Explanation:
For any 45-45-90 triangle, if each leg is x units long, then the hypotenuse is x*sqrt(2) units long. Comparing that with 16*sqrt(2) must mean x = 16.
From a point 235 meters from the base of a cliff, the angle of elevation to the cliff top is 25 degrees. Find the height of the cliff.
please provide a diagram and step by step answers thanks
Answer:
X=110
Step-by-step explanation:
The height of the cliff is 109.58 meters.
What is Angle of Elevation?Angle of elevation is the angle which is between a horizontal line and the line of sight which is pointed upwards.
Given that,
We get a right angled triangle ABC where A represents the base of the cliff and C is the point of the top of the hill.
B is the point which is at a distance of 235 meters from the base of a cliff.
Length of AB = 235 meters
Angle of elevation to the cliff top, ∠B = 25 degrees
AC represents the height of the cliff. Let it be x.
Using the trigonometric ratio,
tan B = AC / AB
tan 25 = x / 235
x = 235 × tan 25
= 109.58 meters
Hence the height of the cliff is 109.58 meters.
Learn more about Angle of Elevation here :
https://brainly.com/question/21137209
#SPJ2
A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify
Answer: 800 more hours is required to fly an aircraft
Step-by-step explanation:
You are making a sandwich. You need lettuce, tomato, and two slices of bread to make the sandwich....
L = lettuce. T = Tomato. B = Bread. S = Sandwich
Vegetables ( Lettuce and tomato) are $2 a piece. Bread is $1 a slice.
The cost of a sandwich can be represented by the equation: {L+T+B+B = S.}
1.) Write another equation you could use to show the cost of a sandwich. (hint: add then multiply)
2.) Figure out the cost of a sandwich (Solve for S).
Answer:
[tex]1. l + t + 2b = s \\ 2 + 2 + 2(1) = 6 \\ [/tex]
the cost of sandwich is $6
Select the answer with the correct number of significant figures for each calculation. 31.580 + 4.26 = 35.8 35.84 35.840
Answer:
35.84
Step-by-step explanation:
NO LINKS OR FILES PLEASE. A charity fundraiser charges 779 dollars per plate. If there are 87 guests at the fundraiser, how much money did they earn?
Answer:
They would earn 67,773 dollars!! Hope this helped u!! ;)
Step-by-step explanation:
You times 779 times 87 = 67,773
Answer:
$67773
Step-by-step explanation:
Your equation would be 779 * 87 = 67773 because for each person they are going to charge 779 dollars and there are 87 people.
A=[2 3) B=(1 2) find AB
[0 8) (2 -1)
Answer: To find the product of two matrices A and B, we must use the matrix multiplication rules.
Matrix A is a 2x2 matrix with values [2 3; 4 5] and matrix B is a 2x2 matrix with values [1 2; 3 4].
The result of matrix multiplication, AB, will also be a 2x2 matrix.
To find each element in the resulting matrix, we take the dot product of the corresponding row in matrix A and column in matrix B.
The first element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the first column in matrix B:
(21) + (33) = 2+9 = 11
The second element in the resulting matrix AB, is found by taking the dot product of the first row in matrix A and the second column in matrix B:
(22) + (34) = 4+12 = 16
The third element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the first column in matrix B:
(41) + (53) = 4+15 = 19
The forth element in the resulting matrix AB, is found by taking the dot product of the second row in matrix A and the second column in matrix B:
(4*2)
Step-by-step explanation:
The piggy bank has 71 dimes and quarters with a
value of 12.35 dollars. How many of each coin are there
Answer:
35 Quarters and 36 Dimes
Step-by-step explanation:
d + q = 71
10 + 25 = 1235
10 x 36 = 360
25 x 35 = 875
360 + 875 = 1235
Answer:
There are 35 quarters and 36 dimes.
Step-by-step explanation
x = the number of quarters
y = the number of dimes
x + y = 71
0.25x + 0.1y = 12.35 ---> multiply this equation by 100
now...
25x + 10y = 1235
x + y = 71 ----> multiply this equation by -25
25x + 10y = 1235
-25x - 25y = -1775
[tex]\frac{-15}{-15} = \frac{-540}{-15}[/tex]
y = 36 dimes
next step
x + y = 71
x + 36 = 71
- 36 - 36
x = 35 quarters
please help me i need it
Select each equation that the number 10^3 makes true.
6.01 x
= 601
O 0.305 x
= 305
0.54 x
= 540
O 0.097 x
970
0.97 x
= 97
All of the equations which the number 10³ makes true include the following:
B. 0.305 × __ = 305
C. 0.54 × __ = 540
How to determine the true equations?In this exercise, you are required to determine the equations which the number 10³ makes true. This ultimately implies that, we would substitute the number 10³ into each of the given equations as follows;
6.01 × 10³ = 601
By expanding the exponent, we have the following equation:
6.01 × 1,000 = 601
6010 = 601 (False).
0.305 × 10³ = 305
By expanding the exponent, we have the following equation:
0.305 × 1,000 = 305
305 = 305 (True).
0.54 × 10³ = 540
By expanding the exponent, we have the following equation:
0.54 × 1,000 = 540
540 = 540 (True).
0.097 × 10³ = 970
By expanding the exponent, we have the following equation:
0.097 × 1,000 = 970
97 = 970 (False).
Read more on equation here: brainly.com/question/28949611
#SPJ1
A company is producing picture frames as well as the glass for the front of the frames. The amount of wood required
for the frame is represented by the function W/(x), and the amount of glass is represented by the function G(x). The
frames have lengths represented by the function f(x) and widths represented by g(x).
X
2
3
4
5
W(x)=2[(f+g)(x)]
14
24
34
44
G(x) = (f-g)(x)
6
27
60
105
Which statement describes the combined functions W(x) and G(x)?
O The amount of glass required has a constant rate of change, but the amount of wood does not.
O The amount of wood required has a constant rate of change, but the amount of glass does not.
O Both the amount of wood required and the amount of glass required have a constant rate of change.
ONeither the amount of wood required nor the amount of glass required has a constant rate of change.
Answer:The combined functions W(x) and G(x) represent the amount of wood and glass required to produce a picture frame. Based on the information provided,
W(x)= 2[(f+g)(x)] and G(x) = (f-g)(x)
By looking at the values of the given table, it can be observed that the rate of change in the amount of glass required (G(x)) is not constant, it increases as x increases.
On the other hand, the rate of change in the amount of wood required (W(x)) is not constant as well, it increases as x increases too.
It's not mentioned any information about constant rate of change for f and g.
Therefore, the correct statement that describes the combined functions W(x) and G(x) is: "Neither the amount of wood required nor the amount of glass required has a constant rate of change."
It's important to mention that the problem provided does not have a unique solution, because the values for f and g are not defined so it's not possible to infer their behaviour over time.
It is only possible to infer the behaviour of the functions W(x) and G(x) given the information provided, and it is clear that the rate of change for both functions does not remain constant, but it increases as x increases.
Step-by-step explanation:
M/5 + 9=11
Solve two step equations
Answer:
m=10
Step-by-step explanation:
m/5+9=11 subtract 9
m/5 = 2 multiply 5 by both sides
m = 10
Jahnay is following this recipe to make cakes. Jahnay uses 780 g of butter. How many cakes is Jahnay making? Recipe: Makes 1 Cake 120 g sugar 130 g butter 260 g flour 3 eggs
Jahnay is making 6.5 cakes from the given ingredients.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Recipe: Makes 1 Cake = 120 g sugar + 130 g butter + 260 g flour + 3 eggs.
Jahnay is following this recipe to make cakes.
Jahnay uses 780 g of butter.
To find the number of cakes:
Use division operation,
780 ÷ 120,
= 780/120
= 78/12
= 6.5
Therefore, Jahnay makes 6.5 cakes.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Which expression is equivalent to 4y^6+8y^4/2y^2, if y does not equal 0?
A. 2y^3+4y^2
B. 2y^4+4y^2
C. 1/2y^3+4y^2
D. 1/2y^4+4y^2
9514 1404 393
Answer:
The correct answer choice is marked
Step-by-step explanation:
The distributive property can be used here.
[tex]\displaystyle \frac{4y^6+8y^4}{2y^2}=\frac{4y^6}{2y^2}+\frac{8y^4}{2y^2}=2y^{6-2}+4y^{4-2}=\boxed{2y^4+4y^2}[/tex]
A box contains 3 plain pencils and 9 pens. A second box contains 9 color pencils and I crayon. One item from each box is chosen at random. What is the
probability that a pen from the first box and a crayon from the second box are selected?
Write your answer as a fraction in simplest form.
Write an equation of a line that is perpendicular to 6x - 3y = -6 and passes
through the point (-12, 14).
I'm sorry but I didn't get that
Ricky went to sleep at 9:45 pm and woke up at 6:30 the next morning. For how long did he sleep?
Answer:
8 hours and 45 minutes.
Step-by-step explanation:
-5b + 35 = 85
Help pls
Answer:
-10
Step-by-step explanation:
-5b + 35 = 85
-5b = 50
-5b/-5 = 50/-5
b = -10
Answer:
B = -10
Step-by-step explanation:
-5b + 35 = 85
work is shown in picture
Find the volume of the cone. Round your answer to the nearest hundredth
Answer:
[tex]V=8042.47\ cm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the cone, r = 16 cm
The height of the cone, h = 30 cm
The slant height of the cone, l = 34 cm
We need to find the volume of the cone. The formula for the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
Put all the values,
[tex]V=\dfrac{1}{3}\times \pi \times (16)^2 \times 30\\\\V=8042.47\ cm^3[/tex]
So, the volume of the cone is equal to [tex]8042.47\ cm^3[/tex].
There are 14 math teachers and 26 science teachers at school today. What is the ratio of math teachers to math and science teachers at school?
Answer:
SEE EXPLANATION
Step-by-step explanation:
Add all amount of teachers together
14+26 = 40
14:40
Simplified: 7/20 or 7:20
Ratios are just like fractions and can usually be put in this format
Answer:
7:20
Step-by-step explanation:
14+26=40
40 equals the total amount of teachers. Since we want to do the ratio of math teachers to the total of all teachers, we had to find 40.
You get 14:20 though if you want to simplify, find to common denominator (2) and dived both sides by it.
14/2 = 7
40/2 = 20
= 7:20
(101,2,108,104,102,107,109,102) what is the best measure of center for this data set
Answer:
q02 because it is showed the most times
Which of the following is equal to the expression listed below?
27 + 36
A.
9 + (3 × 4)
B.
(9 + 3)(9 + 4)
C.
9(3 + 4)
D.
(9 × 3)(9 × 4)
I really need help with this omg
Answer:
its d kkkkkkkkkkkkkkkkkkkkkk
TEXT ANSWER
How can you use the unit price to find the cost of 10
pounds of tomatoes? Please help
To find the cost of 10 pounds of tomatoes, multiply 10 by the unit cost of tomatoes.
What is the unit cost?
The cost a business incurs to create, store, and sell one unit of a specific product is known as the unit cost. All fixed and variable production expenses are included in unit costs. Cost units are a way to measure the quantity of a good or service.
Unitary method: The unitary method is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
The unitary method is used to find the unit cost of an object.
To find the cost of a unit object, multiply a by unit cost.
Given that, the unit cost of a unit pound of tomatoes.
The cost of 10 pounds of tomatoes is 10 × unit price of tomatoes.
To learn more about unit price, click on the below link:
https://brainly.com/question/20534957
#SPJ1
4.
At Juicy Deals grocery store, 4 oranges
cost $7.00. You can buy 7 oranges
for $12.50.
Is the relationship between the number of
oranges and their price proportional?
Explained step by step please
Answer:
True
Step-by-step explanation:
Let's call
x: number of oranges
y: price
The relationship between x and y is proportional if they fulfill the following condition.
y / x = k
where,
k is a proportionality constant
Then,
6 / 4 = 15 / 10 = 1.5
Since x and y fulfill the condition, they have a relationship of proportionality.
a line has a slope of 5. it passes through the points (-5, -1) and (x, 9). what is the value of x?
A line has a slope of 5. it passes through the points (-5, -1) and (x,9) than the value of x is -3
We are going to use the fact that when a line passes through two points : [tex](x1,y1) and (x2,y2)[/tex]
the slope is given by the following formula:
[tex]slope=y2-y1/x2-x1[/tex]
In the present case, the slope is 5 and the points are (-5, -1) and (x, 9)
Hence,
[tex]5=9-(-1)/x-(-5)[/tex]
[tex]5=10/x+5\\x+5=10/5\\x+5=2\\x=-3[/tex]
Thus, the value of x is -3 when it travels between the coordinates (-5, -1) and (x, 9).
Learn more about the slope formula here:https://brainly.com/question/24092749
Please help me guys also i would like the answer to be type out instead of a pic of it alot more easier for me thanks
Answer:I think it’s 10718.571428571 but rounded to a tenth it’s 10724.6
Step-by-step explanation: 10,150+10211+10424+10769+10844+11155+11477 divided by 7 equals 10718.571428571 or 10724.6.
when a positive integer was multiplied by each of its digits, the product was 1995. Find the original number.
Answer:
57
Step-by-step explanation:
You want a positive number that gives a product of 1995 when it is multiplied by each of its digits.
NumberThe prime factors of 1995 are 3, 5, 7, 19. The product of 3 and 19 gives 57, so multiplying 57 by 5 and 7 will result in the product 1995.
The original number is 57.
<95141404393>
Find f(5): x2 + x + 5
Answer:
20
Step-by-step explanation:
Miguel rode his bike to work which was 15 miles from home. However he was too tired to ride back so he got a ride in a
car from a co-worker. He spent a total of 2 hours traveling. The average speed of traveling by car was 3 times faster
than on his bike. What was Miguel's average speed on his bike and in the car?
Answer:
Bike: 10 miles per hour
Car: 30 miles per hour
Step-by-step explanation:
He spent: 2h/(1+3) = 0,5h by car and 0,5h x 3 = 1,5h by bike
The car is: 15 miles/ 0,5h = 30 miles/h
The bike is: 15 miles/ 1,5h = 10 miles/h
Block B
0 1 2 3 4 5 6
Each dot on the dot plot represents one household on the block. The numbers represent how many mobile devices are in the
households. When comparing the data sets, which TWO statements are correct?
A)
The number of devices per household varies more on Block B
B)
The median number of devices for Block A and Block B is 5.
Each block has 35 devices.
D)
The greatest number of devices in one household is 6.
E)
The least number of devices in one household is 1
Answer:
a and d
Step-by-step explanation:
Statements the number of devices per household varies more on Block B and the least number of devices in one household is 1 are true.
What is a dot plot?A dot plot, also known as a strip plot or dot chart, is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis. These types of charts are used to graphically depict certain data trends or groupings.
Block A:
Number of mobile devices are 15.
Greatest number of devices are 5 and the least number of device is 1.
Median is 3.
Block B:
Number of mobile devices are 15.
Greatest number of devices are 4 and the least number of device is 1.
Median is 2.
Therefore, statement A and E are correct.
Learn more about the dot plot here:
brainly.com/question/22746300.
#SPJ6