Answer:
Two possible lengths for the legs A and B are:
B = 1cm
A = 14.97cm
Or:
B = 9cm
A = 12cm
Step-by-step explanation:
For a triangle rectangle, Pythagorean's theorem says that the sum of the squares of the cathetus is equal to the hypotenuse squared.
Then if the two legs of the triangle are A and B, and the hypotenuse is H, we have:
A^2 + B^2 = H^2
If we know that H = 15cm, then:
A^2 + B^2 = (15cm)^2
Now, let's isolate one of the legs:
A = √( (15cm)^2 - B^2)
Now we can just input different values of B there, and then solve the value for the other leg.
Then if we have:
B = 1cm
A = √( (15cm)^2 - (1cm)^2) = 14.97
Then we could have:
B = 1cm
A = 14.97cm
Now let's try with another value of B:
if B = 9cm, then:
A = √( (15cm)^2 - (9cm)^2) = 12 cm
Then we could have:
B = 9cm
A = 12cm
So we just found two possible lengths for the two legs of the triangle.
Rocky purchased a guitar and Guitar Mart that was originally priced at $145.00. After tax, the final cost was $152.25. What was the percent of tax?
Given:
Original price = $145.00
Final cost = $152.25
To find:
The percent of tax.
Solution:
The formula for tax is:
Tax = Final cost - Original price
[tex]\text{Tax}=\$152.25-\$145.00[/tex]
[tex]\text{Tax}=\$7.25[/tex]
Formula for tax percentage is:
[tex]\text{Tax percent}=\dfrac{\text{Tax}}{\text{Original price}}\times 100[/tex]
[tex]\text{Tax percent}=\dfrac{7.25}{145.00}\times 100[/tex]
[tex]\text{Tax percent}=\dfrac{725.00}{145.00}[/tex]
[tex]\text{Tax percent}=5[/tex]
Therefore, the percent of tax is 5%.
Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was complete. How long would it take each plumber to do the whole job by himself if it is known that the first plumber would take 5 more hours to finish the job than the second plumber?
Answer:
Which subject is optional in the morning??
Pythagorean Theorem finding value in x
Answer:
14.4 is the value of x in the nearest tenth
Step-by-step explanation:
c^2=a^2+b^2
need help asap! will give brainliest!
Answer:
x = 9
Step-by-step explanation:
tan 53° = 12/x
x = 12/tan 53°
x = 9.04
2. Order these numbers from least to greatest: 5,0,1,-15-3,-1
Answer:
Step-by-step explanation:
- 15, -3, -1, 0 , 1, 5
Answer:
-15,-3,-1,0,1,5
Step-by-step explanation:
PELASE HELP MEEEEE I REALLY NEED HELP
Answer:
2. 7238.23 mm
3. 55.42 ft
4. 703.86 ft
Step-by-step explanation:
Answer:
1. 7234.56mm^2 2. 55.39ft^2 3. 706.5ft^2
Is this correct??????????
Answer:
looks right
Step-by-step explanation:
Drag each function to the correct location on the chart. Classify the functions as continuous and discontinuous functions. If a function is discontinuous, categorize it based on the type of discontinuity it exhibits.
Answer:
Continuous: g(x) and j(x)
Removable: h(x) and m(x)
Infinite: f(x) and i(x) and k(x)
Jump: l(x)
Step-by-step explanation:
Continuous: g(x) and j(x), Removable: h(x) and m(x), Infinite: f(x) and i(x) and k(x) & Jump: l(x)
What is the type of functions?A function is a relation among a fixed of inputs and a fixed of permissible outputs with the belonging that each input is associated with exactly one output. permit A & B to be any non-empty units, mapping from A to B might be a feature most effective while every detail in set A has one give up handiest one picture in the set.
The eight sorts are linear, strength, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal.
One to 1 characteristic or one to at least one mapping states that each detail of one set, say Set is mapped with a completely unique element of another set, say, Set in which A and B are distinctive units.
f(x) = f(y) implies x then f is one to at least one.
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hurry plzzzzzzzzzzzzzzzz
Answer:
D
Step-by-step explanation:
What is the slope-intercept equation of the line below?
HELP PLS
Answer:
y = -5/4x + 3
Step-by-step explanation:
ASAP PLEASE
question is in the picture
Answer:
5040
Step-by-step explanation:
-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320
40320 ÷ 8 = 5040
(not 100% sure this is right)
Which angles are vertical angles?
Answer:
<BFC and <DCA
Step-by-step explanation:
Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex
Which best describes the effect of translating the equation y=1/2x+8 up or down the y axis?
Answer:
Option B, the y-intercept changes
Explanation:
This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.
Hope this helps!
4.
Find the x- and y-intercept of the line.
2x + 3y = -18
Hi there!
»»————- ★ ————-««
I believe your answer is:
X - Intercept: (-9, 0)
Y - Intercept: (0, -6)
»»————- ★ ————-««
Here’s why:
The x and y-intercepts of a line is where a given function intercepts the x or y axes.
I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).
Therefore:
[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]
See the graph attached below!
»»————- ★ ————-««
Another way to solve this problem is to do this algebraically.
[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]
----------------------------
[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
7. A rectangular prism has dimensions
4 feet x 3 feet X 10 feet. What
are the possible dimensions of a
horizontal or vertical cross section?
Answer:
yoi
Step-by-step explanation:
yoi
Describe the transformation (s) (x, y) ----> (x + 2, y - 3)
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to describe transformation
As we can see, we added a value to the initial x and subtracted a value from the initial y
By adding to the initial x value, we are simply moving towards the right of the coordinate plane i.e we move towards the positive x axis
for the y axis value, we made a subtraction
what this mean is that we are actually going towards the negative y axis
So we move right on the positive x axis and move downwards to the negative y axis
hello please help i’ll give brainliest
Answer:
The first answer is correct.
Step-by-step explanation:
If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.
Hope that this helps!
I need help ASAP. Find the length of arc FD if the radius is 94 and m
Answer:
[tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m
Which statement best describes the sequence defined by ?
The series diverges because it has a sum of 6.
The series converges because it has a sum of 3/4.
The series converges because it has a sum of 2.
The series diverges because it does not have a sum.
Answer:
well its not c so...
Step-by-step explanation:
that'll leave you w 3 others to choose from. sorry.
The series diverges because it does not have a sum option, fourth is correct.
What is the convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.
We have an infinite series:
[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]
[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]
The above series is geometric series with first term 2 and the common ratio is 2.
Here 2>1
By the ratio test, the series is divergent.
Since the common ratio is greater than 1 the sum will be infinite.
Thus, the series diverges because it does not have a sum option, fourth is correct.
Learn more about the convergent of a series here:
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GUYS AND GIRLS PLEASE HELP ASAAPPP
Answer:
I feel like its 8, but correct me if I'm wrong I'm not 100 percent sure!
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
(0, 10)
-----------------
heyy! i’ll give brainliest please help.
Answer:
The 2nd one is related to the climate
Step-by-step explanation:
HaVe An AmAzInG DaY
help the whole question is right there, it's pretty easy I just don't have brainpower
Answer:
Your answer is 211.8
Step-by-step explanation:
We've made a right triangle so the equation is a²+b² = c²
141²+158² = c²
141²+158² = 44845
Then you square root it
√44845 = 211.8
Workers are using a nuke to carry equipment to work site. A mule can carry one bag of gravel that weighs 13 kilograms and some wooden posts. Each post weighs 4.5 kilograms.
What’s is the greatest number of wooden posts the mule can carry?
Please help
Answer:
14
Step-by-step explanation:
WILL GIVE BRAINLIEST
Draw a net to represent the three-dimensional figure indicated.
a. Right cylinder
answer:
you should be able to see the answer below.
step-by-step explanation:
imagine opening the actual shape and make sure the net diagram makes senseThe net is made up of two congruent rectangles and a circle. The rectangles are the bases of the cylinder, and the circle is the top.
The rectangles are connected by four flaps, which are the sides of the cylinder.
The dimensions of the net are as follows:
The length of each rectangle is equal to the circumference of the circle.
The width of each rectangle is equal to the height of the cylinder.
The radius of the circle is equal to the radius of the base of the cylinder.
To know more about rectangles:
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A cube with an edge length of 10 must be filled completely. How many cubic centimeters will be needed? Type
your answer in the box.
A cm3
Answer: 1,000 cm^3
Step-by-step explanation:
Volume of cube= bhw
All sides of a cube are equivalent so 10^3= 1000
A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $12 per square foot. How much will it cost to replace the glass? Use 3.14 for π.
Answer:
The image of the window can be seen below:
In the image we can see that the window can be separated in:
One rectangle of 4ft by 5 ft
Two half-circles (that if we add we get a complete circle) of diameter D = 4in.
First, we know that for a rectangle of length L and width W, the area is:
A = L*W
Then the area of our rectangle is:
A = 4ft*5ft = 20ft^2
And for a circle of diameter D, the area is:
A' = 3.14*(D/2)^2
In this case we have D = 4in, then the area of the circle (that we get when we add the areas of the two half-circles) is:
A' = 3.14*(4ft/2)^2 = 3.14*4 ft^2 = 12.56 ft^2
Then the total area of the window is:
Area = A + A' = 20 ft^2 + 12.56 ft^2 = 32.56 ft^2
And we know that each square foot of glass costs $12, then 32.56 square foots of glass will cost 32.56 times $12
Then the total cost is:
C = 32.56*$12 = $390.72
Paul is a baker who earns 15 cash per hour.If paul worked 63 housrs at her job how much money has she eared
How many times larger is 3 x 10^8 than 3 x 10^2
A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10
Answer:
Your answer is C
Step-by-step explanation:
You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.
ughhhh can someone help me out please:))?
Answer:
its the first one those lines are just going to make it posotive basically so its true
Tell whether the angles are adjacent or vertical. Then find the value
of x. i will mark brainliest!