Answers
Answer:
The ladder will go approximately 35.71 ft up the building.
Step-by-step explanation:
The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.
It means the ladder will form a right triangle with the building with the following dimensions:
base = 35 f t hypotenuse = 50 f t height = ?Using the Pythagorean Theorem to determine the height,
[tex]a^2+b^2=c^2[/tex]
Here,
a is the heightb is the basec is the hypotenuseSubstitute the given values into the equation to determine the height:
[tex]a^2+b^2=c^2[/tex]
[tex]a^2+\left(35\right)^2=\left(50\right)^2[/tex]
[tex]a^2+1225=2500[/tex]
[tex]a^2=1275[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]a=\sqrt{1275},\:a=-\sqrt{1275}[/tex]
[tex]a\:=\:35.71,\:\:\:a\:=\:-35.71[/tex]
We know that height can not be negative. Thus,
[tex]a=35.71[/tex] ft
Therefore, the ladder will go approximately 35.71 ft up the building.
Related Questions
Help it’s 10 points whoever guesses is getting reported
Answers
Answer:
c
Step-by-step explanation:
III
because in (x,y) y is the second as you see
y is the vertical axis and x is the horizontal so IV is correct
F
E
B
D
a. Identify at least two pairs of congruent angles in the figure and explain how you know they are
congruent.
Answers
Answer:
A,B,C,D,E,F
Step-by-step explanation:
So it's A,D
2 trifles cost £7
how much do 6 trifles cost
Answers
Answer:
23
Step-by-step explanation:
multiply the cost by 3
Answer:
£21
Step-by-step explanation:
Use ratios! Amount of trifle: Amount of money
2:7
*3 *3
6:21
£21
Given the mean is 19, find the value of x. -3, 10, 22, x, 28
Answers
Answer:
The value of x = 38
Step-by-step explanation:
As we know that
The mean of a data set is the sum of the terms divided by the total number of terms.
Using math notation we have:
Mean = (Sum of terms) ÷ (Number of terms)
As
Number of terms = 5Mean = 19Sum of terms = -3 + 10 + 22 + x + 28so mean the equation becomes
Mean = (Sum of terms) ÷ (Number of terms)
19 = (-3+10+22+x+28) ÷ 5
19 × 5 = -3+10+22+x+28
95 = x + 57
x = 95 - 57
= 38
Therefore, the value of x = 38
A group of friends were working on a student film. They spent all their budget on costumes and equipment. They spent $396 on costumes, and 45% of the total budget on equipment. What was the total budget for their student film?
Answers
Answer:
The total budget for their student film was $720.
Step-by-step explanation:
From the information given, you know that they spent all their budget on costumes and equipment and that they spent 45% of the total budget on equipment. From this, you could inferred that in order to find the percentage they spent on costumes you have to subtract 45% from 100% that would indicate the total amount spent:
100%-45%=55%
According to this, you know that they spent 55% of the total budget on costumes and the statement says that the amount was $396. With this information, you can use a rule of three to find the amount that represents 100%:
396 → 55%
x ← 100%
x=(396*100)/55=720
The answer is that the total budget for their student film was $720.
It is 185 miles to Fort Worth. If Vang drives 2 hours at 65 miles per hour, how far will he be from Fort Worth?
Multiply the number of hours times the number of miles per hour.
Then subtract the number of miles driven from the total number of miles.
Write and solve the arithmetic problem for the first step.
Answers
Answer:
130
Step-by-step explanation:
65x2=130
185-130=155'
hope this helps :)
brainliest plz
Jackson has $25 in his lunch account at school. He spends $3 each day to eat in the cafeteria. What is Jackson's lunch account balance after two weeks of buying his lunch in the cafeteria?
Answers
Answer:
$10 is in his account.
Step-by-step explanation:
goes to school 5 days a week$3 per day so 3x5subtract 15 from 25Carol gets paid $10 per hour to work as a lifeguard this weekend she worked on both Saturday and Sunday she made a total of $80 girl worked for five hours on Saturday for how many hours did she work on Sunday
Answers
Answer:
3 hours
Step-by-step explanation:
Given
[tex]Earnings = \$10[/tex] per hour
[tex]Total\ Earnings = \$80[/tex]
Required
Determine the number of hours worked on Sunday
If she works for 5 hours on Saturday, then her Saturday earnings is:
[tex]Saturday\ Earnings= \$10 * 5[/tex]
[tex]Saturday\ Earnings= \$50[/tex]
Her earnings on Sunday is Total Earnings - Saturday Earnings. So, we have:
[tex]Sunday\ Earnings = Total\ Earnings - Saturday\ Earnings[/tex]
[tex]Sunday\ Earnings = \$80 - \$50[/tex]
[tex]Sunday\ Earnings = \$30[/tex]
Number of hours worked is calculated by dividing earnings by earnings per hour.
So:
[tex]Hours = \frac{\$30}{\$10}[/tex]
[tex]Hours = 3[/tex]
Hence, she worked for 3 hour
which of the following is true regarding the solutions to the logarithmic equation below 2log ^6(x)=2 log ^6 (x^2 )=2 x^2=36 x=6,-6
Answers
Answer:
Step-by-step explanation:
I'm assuming these are logs to the base 6
2 log6 x = 2
log6 x^2 = 2
So x^2 = 6^2
x = 6, -6.
Answer:
It's C
Step-by-step explanation:
Edge 2020!
What postulate or theroem prove these triangles are congruent?
Answers
Answer:
The Answer To Your To Your Question Is SAS (Side-Angle-Side) Theroem
Answer:
Side angle side Theorem
Step-by-step explanation:
Harriet had 6 pounds of nails that cost $35.34. If each pound of nails was the same price, how much was one pound of nails?
Answers
Answer:
The answer is $5.89
A cone with a radius of 12 units and a height of 6 units
Answers
1) Does the pair of ratios form a proportion? *
3 points
Yes
No
Answers
Answer:
Yes
Step-by-step explanation:
Divide 4/8 by 2 then you get 2/4 which is also 1/2
Answer:
YES bc there all possative and there even numbers!
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get you a better answer!
Have a great day! :)
If you need help with anything HMU and i got you, no points included :)
★PLSSSSS HELPPPPPPPPP★
Answers
9514 1404 393
Answer:
(-2, 3)
Step-by-step explanation:
Of the choices offered, the only point that is on the line is (-2, 3).
using the slope formula find the slope of the line that passes through these points (-2,4) and (4,-1)
Answers
Answer:
-5/6
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-1-4/4-(-2)
-5/6
Best of Luck!
Answer:
3/2 or 1.5 :) hope this helped
Step-by-step explanation:
4 - 1 3
------- = --- = 1.5
4 - 2 2
Dermot bakes 420 cakes.
He bakes only vanilla cakes, banana cakes and lemon cakes. 120 of the cakes are vanilla cakes.
35% of the cakes are banana cakes.
Work out the number of lemon cakes Dermot bakes. PLEASEE I NEED NOW
Answers
Answer:
Step-by-step explanation:
lemon cakes:105
420-120=300
35% of 300:
35 divided by 100*300=105
Number of lemon cakes Dermot bakes are 153.
What is percentage?"A percentage is a ratio of a number to 100. The symbol % is used to indicate a percent."
According to the problem
Number of vanilla cakes = 120
Total number of cakes = 420
Banana cakes = 35 % (35 percentage) of total cakes
= 420 × 35%
= 420 × [tex]\frac{35}{100}[/tex]
= 147
So the lemon cakes are = Total cakes - banana cakes - vanilla cakes
= 420 - 147 - 120
= 153
Hence, number of lemon cakes Dermot bakes are 153.
Learn more about percentage here
https://brainly.com/question/1466006
#SPJ2
Here is a recipe for hot chocolate. The recipe makes 4 cups. You and 7 friends are going to enjoy some hot chocolate outside, socially distanced of course.
Answers
Answer:
The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.
Step-by-step explanation:
The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.
Deductive reasoning uses all of the following to draw logical conclusions except:
A.) Rules
B.) Laws
C.) Patterns
D.) Facts
Answers
Answer:
Laws
Step-by-step explanation:
It just is
Answer:
patterns
Step-by-step explanation:
Deductive reasoning is used to prove conjectures to be true.
Choose the correct answer to 3,979 5.
A 795
B 795 R4
C 794 R9
D 796
Answers
Answer: B
Step-by-step explanation: Pic is attached. Long Division. Hope this helps. Sorry for bad handwriting, writing with a mouse.
Answer:
its B
Step-by-step explanation:
this is pretty hard
Answers
Answer:
yeah this is 8 units to the x axis, I hope I'm right! See ya! Any question or comments, pls tell me, thanks!
Step-by-step explanation:
Convert: 200 fluid ounces = ? cups
Answers
Answer:
25
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
Plz help
This is due tonight and I’m literally struggling to complete it all
Answers
Problem 10
Answer: 20 degrees
Explanation: Angle GBE = 20 is shown in the diagram which is adjacent to the angle we want. Recall that the incenter is found by constructing the angle bisectors of a triangle. The angle bisectors cut each angle in half. So angle ABG and angle GBE are the same measure.
========================================================
Problem 11
Answer: 22 degrees
Explanation: We'll use similar reasoning as above to find that angle GCA is 11 degrees. So angle BCA = (angle BCG)+(angle GCA) = 11+11 = 22.
========================================================
Problem 12
Answer: 118 degrees
Explanation: Make a copy of triangle ABC. Ignore the other line segments inside the triangle. We found so far that angle B = 20+20 = 40 degrees and angle C is 22 degrees. Solve A+B+C = 180 to get A = 118. This is the measure of angle BAC.
========================================================
Problem 13
Answer: 59
Explanation: Cut the result of problem 12 in half. We're using the same idea as problem 1. Segment AG cuts angle BAC into two equal halves.
========================================================
Problem 14
Answer: 4
Explanation: We can show that triangles GEB and GDB are congruent by the AAS congruence theorem. Note the two pairs of congruent angles, and the pair of congruent sides that are not between the angles. From there, we see the corresponding pieces GE and GD are the same length. The diagram shows GE = 4, so GD = 4 also.
========================================================
Problem 15
Answer: 11
Explanation: Same idea as problem 14. This time we focus on the corresponding congruent parts BD and BE, which are both 11 units long.
========================================================
Problem 16
Answer: sqrt(137)
Explanation: Focus on triangle GDB or triangle GEB (they're the same triangle, just one is a mirror reflection of the other). Use the pythagorean theorem with a = 4, b = 11 to find that c = sqrt(137)
========================================================
Problem 17
Answer: 4*sqrt(26)
Explanation: We'll use a similar idea as problem 14. We can prove triangles GFC and GEC are congruent by AAS. Consequently, we know that FC = EC = 20. The diagram shows EG = 4. Focus on triangle GEC. Use the pythagorean theorem to find that GC = sqrt(416) = 4*sqrt(26)
2008, the price of a gallon of unleaded gasoline was $4.02. In 1990, it was only $1.37 per gallon. What is the increase expressed as a percent change? Round to the nearest percent.
Answers
Answer:
p
Step-by-step explanation:
p
Mrs. Lewis had $100 to purchase school supplies for her class. She bought 40 glue sticks and 40 boxes of crayons. Each glue stick cost $1.50, and each box of crayons cost $0.89. How much money did Mrs. Lewis have left after these purchases?
Answers
Answer:
the answer is she had $4.40 left.
Step-by-step explanation:
1) 40x1.50=60 2) 40x0.89= 35.6 3) 60+35.6= 95.6 4) 100- 95.6= $4.4 I hope this helps if not sorry. :)
Which is a possible combination of root types for a 7th degree polynomial?
Which is a possible combination of root types for a 7th degree polynomial?
6 rational roots, 1 irrational root
3 irrational roots, 4 complex roots
2 rational roots, 2 irrational roots, 3 complex roots
7 rational roots
Answers
Given:
Degree of a polynomial is 7.
To find:
The possible combination of root types for a 7th degree polynomial.
Solution:
We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.
Similarly,
Irrational roots are also occurs in pairs. If [tex]1+\sqrt{2}[/tex] is a root of polynomial, then its [tex]1-\sqrt{2}[/tex] is also the root of that polynomial, it means number of irrational roots always an even number.
In options A, B and C either complex or irrational roots are odd, which is not true.
Therefore, the correct option is D.
Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Ashley spent $152 on 12 hostas and 8 bunches of ornamental grass. Joe spent $66 on 6 hostas and 3 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass.
Answers
Answer:
one hosta=$6
one ornamental grass=$10
Step-by-step explanation:
6 10?
6*6+3*10
36+30
66
12*6+8*10
72+80=152
PLEASE HELP FAST!!!! I WILL MARK BRAINLIEST!!!!!!!!!!
Select all of the inequalities that have (-3,-1) as a solution.
Answers
Answer:
what inequalities? all I see is a black void
Step-by-step explanation:
Answer:
Step-by-step explanation:
can´t see the graph. its black
Write an ordered pair for the point in Quadrant III that is 3 units away from point Q (1.5,
-1.5) on the coordinate plane.
Answers
Answer:
Its 1.66
Step-by-step explanation:
Brainliest
Which inequality represents the following situation:
Hats are $16 each and Joe has no more than $80 to spend. How many hats can he purchase?
80x ≥ 16
80x ≤ 16
16x ≥ 80
16x ≤ 80
Answers
Answer:
16x <= 80
It's D
16x= 16$ for each hat
80= the most he can spend
In context: Each hat cost 16$ and the most he can spend is 80, nothing more than that.
solve for s in the equation please
Answers
Answer:
option A.)
s = A - bc ÷ u
Step-by-step explanation:
A = bc + us
us + bc = A
us = A - bc
s = A - bc/u
-TheUnknownScientist