Answer:
h = 47.70 ft
The antenna is 47.70 ft tall.
Step-by-step explanation:
The height of the antenna is approximately 47.4ft when calculated using the Pythagorean theorem: √((50ft)^2 - (15ft)^2).
Explanation:The question is asking for the height of the antenna. We can solve this problem by using the Pythagorean theorem, which states that in a right triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the hypotenuse is the length of the cable (50 ft), one side is the distance from the base of the antenna to the anchor point (15 ft) and the other side (which we are trying to find), is the height of the antenna.
According to the Pythagorean theorem, the height of the antenna can be calculated as follows: Height = √(Hypotenuse^2 - Base^2), which translates into Height = √((50ft)^2 - (15ft)^2). When you calculate that you get the height of the antenna as approximately 47.4 feet, rounded to the nearest tenth.
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What is the period of the graphed function?
A. π
B. 0.75
C. 2 π
D. π/2
E. -0.75
Answer:
A. π
Step-by-step explanation:
this is a graph of a cosine function and and the interval during which it completes one cycle starting from the origin, according to the graph is π
What is the approximate area of the shaded sector in the circle shown below?
ANSWER
A. 17.31in²
EXPLANATION
The area of a sector is calculated using the formula:
[tex]Area = \frac{central \: angle}{360 \degree} \times \pi {r}^{2} [/tex]
From the diagram, the central angle is:
145° and the radius is 3.7 in.
We substitute the known values to get;
[tex]Area = \frac{145}{360 \degree} \times 3.14 \times {3 .7}^{2} = 17.3{in}^{2} [/tex]
The approximate area is 17.3 in² to the nearest tenth.
When solving a quadratic in the form ax^2+bx+=0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables
Answer:
Step-by-step explanation:
zeros
Answer:
the answer is variables.
Shannon has 3 dogs. she buy a 40-pound bag of dog food. if Shannon splits the food evenly among the dog, how much dog food will each dog receive?
Answer:
C
Step-by-step explanation:
Answer:
Each dog will receive 13 1/3 pounds (Answer C)
Step-by-step explanation:
To find the answer you have to divide the 40 pounds evenly between 3 dogs so the equation is x=40 pounds /3 dogs, which simplifies to 13 and 1/3 pounds which is answer C.
Hope This Helps. :)
A pizza parlor uses 42 tomatoes for each batch of tomato sauce about how many batches of sauce can the pizza parlor make from its last shipment of 1,236 tomatoes
Answer:
about 29
Step-by-step explanation:
You just need to divide 1,236 by 42, which equals = 29.4
The pizza parlor can make 29 full batches of tomato sauce from its last shipment of 1,236 tomatoes by dividing the total number of tomatoes by the number of tomatoes required for a single batch.
The question asks, how many batches of sauce can the pizza parlor make from its last shipment of 1,236 tomatoes if a single batch requires 42 tomatoes. To find the answer, we need to divide the total number of tomatoes by the number of tomatoes needed for a single batch.
Step-by-step calculation:
Identify the total number of tomatoes: 1,236.Identify the number of tomatoes needed for one batch: 42.Divide the total number of tomatoes by the number required per batch: 1,236 tomatoes ÷ 42 tomatoes per batch = 29.4285714286 batches.Since the pizza parlor cannot make a fraction of a batch, it can make 29 full batches of tomato sauce from its last shipment of 1,236 tomatoes.
What is the volume of the cone with radius 4 feet in height 10 feet round to the nearest cubic foot
Answer:
168 cubic feet.
Step-by-step explanation:
Equation for volume of cone 1/3*pi*r2*h (abbreviated as 1/3*b*h)
1/3*pi*4^2*10
=1/3*pi*16*10
=1/3*pi*160
=167.551608191
~=168 cubic feet.
~= is approximately, rounded.
The volume of the cube is 168 cubic feet.
Given information:radius 4 feet in height 10 feet
Calculation of volume of cone:Since the volume of a cone is
[tex]= 1\div 3\times \pi\times r^2\times h\\\\= 1\div 3\times \pi\times 4^2\times 10\\\\=1\div 3\times pi\times 16\times 10\\\\=1\div 3\times \pi\times 160[/tex]
=167.55
= 168 cubic feet.
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PLZ HELP ME FAST HURRY
Answer:
Power: (1/5)^3, 2^6
Expanded: 5x5, 6x6x6, 3x3x3/4, 2x2x2x2x2x2
How to say it: 5 raised to the 2nd power, 6 raised to the 3rd power, 3 raised to the 3rd power over 4
Value: 25, 216, 1/125, 9/4, 64
Step-by-step explanation:
Need help with 18- 23 . I tried doing them but come up with different answers not on the paper
18. 2/7 or b
19. 3/4 or b
20. Unable to see
21. 9/20 or a
22. 1/4 or a
23. 27/35 or b
Which data set COULD NOT be represented by the box plot shown?
A) {9, 8, 9, 6, 12, 10, 13}
B) {14, 8, 12, 10, 9, 12, 4}
C) {4, 9, 8, 11, 10, 12, 14}
D) {4, 8, 8, 11, 10, 12, 14}
Answer:
C) {4, 9, 8, 11, 10, 12, 14}
Step-by-step explanation:
Answer:
{9, 8, 9, 6, 12, 10, 13}
Step-by-step explanation:
Write the data in numerical order. Find the first quartile, the median, the third quartile, the minimum (smallest value) and the maximum (largest value).
{6, 8, 9, 9, 10, 12, 13}
Thus,
low -- 6
1st quartile -- 8
median -- 9
3rd quartile -- 12
high -- 13
Therefore, this data does not match the graph.
A cylindrical plastic pipe’s length is 12 cm and it’s radius is 2.5 cm. To the nearest tenth, what is the volume of the pipe?
Answer:
V = 235.6 cm³
Step-by-step explanation:
the formula for the volume of a cylinder of radius r and length h is
V = πr²h.
Here, r = 2.5 cm and h = 12 cm, so the volume is:
V = π(2.5 cm)²(12 cm) = 75π cm³
To the nearest tenth, this volume would be V = 235.6 cm³
Answer:
volume = 235.7 cm³
Step-by-step explanation:
To find the volume of the cylindrical plastic pipe, we simply use the formula:
volume of a cylinder = π r ² h
where r is the radius , and h is the height
From the question above, radius r = 2.5cm h =12 cm and π is a constant which is always equal to [tex]\frac{22}{7}[/tex] unless specified otherwise.
Now all we need to do is to insert our values into the formula;
volume of a cylinder = π r ² h
volume of a cylinder = [tex]\frac{22}{7}[/tex] × 2.5² × 12
= [tex]\frac{22}{7}[/tex] × 6.25 × 12
= [tex]\frac{1650}{7}[/tex]
= 235.714
≈235.7 cm³ to the nearest tenth
Therefore the volume of the cylindrical plastic pipe is 235.7 cm³
While drying, apple loses 14% of its weight. How many pounds of fresh apple is needed to get 10 8/25 lbs of dried apple?
Answer:
12lbs
Step-by-step explanation:
let x be the amount of apples you need, then:
x-0.14x= 10 8/25
0.86x = 10 8/25
(10 8/25) : 86 * 100 = x
x=12
Answer:
Total fresh apple needed = 12
Step-by-step explanation:
It is given that, While drying apple loses 14% of its weight
To find the fresh apple needed
Let x be the total fresh apple needed.
Apple loses 14% of its weight. Final we need 10 8/25 lbs of dried apple
x - 14x/100 = 10 8/25
0.86x = 10 8/25
0.86x = 258/25 = 10.32
x = 12
Can someone help me with this?
Answer:
E. 0.6
C -1/10
A -4/5
B -0.5
F 9/10
D 1/5
Step-by-step explanation:
A single Rhinovirus is 2 × 10-8 meters long, and a single E. coli bacterium is 2 × 10-6 meters long. How many times larger is an E. coli bacterium than a Rhinovirus?
Multiply it by using scientific notation then multiply 2X0.00000010 and compare it to the coil which is 2X0.000010
Answer:
E coli bacterium is 200times larger than Rhinovirus
Step-by-step explanation:
Length of a single Rhinovirus is 2×10^-8m
Length of E coli bacterium is 2×10^-6m
This shows that E coli is larger than Rhinovirus.
To determine the number of times the E. coli bacterium is larger than a Rhinovirus, we will divide the length of E coli bacterium by that of single Rhinovirus to have:
2×10^-6/2×10^-8
= 2×10^(-6-(-8))
= 2×10^-6+8
= 2×10²
= 200
This shows that E coli bacterium is 200times larger than Rhinovirus
The ratio of 42cm to 3m
Answer:
7:50
Step-by-step explanation:
We need both measures in the same units. Let's convert meters to cm.
1 m = 100 cm, so 3 m = 300 cm
Now we write the ratio and reduce it.
42 cm to 3 m =
= 42 cm to 300 cm
= 42:300
= 14:100
= 7:50
Brett painted three walls. Each wall was 9 ft tall and 12 ft long. How much wall area did he paint
Answer:
First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:
A = wl = 9 . 12 = 108 (ft²)
We also know that he painted 3 walls, we need to multiply our first result by 3, in other words, the area of wall that Brett painted is the sum of the area of three walls: 108 . 3 = 324 (ft²)
Answer:
324 ft^2
Step-by-step explanation:
ok so to calculate the area its A = wl (width x length)
9 x 12 = 108 ft^2
buuuuuut since we have 3 walls were going to have to multiply it by three as cuz 108 ft^2 is the outcome of one wall
108 ft x 3 = 324 ft^2
~batmans wife dun dun dun....
Solve 3^x+1 = 15 for x using the change of base formula log base b of y equals log y over log b
Answer:
x= 1.46497
Step-by-step explanation:
[tex]3^{x+1} = 15[/tex]
To solve this , first we convert the exponential form in to log form
[tex]if \ a^x=b \ then \ log_a(b)=x[/tex]
[tex]3^{x+1} = 15[/tex] becomes [tex]log_3(15)= x+1[/tex]
now we apply change of base formula to remove base 3
[tex]log_b(y)= \frac{log y}{log b}[/tex]
like that log_3(15) becomes
[tex]log_3(15)= \frac{log 15}{log 3}[/tex]
[tex] \frac{log 15}{log 3}= x+1[/tex]
2.46497=x+1
subtract 1 from both sides
x= 1.46497
Answer:
The value of x is 1.46.
Step-by-step explanation:
Given : Equation [tex]3^{x+1}=15[/tex]
To find : Solve for x using the change of base formula log base b of y equals log y over log b ?
Solution :
Equation [tex]3^{x+1}=15[/tex]
Applying the logarithmic property,
[tex]a^x=b\Rightarrow \log_a(b)=x[/tex]
[tex]3^{x+1}=15\Rightarrow \log_3(15)=x+1[/tex]
Applying change base formula in LHS,
[tex]log_b(y)= \frac{log y}{log b}[/tex]
[tex]\frac{log 15}{log 3}=x+1[/tex]
[tex]2.46=x+1[/tex]
[tex]x=2.46-1[/tex]
[tex]x=1.46[/tex]
Therefore, the value of x is 1.46.
ray is 3 years older than half his sosters age if ray is 10 years old how old is his sister
Answer:
14 years old
Step-by-step explanation:
Assume Ray's sister's age is x.
Ray's age is (x/2)+3, i.e (x+6)/2
If Ray is 10yrs old,then
(X+6)/2 = 10,
x+6 = 20
x = 14
Therefore,Ray's siSter's /e is 14years
Plz help me with this
Answer: d) y = -2 sin 2x
Step-by-step explanation:
The general equation of a sin graph is: y = A sin (Bx - C) + D
Compare the given graph with y = sin x
There are 3 differences:
the amplitude of the new graph is 2 (A = 2)the given graph is reflected over the x-axis (A is negative)the period changed from 2π to π (B = 2)So, the equation of the given graph is: y = -2 sin 2x
What is the answer for this question this math question
A (2, -3/2) baisicly it is is a line and it is vertical so this one is more easy.
Answer:
I believe its A.
Step-by-step explanation:
help me thx if u do <3 :3
Answer:
The answer is x=40
Step-by-step explanation:
Answer:
It's x = 40 that's correct.
In this case, we're looking for a number that is higher than 10. We can't say 29, 37 or 47 but 40
Step by step explanation:
x / 4 > 10
Carry over the 4 and you'll get 4 × 10 -> x = 4 × 10 = 40
Therefore x = 40
What is the messure of angle 4
Answer:
m∠4 = 40°
Step-by-step explanation:
Using the vertical angle theorem we can find that...
m∠6 ≅ m∠7
[tex]11x+8=12x-4 \\ \\ x=12[/tex]
[tex]11(12)+8 \\ 132+8 \\ 140[/tex]
Using this, we know that angle 6 and 8 are supplementary so...
m∠6 + m∠8 = 180°
140° + m∠8 = 180°
m∠8 = 40°
Then, we can use the corresponding angle theorem to find that...
m∠8 ≅ m∠4
m∠4 = 40°
the measure of angle 4 is 40
The accompanying diagram shows a ramp 30 feet
long leaning against a wall at a construction site.
Wall
If the ramp forms an angle of 32° with the ground,
how high above the ground, to the nearest tenth, is
the top of the ramp?
Using the law of Sin
[tex]\frac{sinA}{a} \frac{sinC}{c}[/tex]
A=32°, a=?
C=90°, c= 30
[tex]\frac{sin32°}{a} = \frac{sin90°}{30}[/tex]
[tex]\frac{30sin32°}{sin90°}[/tex] = 15.89ft
Rounded answer is 15.9 ft
The height should be 15.89 ft.
Given information:The accompanying diagrams hows a ramp 30 feet long leaning against a wall at a construction site. And, the ramp forms an angle of 32°
Calculation of height:Here we applied the law of sin
[tex]sin 32 \div a = sin 90 \div 30\\\\a = 15.89 ft[/tex]
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Can someone please help me on my math homework
The solution is attached below
F(x) = x^2. What is g(x)?
Answer:
The correct answer is C. g(x) = 1/4x^2
Step-by-step explanation:
In order to determine if the graph fits, take the point that is given on the parabola and see if it fits the equation. To do that we plug it in and see if it gives a true statement.
(2, 1)
g(x) = 1/4x^2
1 = 1/4(2)^2
1 = 1/4(4)
1 = 1 (TRUE)
Answer:
C, g(x) = 1/4x²
Step-by-step explanation:
the parent function of g(x) is the function f(x) = x² as shown on the graph
with the coefficient 1/4 in front of the parent function, we can determine its transformation.
it is a vertical shrink by 1/4 of the original graph. the reason why we know this is because a vertical shrink/stretch has a coefficient on the outside of the parent function (as shown in g(x)) and if we follow the rule:
b > 0 < this is a vertical stretch
b < 0 < this is a vertical shrink
b in this function is 1/4, which is less than 0
Which is a possible expression for the series
-7+12-17+22-27
Answer:
∑5n=(−1)^n(2+5n)
Hope this helps you out!
the cost of 3 large drinks and 2 small drinks does $21. for $22, you can get 2 large drinks and 4 small drinks. what is the cost of each drink of the size of drinks?
Answer:
The cost of large drinks are $5 and the small drinks are $3
Step-by-step explanation:
5+5+5+3+3=21
(2)5+(4)3)=22
Answer:This answer is not copied
Step-by-step explanation:5+5+5+3+3=21
(2)5+(4)3)=22
(ASAP PICTURE ADDED) What is the simplified form of the following expression?
Answer:
option c is correct.
Step-by-step explanation:
[tex]7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{16x}\right)-3\left(\sqrt[3]{8x}\right)[/tex]
WE need to simplify this equation.
Solve the parenthesis of each term.
[tex]=7\left\sqrt[3]{2x}\right-3\left\sqrt[3]{16x}\right-3\left\sqrt[3]{8x}\right[/tex]
Now, We will find factors of the terms inside the square root
factors of 2: 2
factors of 16 : 2x2x2x2
factors of 8: 2x2x2
Putting these values in our equation:[tex]=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2X2 x}\right)-3\left(\sqrt[3]{2X2X2 x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2X2X2} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3] {2 x}\right)-3\left(\sqrt[3]{2^3} \sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2x}\right)-3*2\left(\sqrt[3] {2 x}\right)-3*2\left(\sqrt[3]{x}\right)\\=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)[/tex]
Adding like terms we get:
[tex]=7\left(\sqrt[3]{2}\sqrt[3]{x}\right)-6\left(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right\\=(\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\[/tex]
[tex](\sqrt[3] {2}\sqrt[3]{x})-6\left(\sqrt[3]{x}\right)\\can\,\,be \,\, written\,\, as\,\,\\(\sqrt[3] {2x})-6\left(\sqrt[3]{x}\right)[/tex]
So, option c is correct
What that person said so basically C
What’s three points that satisfy the system of inequality’s of 4x+6y<24
Answer:
(0,0), (1,1), (2,2)
Step-by-step explanation:
When testing to find possible points in situations like this, I always start by testing with the origin point (0,0).
In this case:
4x+6y<24 ==> 0 + 0 < 24 TRUE, it satisfies the inequality.
We then try with (1,1):
4x+6y<24 ==> 4 + 6 < 24 TRUE, it satisfies the inequality.
And with (2,2):
4x+6y<24 ==> 8 + 12 < 24 TRUE, it satisfies the inequality.
jordan is making a model of Mount Saint Helens for a science project. The height of the actual volcano is about 2,500 meters. She uses a scale of 250 meters equals one centimeter. What is the height of the volcano in Jordan's model?
Answer: 10 centimeters
Step-by-step explanation:
Answer: 80.0 cm^2
Step-by-step explanation:
We need to assume that the shape of the model is a cone or pyramid, something that tapers linearly to a point. Then its volume is given by the formula ...
V = 1/3Bh
where B is the area of the base, and h is the height. Filling in the given numbers, we have ...
586.7 = (1/3)B(22)
Dividing by the coefficient of B gives ...
B = 3(586.7)/22 = 80.0 . . . cm^2
The area of the base of the model is about 80.0 cm^2.
To find the letters
Answer:1, -1,3,-7
Step-by-step explanation:
For this case we must subtract the given matrices and find the values of a, b, c and d:
Subtracting term from term we have:[tex]a = 5-4 = 1\\b = 2-1 = 1[/tex]
We have that different signs are subtracted and the sign of the major is placed.
[tex]c = 3-6 = -3\\d = 0-7 = -7[/tex]
Answer:
[tex]a = 1\\b = 1\\c = -3\\d = -7[/tex]