eddie will need 0.25 cubic meter of sand , 0.04 cubic meter of aggregate ,0.13 cubic meter of water along with 0.25 cubic meter of cement to make concrete .
Solution (b) :When water and aggregate has been added the quantity of concrete =
= 0.13 + 0.04
= 0.07
Therefore , when water and aggregate has been added the quantity of concrete will be 0.07 cubic meter .
Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Hannah 1 hour and 35 minutes to finish her homework. When Hannah finished her homework, it was 4:40 P.M. What time did Hannah get home from school?
i need help with this
Answer:
x1=-1/97/12xx2=1 1=/97/12
Step-by-step explanation:
2
X=6x^2+4=0
-6x2^-x+4=0
What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10
Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
If Karis can run 1 mile in 10 minutes, how many
miles could he run in 1 hour at this same rate?
Answer:
6 miles per hour or 6 miles
Step-by-step explanation:
If Karis can run 1 mile in 10 minutes, how many miles could he run in 1 hour at this same rate?
1 mile = 10 minutes
there are 60 minutes in 1 hour
10 minutes × 60 minutes = 6
6 × 1 mile = 6 miles so the answer is 6 mile per hour
Write the given equation in STANDARD FORM (slope standard form)
y = 2x + 3/7
Answer:
7y=14x+3 is your answer
Which diagram shows a pair of angle measures that prove lines a and b are parallel ?
Answer:
B would be the answer because line c goes through a and b. line c would the 180 line. if you subtract 180 with the numbers on lines a and b, they would equal the same.
Option B is right.
What are corresponding angles?
Corresponding angles are those angles formed in the same relative position on different intersections when a pair of lines are crossed by a third line.
Here, if we see the 60° angle, then the opposite angle must be = (180° - 60°) = 120°.
This equal to the given corresponding angle , which is also 120°.
We know, if the corresponding angles of a pair of lines are equal, then the pair of lines must be parallel.
Hence, Option B is correct.
Learn more about corresponding angle here: https://brainly.com/question/1597341
#Tag #SPJ2
8-d≥-3d+4 solve the inequality
Answer:
[tex]d \geqslant - 2[/tex]
Step-by-step explanation:
[tex]8 - d \geqslant - 3d + 4 \\ 2d \geqslant - 4 \\ d \geqslant - 2[/tex]
Please helppppo thanksss!!!
Answer:
Your answer is (4,-3)
Step-by-step explanation:
help me please, it’s urgent. i know how to solve this but how does the equation go?
Answer:
Equation:
10x-5= 4x+25
And x=5
Plz help do questions 9 and 10 I will give brainlest
Answer:
9. B.) c=28h
10. C.) 5x=45y
Step-by-step explanation:
1. 84 cards in three hours 84/3 = 28 cards per hour
2. 2x=18y which means x=9y, x 5 = 5x = 45y
SOMEONE PLEASE HELP ME I NEED IT
Answer: m=-5/11
Step-by-step explanation:
To find the slope of two points use the formula m=y2-y1/x2-x1
Answer:
-5/11
Step-by-step explanation:
(21,-4) & (10, 1)
x1, y1 x2,y2
Slope = (y2 - y1)/(x2 - x1)
= (1 - (-4))/(10 - 21)
= -5/11
Triangle ABC is transformed to form triangle XYZ. If AC = BC and the perimeter of triangle ABC is 37 inches. What are the lengths of the sides of triangle XYZ that would make triangle ABC congruent to triangle XYZ?
Answer: xy=11 in.; yz= 13 in.; xz=13in.
Step-by-step explanation:
i’m pretty sure that’s it
A store pays $98 for a winter coat and marks the price up 10%.What is the price?
Answer:
107.8
Step-by-step explanation:
convert 10% into decimal
1.1
then calculate
98 × 1.1
107.8
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
$107.80
Step-by-step explanation:
10% of $98 is $9.80.
9.80 + 98 = 107.80
Solve the equation.
24 – 3x = 2x – 1
A. x = 4
B. x = 5
C. x = 6
D. x = 25
I don’t understand please help
Answer:
yes it is i think don't sew meh if im wrong
Step-by-step explanation:
Find the perimeter of the figure. Write your answer in simplest form.
Answer:
Where is the figure ????
Step-by-step explanation:
Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points) 8 more than half the difference of 2 and 1, and then subtract 6 Add 8 to half the difference of 6 and 2, then subtract 1 The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1 1 less than half of 6 plus the sum of 8 and 2
Answer:
Add 8 to half the difference of 6 and 2, then subtract 1
Step-by-step explanation:
8 + fraction 1 over 2 x (6 − 2) − 1.
The above is expressed mathematically as:
8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1
Answer:
Add 8 to half the difference of 6 and 2, then subtract 1
Step-by-step explanation:
8 + fraction 1 over 2 x (6 − 2) − 1.
The above is expressed mathematically as:
8 + 1/2(6 - 2) - 1
Therefore, the statement that describes this expression from the options given correctly is :
Add 8 to half the difference of 6 and 2, then subtract 1
ok, this is the last question I need help with(I think) please answer. I give Brainliest for best answer
Answer:
D) 132.67 (this seems to be the closest to the answer, I hope it helps)
Step-by-step explanation:
First, have the area of circle formula: A = π r²
Then, you need to find the radius to be able to complete the area formula. So, since you have the circumference, you will need to use it to find the radius:
C = 2 π r
40.82 = 2 π r
20.41 = π r
r = 6.496704777 . . . Do not round! Rounding will not give an exact answer!
Now that you have the radius, plug in:
A = π r²
= π (6.49 . . .)²
= π (42.20717296 . . .) Do not round! Rounding will not be exact!
= 132.5977445 . . .
≈ 132.6
Pauline orders wristbands from two different companies. • Company 1 sells each wristband for $2 and has free shipping. Company 2 sells each wristband for $1.25 and charges $6 for shipping per order. Write an equation to model the number of wristbands, w, for which the two companies charge the same amount.
Answer:
8 wristbands
Step-by-step explanation:
Let us assume that both of the company were ordered to deliver w wristbands.
The amount of money charged by company 1 who sells at $2 and offers free shipping is given as:
2w
The amount of money charged by company 2 who sells at $1.25 and $6 for shipping per order given as:
1.25w + 6
If both companies charge the same amount, hence:
2w = 1.25w + 6
2w - 1.25w = 6
0.75w = 6
w = 6/0.75
w = 8
The two companies charge the same amount for 8 wristbands
Miss sally waited on a large at the chesterfield Restaurant. The party bill totaled $110.00. As the party was pleased with the service they received, they tipped Miss sally 20% what amount did miss sally receive as her tip ? Explain your answer
Answer: $22.00
Steps: Miss Sally received $22.00 as her tip. Multiply 110 by .20 to find the percent she received.
plz mark brainliest:)
During tax-free weekend, you bought some spiral notebooks for $1.00 each and one set of colored pencils for $2. If you spent $5, how many spiral notebooks did you buy?
Answer:
3
Step-by-step explanation:
Answer:
You bought 3 spiral notebooks.
Step-by-step explanation:
This can be represented as 1x + 2 = 5. To solve this, first subtract 2 from both sides. You are left with 1x = 3. Divide by 1 to both sides, and your answer is x = 3.
Hope this helped.
Sam is looking at cell phone plans.A local company offers a monthly plan for 58.95dollars . The company is having a sale and offering a discount of 4.75 off the monthly plan. Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost
Given :
A local company offers a monthly plan for 58.95 dollars.
The company is having a sale and offering a discount of 4.75 off the monthly plan.
To Find :
Sam says that the new cost is 11.45 explain Sam's error and find the correct new cost.
Solution :
Correct cost = Original price - Discount offered
Correct cost = $( 58.95 - 4.75 )
Correct cost = $54.2 .
Now, Sam's cost is $11.45 because he took $4.75 as $47.5 .
Hence, this is the required solution.
McKenzie told her friend, “If you increase my age by 8, multiply that quantity by 1/2 , and then subtract 6, you get 5.” Write an equation that matches McKenzie’s description using x as the variable.
Answer:
(8x/2)-6=5
Step-by-step explanation:
How many $4.30 packets of sugar can be bought for $24.00?
Answer:
About 5 and a half
Step-by-step explanation:
Describe the transformation
A) translation 2 units down
B) reflection across y=-1
C) reflection across the x-axis
D) across the y-axis
Answer:
Reflection across the x-axis
Step-by-step explanation:
please open the link to see math problem
Solve a = d+c/b for d
Answer: d = a - c/b
Plz mark brainliest:)