Answer:
Angle of elevation = 21.167°
Step-by-step explanation:
Given:
Horizontal distance cover by rover = 180 m
Vertical distance cover by rover = 65 m
Find:
Angle of elevation
Computation:
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
⇒ Sin θ = Vertical distance cover by rover / Horizontal distance cover by rover
⇒ Sin θ = 65 / 180
⇒ Sin θ = 0.3611
⇒ Sin⁻¹ (0.3611) = 21.167°
Angle of elevation = 21.167°
if you invest $1,600 at 5.35% for 18 months how much simple interest is earned
Answer:
Step-by-step explanation:
Answer:
1540.8
Step-by-step explanation:
i=prt
i= 1600(.0535)(18)
i=1540.8
also i is equal to interest, p is equal to principal, r is equal to rate and t is equal to time.
Lucy wants to buy a new laptop for school. She has a $25 off coupon, but the store is also having a sale for 15%. Unfortunately she can not get both discounts and must pick one. If the laptop costs $200, which one should she use?
Answer:
15% discount
Step-by-step explanation:
200 x .15 is 30 which means that you save 5 dollars more when using that discount rather than just 25.
Solve : t+2t squared
Answer:
t=0 or t=-1/2
Step-by-step explanation:
Solve for t over the real numbers:
t (2 t + 1) = 0
Split into two equations:
t = 0 or 2 t + 1 = 0
Subtract 1 from both sides:
t = 0 or 2 t = -1
Divide both sides by 2:
Answer: |
| t = 0 or t = -1/2
So who’s tryna help me ☝
Answer:
4
Step-by-step explanation:
5+3=8 and 5-3=2 which is 8/2=4
The expression 52 - 4 of (17 - 12) + 4 × 7 is equal to
70
60
50
48
Answer:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Step-by-step explanation:
Given expression;
52 - 4 of (17 - 12) + 4 × 7
Find:
The value of given expression 52 - 4 of (17 - 12) + 4 × 7
Computation:
52 - 4 of (17 - 12) + 4 × 7
Using BODMAS rule;
52 - 4 of (17 - 12) + 4 × 7
52 - 4(17 - 12) + 4 × 7
52 - 4(5) + 28
52 - 20 + 28
80 - 20
60
So,
The value of given expression 52 - 4 of (17 - 12) + 4 × 7 = 60
Kala received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.58 per pound. After buying the coffee, she had 18.52 left on her card. How many pounds of coffee did she buy?
50 points!!!! Write an equation that can be used to find the nth term of the sequence, an. 100, 112, 124, 136, 148, ... Enter your answer by filling in the boxes. an = n +
Answer:
an = 148 + 48
Step-by-step explanation:
Answer:
aₙ = 12n + 88Step-by-step explanation:
Given sequence:
100, 112, 124, 136, 148, ...This is an AP with the first term of a₁ = 100 and common difference of d = 12.
Formula for nth term is:
aₙ = a₁ + (n - 1)d aₙ = 100 + 12(n - 1) = 100 + 12n - 12 = 12n + 88An architect is designing square windows with an area of(x2 + 16x +64) ft?. The dimensions of the
windows are of the form ax +b, where a and b are whole numbers.
Part 1 out of 2
Find an expression for the perimeter of the windows.
The perimeter of the square is represented by
(x+
6 ft.
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
Step-by-step explanation:
I filled two notebook papers to solve this
Ms. Nailor's daughter received $25
babysitting one week. How much does she
need to earn the second week to average
$30?
Group of answer choices
$27.50
$30
$35
$25
Answer:
B
Step-by-step explanation:
2 Select the correct answer. Adrianna is using exponential functions to model the value, in whole dollars, of two investments. She represents the value of investment A with a description of its key features and the value of investment B with a table. In both cases, xis the number of years she has held the investment.
Answer: A.
Both investments are decreasing in value, and investment A is decreasing in value faster.
Step-by-step explanation:
What’s the answer for 18 and 19?
Answer:
18. 3,0 19. 0,5
Step-by-step explanation:
Solve for y please will mark brainly
Answer:
y = -4
Step-by-step explanation:
since f(y) = 9, you know the equation is equal to 9
9 = [tex]\sqrt{y+29}[/tex] - y
81 + 18y + y^2 = y + 29
y = -4
Directions: Read the following questions. Write the letter of the
correct answer.
1. Which of these lines pass a common point?
A. intersecting lines
C. line segment
B. parallel lines
D. perpendicular lines
2. Which of these lines meet at a point and produce square
corner or right angle?
A. connecting lines
C. intersecting lines
B. parallel lines
D. perpendicular lines
3. Which of these lines never meet or intersect in any point?
A. connecting lines
C. intersecting lines
B. parallel lines
D. perpendicular lines
4. Which of the following has the same distance apart at all
times?
A. intersecting lines
C. line segment
B. parallel lines
D. perpendicular lines
5. Which of the following is not shown in the figure at the
right?
A. a line intersects parallel lines
B. there are intersecting lines
C. there are perpendicular lines
D. two lines are parallel
Answer:
1. A
2.D
3.B (parallel lines)
4.B
5. i don't have a picture of the figure so i'm not sure
solve the system using substitution x=-4y y=2x+9
Answer: x=-4
Step-by-step explanation:
Given
x=-4y
y=2x+9
Rephrase equation to find y value in terms of x
y=-x/4
y=2x+9
Use substitution (substitute value of y)
2x+9=-x/4
Multiply -4 on both sides
-4(2x+9)=-4(-x/4)
-8x-36=x
Add 8x on both sides
-8x-36+8x=x+8x
-36=9x
Divide 9 on both sides
-36/9=9x/9
x=-4
Hope this helps!! :)
Please let me know if you have any questions
Find the value of x.
6
14
3x-12
21
x = [?]
The diagram shows a rhombus inside a regular hexagon
Work out the size of x
Answer:
add a picture
Step-by-step explanation:
helpp will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2
name three services that the government provides that do not make a profit
Answer:
postal services, highways, national defense, public health care, fire department
Step-by-step explanation:
sorry i added more
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
O: The height of the water increases 2 inches per minute.
O: The height of the water decreases 2 inches per minute.
O: The height of the water was 2 inches before any water was added.
O: The height of the water will be 2 inches when the pool is filled
Answer:
answer is a
the height of the water increases 2 inches per minute
Answer:
The height of the water increases 2 inches per minute.
Step-by-step explanation:
multiply the following
1)34/7×3
2)3/8×7
3)3/4×7
Answer:
1) 102/21
2) 21/51
3) 21/24
Step-by-step explanation:
blue monkeys are swimming with 20 red and 30 black the total is 1000 how many are blue monkeys.
Answer:
950 Blue monkeys
Step-by-step explanation:
1000-20= 980-30= 950 blue monkeys
Find the volume (in cubic inches) of an exercise ball with a radius of 17 inches. (Round your answer to one decimal place.)
Answer:
20579.52628
Step-by-step explanation:
4/3 pi(r^3)
4/3 pi x 17 x 17 x 17
= 20579.52628
Answer:
20579.5
Step-by-step explanation:
The formula for The volume of a Sphere is 4/3 pi r^3
so it would be 4/3pi * 4913
4.19666666....* 4913 which would equal to 20.579.53333333333 or 20579.5
What is the answer this is a math question
Answer:
1221 - 321 = 900
Step-by-step explanation:
PLEASE ANSWER ASAP!!!The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Write the expression 5^2/3 without using exponents
The expression 5²/3 can be written without exponents as the fraction 25/3 or 8.33 approximately to 2 decimal place.
Whole numbers, exponents and fractionsWhole numbers include all natural numbers and 0 and can be expressed as exponents and fractions. Exponent is the method of expressing numbers in terms of powers while fractions a fraction represents a part of a whole or, more.
The expression 5²/3 having an exponent can be rewritten as follows:
5²/3 = (5 × 5)/3
5²/3 = 25/3
Therefore, without using exponents the fraction 25/3 or 8.33 approximately to 2 decimal place is the same as the expression 5²/3.
Learn more about exponents here: https://brainly.com/question/11975096
#SPJ1
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that 98% of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that 150 individuals predisposed to allergies are chosen at random and given allergy vaccinations.
A. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
B. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Solution :
Here we can use the Binomial distribution, as there are only two possible outcomes.
The given data:
n = 150
q = 98%
= 0.98
p = probability of not finding relief = 1 - 0.98
= 0.02
A). The number of the individuals who do not find any relief from sinusitis is :
E(x) = np
= 150 x 0.02
= 3
B). The uncertainty of my estimate is = [tex]$\sqrt{npq}$[/tex]
[tex]$=\sqrt{150 \times 0.02 \times 0.98}$[/tex]
= 1.716
Point O is the center of the square ABCD. Point E is the midpoint of line segment CD. The area of square ABCD is 24, what is the are of the quadrilateral BCEO?
Answer: You divided 24 by 3 then you take the answer
Step-by-step explanation:I hope it help
a clothing distributor sold an $80 coat at a discount price of $73. what was the percentage of discount for the coat?
Answer:
91%
Step-by-step explanation:
The discount is $73 so we would get 73/80.
73/80 is also known as 73÷80
which would equal 0.9125
if we were to covert and round it to a percent, it would be 91%
if the square roots of the natural numbers from 1 to 200 are calculated what will be the whole numbers
Answer:
f
Step-by-step explanation:
Green vines attached to the trunk of the tree had wound themselves toward the top of the canopy. Ants used the vine as their private highway, avoiding all the creases and crags of the bark, to freely move at top speed from top to bottom or bottom to top depending on their current chore. At least this was the way it was supposed to be. Something had damaged the vine overnight halfway up the tree leaving a gap in the once pristine ant highway.
The whole numbers will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
How to find the whole numbers?
Remember that a square root will have a whole number as an outcome only if the input is a square number.
Then, what we can do here is just find all the square numbers smaller than 200.
1*1 = 1
2*2 = 4
3*3 = 9
4*4 = 16
5*5 = 25
6*6 = 36
7*7 = 49
8*8 = 64
9*9 = 81
10*10 = 100
11*11 = 121
12*12 = 144
13*13 = 169
14*14 = 196
Then, if we take the square roots of all the natural numbers from 1 to 200, we will have 14 whole numbers as outcomes, and these will be:
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
If you want to learn more about square roots, you can read:
https://brainly.com/question/8952483