Answer:
Step-by-step explanation:
area of rectangle=l*b
=8*15
=120 cm^2
area of rectangle=l*b
96=16*b
96/16=b
6=b
29. A lamppost casts a 18-foot shadow along the ground when the angle of elevation of the Sun is 52°.
Which equation can be solved to find the height of the lamppost, h?
A. cos 52°= 18/h
B tan. 52°=18/h
C. cos 52°= h/18
D. tan 52° = h/18
Answer:
a
Step-by-step explanation:
b
The equation can be solved to find the height of the lamppost 'h' is
D. tan52° = h/18
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
From the given information we have a reference angle of 52° opposite to it is the height(h) of the pole and a shadow which is the adjacent side is 18 feet.
We know, tan = opposite/adjacent.
Therefore, tan52° = h.18.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ2
help pleaseeeeeghffffffff
Step-by-step explanation:
TPC and DPC are supplementary angles so
DPC=180-123=57°
Answer:
m arc BDT = 270°
Step-by-step explanation:
m arc BDT = 360° -90° = 270°
________________
6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 profit how much will 6b make?
Answer:
45
Step-by-step explanation:
6a 6b
2 : 3
30 : x
30×3
2
=45
A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its smallest face, the water is 5 feet deep. How deep will the water be if the box is resting on its largest face? Explain your reasoning.
Answer:
i, 1.875 ft
ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.
Step-by-step explanation:
i. How deep will the water be if the box is resting on its largest face?
Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.
V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³
This is also the volume of the water when it is resting on its largest face.
Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face
So, h' = V/A'
= 75 ft³/ (8 ft × 5 ft)
= 15/8 ft
= 1.875 ft
ii, Explain your reasoning.
Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.
An article is bought for Rs 8600 and is sold at a profit of 20 %. Find its selling price.
Selling price = 8600 + Profit
Selling price = 8600 + ( 8600 × 20/100 )
Selling price = 8600 + ( 86 × 20 )
Selling price = 8600 + 1720
Selling price = Rs 10,320
Orange juice is sold in cartons in three different size 350 ml selling price $4.20 450 ml selling price $5.35 500 ml selling price $5.80 which of the orange juice is most cost-effective buy?justify answer
Answer:
I think it is the $4.20 because if you do the math technically the 4.20 is less for more
Step-by-step explanation:
A line, line segment, or ray that intersects a line segment at its midpoint is a segment bisector. True or fals?
Answer:
true.
Step-by-step explanation:
hope this helps, i looked it up :)
In the figure below, find the exact value of x. (Do not approximate your answer.)
3
Answer:
Step-by-step explanation:
use the idea of similar triangles.
6/3 = 3/x
2x = 3
x = 3/2
Jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interesrt will she earn over 5 years?
Answer:
$11838.7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 9500
r = 4.5% = 0.045
t = 5
Step 2: Find A
Substitute in variables [Simple Interest Rate Formula]: A = 9500(1 + 0.045)⁵(Parenthesis) Add: A = 9500(1.045)⁵Evaluate exponents: A = 9500(1.24618)Multiply: A = 11838.7A three-dimensional model of Arthur’s apartment is shown below.
A rectangular prism is shown. The base of the prism has dimensions of 13 feet by 25 feet. A rectangular prism is cut out of the side of the larger prism. The smaller prism has base dimensions of 5 feet by 11 feet.
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answer:
The total volume of the apartment is
✔ 2,160
An hourly rating of 2.5 BTUs per cubic foot is required, so
✔ multiply the total volume by 2.5
Arthur needs an air conditioner that will provide
✔ 5,400
BTUs to properly cool his apartment.
Step-by-step explanation:
you're welcome
Answer:
2,160
multiply the total volume by 2.5
5,400 BTUs
Step-by-step explanation:
cause said so
177*((177+(9-4+7)) +90/8=
Answer:
33464.25
Step-by-step explanation:
Using BODMAS : brackets, division, multiplication, addition
[tex]177\times ((177+(9-4+7)) +\frac{90}{8}\\\\177\times (177+12) +\frac{90}{8}\\\\177\times 189 +\frac{90}{8}\\\\\\177 \times 189 + 11.25\\\\33453 + 11.25\\\\33464.25[/tex]
Answer:
35444.25
Step-by-step explanation:
OFC by computing them
In circle N with m \angle MNP= 48m∠MNP=48 and MN=16MN=16 units find area of sector MNP. Round to the nearest hundredth.
Answer:
[tex]A=107 square\ unit[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]\angle MNP= 48m[/tex]
[tex]\angle MN=16 unit[/tex]
Generally the equation for Area of a sector A is mathematically given by
[tex]A=\frac{\theta}{360}*\pi*r^2[/tex]
[tex]A=\frac{48}{360}*3.14*16^2[/tex]
[tex]A=107.18 square\ unit[/tex]
[tex]A=107 square\ unit[/tex]
Answer:
10.4
Step-by-step explanation:
Area of sector=central angle/360(area)
=46/360(π5^2)
=10.04
What is the answer?
It says i should put it in the order and which one comes first
Answer:
B. -11
Step-by-step explanation:
ascending order means least to greatest.
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...
3, -1, [tex]\sqrt{5}[/tex], 13, -11
-11 is the least number because it is the greatest negative number
2hours to 1day as a ratio in its simplest form
Answer:
Step-by-step explanation:
convert 1 day into hours
1 day=24 hour
2/24
=1/12
1 day = 24 hours
So,
2 hours : 1 day2 hours : 24 hours1 : 12PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 =opposite /hypotenuse
1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)
24[tex]\sqrt{2}[/tex]=k
Please help with this homework
Answer:
Look below.
Step-by-step explanation:
1. 3000
2. 5000
3. 6000
4. 7000
Starting from left to right.
Which is the best estimate of 3.156 x 2.8 ?
Find the multiplicative inverse of -1 x -2/5
Answer:
Step-by-step explanation:
For the multiplicative inverse of a real number, divide 1 by the number. For example, the reciprocal of 5 is one fifth (1/5 or 0.2), and the reciprocal of 0.25 is 1 divided by 0.25, or 4.
For more help visit:
https://byjus.com/maths/multiplicative-inverse/
A teacher ask her pupils what there favorite school subject was 3 pupils said pe was there favorite subject how many pupil said maths was there favorite subject
I have added the complete question in the attachment
Answer:
15
Step-by-step explanation:
From the diagram in the attachment
27⁰ represents 3 pupils they love PE
135⁰ represents those that love mathematics. But the number was not given.
We have;
27⁰ = 3
135⁰ = ?
We cross multiply to find the unknown
135⁰x3 = 27⁰?
405 = 27⁰?
Divide through by 27
405/27 = ?
15 = ?
Therefore 15 pupils said mathematics was there favorite
Classify the triangle by its angle measures.
Answer:
d) Acute
Step-by-step explanation:
if all three angle measures are less than 90 degrees, the triangle is acute
G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m
Answer:
C. 600 m²
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.
The area of a parallelogram is the product of its base and its height. It is given by the formula:
Area = base * height
We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:
Area = base * height = 40 m * 15 m = 600 m²
HELP ASAP
a slice is made parallel to the base of a right rectangular pyramid, as shown.
What is the area of the resulting two-dimensional cross-section?
Enter your answer in the box.
Answer:
27.5cm^2
Step-by-step explanation:
you can cut the triangle to make two right triangles
so 11 is the height and the width is 2.5 since your cutting the triangle in half
so 11x2.5=27.5 since its a right triangle you have to divide by two 27.5/2=13.75
that's the answer for one of the triangles now multiply it by two since you need the two right triangle to make the other triangle so the answer is 27.5
5.
For which value of x is the row in the table of values incorrect? The function is the quadratic function y equals the quantity 3 divided by 4 end of quantity multiplied by x squared.
A. x = 3
B. x = 2
C. x = 0
D. x = 5
Answer:
B. x = 2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
check by substituting each given value of x into the function
x = 0 ⇒ y = × 0² = 0
hence (0, 0) is correct
x = 2 ⇒ y = × 4 = 3
hence (2, 4 ) is incorrect
x = 3 ⇒ y = × 9 = 6
hence (3, 6 ) is correct
x = 5 ⇒ y = × 25 = 18
hence (5, 18 ) is correct
please solve and find the value of x.
Answer:
28
Step-by-step explanation:
Diagonals of a rectangle are congruent and bisects each other. So, using this property and By exterior angle theorem:
2x° = 56°
2x = 56
x = 56/2
x = 28
Answer: x=28
Step-by-step explanation:
A line has to be 180 degrees
You have 56, so 180-55=124 degrees
Angles are parallel because of the two double curve line.
Now you have that one triangle with the angle of 124degrees and x degrees and the third angle is unknown.
You know that a triangle is 180 degrees
So 180-124=56 degrees
So the unknown angle and the x angle together have to equal 56 degrees.
Since both angles are the same all you do is 56/2.
Now x= 28degrees
Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
a. (-3, 4);r=3
b. (3,-4);r=3
c. (-3, 4);r=9
d. (3,-4);r=9
How to do this???? Pls
Answer:
a: 7
b:80
c: x-1^2-9=y
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alphaequals0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $65 comma 000 comma 000, $89 comma 000 comma 000, $51 comma 000 comma 000, and so on? Budget (x) 65 89 51 35 204 98 85
The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :
.
Question :
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42
a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0
ii) H_0: rho = 0, H_1: rho notequalto 0
iii) H_0: rho notequalto 0, H_1: rho = 0
iv) H_0: rho = 0, H_1: rho > 0
b. Construct a scatterplot. Choose the correct graph below.
c. The linear correlation coefficient r is.
d. The test statistic t is.
e. The P-value is.
Answer:
Pvalue > α ; Hence, we fail to reject the null.
Step-by-step explanation:
When testing for correlation :
Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.
1.)
H_0: rho = 0,
H_1: rho notequalto 0
2.)
Given the data :
Budget(x) : 61 92 48 36 135 58 93
Gross(y) : 69 62 53 58 627 144 42
Scatter plot is attached below
3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation
4.)
Test statistic :
T = r / √(1 - r²) / (n - 2)
r² = 0.751² = 0.564
T = 0. 751 / √(1 - 0.564) / (7 - 2)
T = 0.751 / 0.2952964
T = 2.543
E.)
Using the Value from Tscore calculator :
Pvalue(2.543, 5) ; two tailed
Pvalue = 0.0517
At α = 0.05;
Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.
what is oral traditions? don’t copy word to word from the internet
Answer:
, hope u understand and happy
Answer:
Oral traditions are things that have been passed down from generations, such as folktales, pieces of art, stories, and more
Step-by-step explanation:
Help me with this please
Answer:
F'
Your answer is correct
Step-by-step explanation:
The image most of the time we will put ' prime on it to let the other know that this is the image
Andrew pays $15 for a haircut . He leaves a 20% tip. What is the total amount andrew pays for the haircut, including the tip?
Answer:
$18.00
Step-by-step explanation:
Start by working out 10%, that's easy:
15 ÷ 10 = 1.5
That means a 10% tip would be $1.50, so a 20% tip would be twice that amount:
1.50 x 2 = 3
A 20% tip is $3.00, and added on to the original $15.00, the total is $18.00