Answer:
It is safe
Step-by-step explanation:
Using trigonometry :
Cosθ = adjacent / hypotenus
Hypotenus = length of ladder = 12 feets
Adjacent = distance between ladder and wall = 3 feets
Cosθ = 3 /12
Cosθ = 0.25
θ = cos^-1(0.25)
θ = 75.522°
To be safe ladder must be between (70 - 85)°
Sijce ladder is at an elevation of 75.22° ; then it is safe.
Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12
Evaluate the expression for k = -2
46 + -2k
Enter only the simplified numerical value after substituting the
value for the variable and doing the math.
The width of a rectangle is 4cm less than the length. If each dimension were increased by 3cm, the width of the new rectangle formed would be 2/3 the length of the new rectangle. Find the dimensions of the original rectangle.
Answer:
The original length is 9 cm and the original width 5 cm
Step-by-step explanation:
The area of a rectangle A is given as the product of its' length L and width W.
Given that the width of a rectangle is 4cm less than the length then
W = L - 4
If each dimension were increased by 3cm, then the new
Length
= L + 3
Width
= W + 3
the width of the new rectangle formed would be 2/3 the length of the new rectangle
W + 3 = 2/3(L + 3)
3W + 9 = 2L + 6
3W = 2L +6 - 9
3W = 2L - 3
Recall that W = L - 4
3(L - 4) = 2L - 3
3L - 12 = 2L - 3
3L - 2L = 12 - 3
L = 9 cm
W = 9 - 4
= 5 cm
Two students created a tape diagram to represent the following problem: The distance between Rosa's house and her school is 3/4 miles. She ran 1/3 of the way to school.
How many miles did she run Which tape diagram best represents the problem?
1. Tape Diagram A
2. Tape Diagram B
Answer:
Tape diagram b
Step-by-step explanation:
It shows 1/3 out of 3/3 instead of 1/3 of 1/3
Abel says (62)3 = 65. Is he correct? Choose the correct response.
Answer:
no
Step-by-step explanation:
The distance, y, in miles, traveled by a car in a certain amount of time, x, in hours, is shown in the graph below:
Which of the following best describes the motion of the car shown?
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.
It travels for 1 hour, then stops for 2 hours, and finally travels again for 5 hours.
It travels for 2 hours, then stops for 3 hours, and finally travels again for 5 hours.
Answer:
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
Answer:
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours
Step-by-step explanation:
From 0 to 1 that's 1 hr then
From 2 to 1 that's 1 hr but no motion so that means that the car stopped
And then ,from 2 to 5 that's means 3 hr travelling
(2x-50)
(x+40)
150°
80°
(x+20)
That 80 is not the correct x
Answer: x=120
Step-by-step explanation:
(2x-50)+(x+40)+150+80+(x+20)+90= 720
4x+330= 720
4x=390
x=97.5
Use the area of the rectangle to find the area of the triangle.
5 ft
10 ft
A. The area of the triangle is 25 square feet, because the area of the
rectangle is 25 square feet.
B. The area of the triangle is 25 square feet, because the area of the
rectangle is 50 square feet.
O C. The area of the triangle is 50 square feet, because the area of the
rectangle is 50 square feet
O D. The area of the triangle is 50 square feet, because the area of the
rectangle is 100 square feet
Answer:
C is the answer
Step-by-step explanation:
sorry if wrong that is the answer i got.
x+y=-3
X+Y=7
no solution?
Answer:
no solution
Step-by-step explanation:
x + y cannot be equal to both -3 and 7, so there is no solution.
The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in perimeter
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Side links are : 3m, 4m, 5m
The perimeter of a triangle = (a + b + c)
Perimeter 1= (3 + 4 + 5) = 12m
If the side links are multiplied by 4 :
3*4 = 12 m
4*4 = 16m
5*4 = 20m
Perimeter2 = (12 + 16 + 20) = 48 m
Comparing the perimeters:
Perimeter 1 = perimeter 2
12 = 48
Hence, perimeter also increases by 4 folds
15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.
Then find the area of the rectangle.
Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
--------------------------------------------------
The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
find the solution of given expression
[tex] \sqrt{32 \times 32 \times 4} [/tex]
Answer:
√{32×32×4}=√{32²×2²}=±(32×2)=±64
Answer:
64 will be your answer
Step-by-step explanation:
......
The maximum or minimum point of a parabola is called the __________.
a
solution
b
vertex
c
independent variable
d
output
Answer:
B. Vertex
Step-by-step explanation:
The vertex of a parabola is the highest or lowest point, also known as the maximum or minimum of a parabola.
I NEED AN ANSWER ASAP PLS PLS TYSM
Does anyone know both answers?
Answer:
Irrational, because it's a decimal that repeats
P = 2L + 2W, solve for L
Answer:
L = -W + P/2
Step-by-step explanation:
2L + 2W = P (subtract 2W)
2L = -2W + P (divide by 2)
L = -W + P/2
i just need the equation!
Answer:
let the no. of students in art class be x
then
9+4x=101
now u can solve it! u will get x = 23
Henrietta decided to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days, she learns exactly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Henrietta plan to learn each day?
Answer:
32
Step-by-step explanation:
An adult ticket costs twice as much as a child's ticket. You purchased 5 child tickets and 2 adult tickets and paid $36. Find the price of an adult ticket. Find the price of a child's ticket.
Answer:
adult ticket =$8 child ticket = $4
Step-by-step explanation:
2x =y
2y + 5x =36
4y + X=36
y =8 so X=4
Explain why one Columm in the hundredths grid is equal to one Columm in a tenths grid.
Answer:
because in each case, the selected column composes one-tenth of the grid in total. The number of blocks is different, but the proportion of space filled is the same.
Step-by-step explanation:
I NEED HELP WITH THIS QUESTION PLZ IF YOUR NICE I WILL THANK YOU ALOT
Answer:
Step-by-step explanation:
Answer:
A = 8,160 ft²
Step-by-step explanation:
A = 1/2h(sum of bases)
h = 102
bases = 75 and 85
A = 1/2(102)(75+85)
= 51(160)
= 8,160 ft²
PLZzzzzzzzxxxxxxxxxxxxxxxxxx
Perry deposits $175 into a simple interest account. The interest rate for the account is 4.25%. What would his final balance be in his account after 3 years?
Answer:
$197.31
Step-by-step explanation:
Given data
Principal= $175
Rate= 4.25%
TIme= 3 years
The expression for the simple interest is given as
A=P(1+rt)
substitute
A= 175(1+0.0425*3)
A= 175(1+0.1275)
A= 175(1.1275)
A= $197.31
Hence the balance will be $197.31
Which is the graph of y =(2/x)+2
Answer: The correct answer is B.
PLEASE HELP ASAP!
:(
Call has 1,850 books.
She must pack them into
boxes to ship to a
bookstore. Each box will
hold 12 books. How
many boxes will she need
to pack all of the boxes?
Help in 2 minutes I need an answer!!
Answer:
D
Step-by-step explanation:
A and D are the only ones that make sense but, A is incorrect because ice is an example of a solid, a solid isn't an example of ice.
16k³+24k² in factorization
Answer:
8k² (2k + 3)
Step-by-step explanation:
16k³ + 24k²
=8k²(2k + 3)
At a birthday party, Vivian counts 15 vanilla ice cream cups and 25 chocolate ice cream cups. Which properties can be used to determine the percent, p, of the ice cream that is chocolate?
Answer:
62.5 %
Step-by-step explanation:
The percentage, p of the ice cream that is chocolate is p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
Given that there are 25 chocolate ice cream cups and 15 vanilla ice cream cups, total number of ice cream cups = 25 + 15 = 40
So, p = total number of chocolate ice cream cups/total number of ice cream cups × 100%
p = 25/40 × 100%
p = 25/4 × 10 %
p = 6.25 × 10 %
p = 62.5 %
An object is under the influence of a force as represented by the force vs. position graph as
shown in Figure What is the work done as it moves from 0 to 10 m?
Work done = force x distance.
The force is 10N the distance is 10m
Work done = 10 N x 10m = 100 NM = 100 Joules
