Answer:
Value of θ [Angle of elevation] = 72.54°
Step-by-step explanation:
Given;
Length of foot ladder = 20 feet
Distance of foot from house (Base) = 6 feet
Find:
Angle of elevation
Computation:
Using trigonometry functions
Cos θ = Base / Hypotenuse
Cos θ = Distance of foot from house (Base) / Length of foot ladder
Cos θ = 6 / 20
Cos θ = 0.3
Cos θ = Cos 72.54
Value of θ [Angle of elevation] = 72.54°
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.
what is the length of the right triangle below in inches?
Answer:
6in
Step-by-step explanation:
Using the pythagerous thereom,
10^2 = 8^2 + b^2
b^2 = 10^2-8^2
b^2 = 100-64
b^2 = 36
b = 6
Feel free to mark this as brainliest :D
Answer:
6
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
?^2 + 8^2 = 10^2
?^2 +64 = 100
?^2 = 100-64
?^2 = 36
Take the square root of each side
? = sqrt(36)
?= 6
There are 20 music downloads in my phone. Eight of them are country and the rest are hip-hop. Find the ratio of country to hip-hop songs on my phone in simplest form.
Answer:
8:12
Step-by-step explanation:
you have 20 music downloads and you already told me that eight are country so you use 20 to minus eight and you get the number of hip-hop then you do the ratio which is 20 minus 8 is 12 ratio from country to hip hop is 8:12
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3
Answer:
I say A or B but in favor A
Step-by-step explanation:
The diagram shows a campground in the shape of a right triangle. You walk along a path from the camp office
at point c to your campsite at point D on a path that bisects the right angle C. Determine how far you are from
the picnic area at Point A to the nearest tenth of a meter.
Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.
Answer:
$3.60
Step-by-step explanation:
8 apples × 150 grams
1200 grams
1 kilogram = 1000 grams
x. = 1200 grams
X = 1.2 kg
1kg = $3.00
1.2kg =$3.6
The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Amy buys eight apples that each weigh 150 grams.
And, She notices that they are on sale for $3.00 per kilogram.
Now,
Total weight of the apples is,
⇒ 8 × 150 grams
⇒ 1200 grams
⇒ 1.2 kilograms
Since, She notices that they are on sale for $3.00 per kilogram.
Hence, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.00 × 1.2
⇒ $3.60
Thus, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
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The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the base of the parallelogram?
18.75 inches
25 inches
6.25 inches
12.5 inches
Answer:
12.5 inches is the correct answer.
Step-by-step explanation:
I can bet you with brainliest post if it is correct mark me brainliest and wrong then spam me(;
Rewrite 7 x 7 x 7 x 7 x 7 using an exponent math
Answer:
7^5 (7 to the fifth power)
Step-by-step explanation:
those sevens can be represented by 7^5 because there are five sevens to multiply together
you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807
and making sure that 7^5 is also equal to 16807, which it is.
Hope this helps! :)
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
permudahkan. 1. 3/4m (4m+16n) +m/n.
3/4m(4m+16n) + m/n open the bracket of equation,
3/4m(4m+16n) + m/n = 3+ 12n/m + m/n
now multiply and devide by mn on RHS,
3/4m(4m+16n) + m/n = (3mn+12n²+m²)/mn
Which is the best estimate of 3.156 x 2.8 ?
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
help please i need it
Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
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
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
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
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
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:
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 : 12Determine whether the relationship is a function or not. Explain why
why not!
Answer:
It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
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
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
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
What is the area of 9yd and 14yd
126 yards
Step-by-step explanation:
Nine times fourteen is one hundred and twenty six
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.
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PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answer:
[tex]31\:\text{square units}[/tex]
Step-by-step explanation:
We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).
Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]
Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]
Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]
Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]
Thus, the area of the entire figure is:
[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]
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
What is the y-intercept of the line shown?
69
5-
4
3-
2-
1-
0
-4
-3
- 2
0
1
2
3
4
5
3
4
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.