Answer:
The length of the hypotenuse is 37cm
Step-by-step explanation:
we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.
a=1/2bh
210=1/2(12)h
210=6h
h=35cm
now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:
12^2+35^2=c^2
c^2=144+1225
c^2=1369
c=37
so, the hypotenuse is 37cm
The length of the hypotenuse is 21.22 cm
How to determine the hypotenuse?The given parameters are:
Area = 210
Base = 12
Start by calculating the height using:
Height = Area/Base
This gives
Height = 210/12
Divide
Height = 17.5
The hypotenuse is then calculated using:
Hypotenuse = √(Base^2 + Height^2)
This gives
Hypotenuse = √(12^2 + 17.5^2)
Evaluate
Hypotenuse = 21.22
Hence, the length of the hypotenuse is 21.22 cm
Read more about right triangles at:
https://brainly.com/question/23814470
PLS ANSWER 15 POINTS + BRAINLIEST IF RIGHT!
Tom simplified an expression in three steps, as shown:
x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4
Step 1:
x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2
Step 2:
x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16.
Step 3:
x to the power of negative 13 multiplied by y squared
Which is the first incorrect step and why?
Step 1, all the exponents are increased by 4
Step 2, the exponents of the same base are added during multiplication
Step 3, the exponents of the same base are subtracted during division
Step 3, all the exponents are added during division
Weight of three books are 23⁄4 kg, 35⁄6 kg and 23⁄8 kg. Find the total weight of all the three books.
Answer:
12.54kg
Step-by-step explanation:
(23/4 + 35/6 + 23/8)kg
[tex] = \frac{(23 \times 6) + (35 \times 4) + (23 \times 3)}{24} [/tex]
[tex] = \frac{92 + 140 + 69}{24} [/tex]
= 301/24
= 12.54kg
3. The perimeter of a rectangular plot of land is
148m. If its length is 28m greater than its width,
find the dimensions (length and width) of the land.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match each verbal description to its equivalent function rule as applied to the given function below.
f(x) = 7x + 5
Answer:
-The function f translated 2 units down and 3 units right. > g(x)=7x-18
-The function f stretched vertically by a factor of 3 and translated up by 2 units. > g(x)=21x+17
-The function f stretched vertically by a factor of 2 and translated down by 3 units. > g(x)=14x+7
-The function f reflected about the y-axis and translated 3 units left. >g(x)=-7x-16
Step-by-step explanation:
-A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
-A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
-A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
-A function is reflected about the y-axis when the x-value is multiplied by a negative constant.
Answer:
The function f stretched vertically by a factor of 3 and translated up by 2 units.
g(x)=21x+17
The function f translated 2 units down and 3 units right.
g(x)=7x-18
The function f reflected about the y-axis and translated 3 units left.
g(x)=-7x-16
The function f stretched vertically by a factor of 2 and translated down by 3 units.
g(x)=14x+7
Step-by-step explanation:
Functions can be moved and re-sized by changing the parameters of the function.
A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
A function is reflected about the y-axis when the x-value is multiplied by a negative constant.
Determine the area of the composite figure.
Answer:
240
Step-by-step explanation:
Split the firgue into shapes you know
rectangle and Trapezoid
A = bh
A = 10×6
A = 60
A = 1/2h(b+b)
A = 1/2×12(10+20)
A = 6(30)
A = 180
180 + 60 = 240
240
Answer:
420 cm²
Step-by-step explanation:
Area of composite shapes
To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes. Other composite shapes may have cut-out sections.Solve
To find the composite area of two or more shapes, simply find the area of each shape and add them together.
So,
18 cm × 20 cm = 360
10 cm × 6 cm = 60
Now, add the results together
360 + 60 = 420
Therefore, the area of the composite figure is 420 cm²
which of the following expressions has a coefficient of 10 and a constant of 5
10 + 5x
10+5
10x+5
10-5
Answer:
sometinng like x^2+ 10x+5
The single number is the constant and the number before the variable(x) is the coefficient
Step-by-step explanation:
You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?
Answer:
495 milliliters of the 95% mixture are needed.
Step-by-step explanation:
Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:
55 x 0.45 + 45 x 0.95 = 67.5
25 x 0.45 + 75 x 0.95 = 82.5
15 x 0.45 + 85 x 0.95 = 87.5
10 x 0.45 + 90 x 0.95 = 90
10 = 55
90 = X
90 x 55/10 = X
4,950 / 10 = X
495 = X
Thus, 495 milliliters of the 95% mixture are needed.
What is the solution of 3+x-2/x-3<_4
Step-by-step explanation:
3+x-2/x-3<_4
cross multiply
3+x-2<_4(x-3)
3+x-2<_4x-12
1+x<_4x-12
collect like terms
1+12<_4x-x
13<_3x
divide both side by 3
13/3<_×
6.5<_x
Jenny has overdrawn her bank account by $48.38. She makes a withdrawal of $10.25 and then makes a deposit of $60. What is the amount of money in Jenny's account after with withdrawal and deposit?
Over drawn means negative.
So she is at -43.38 then withdraws ( takes out) 10.25
Now her account is at -43.38-10.25 = -53.63
She than adds 60
Her final amount is -53.63 + 60 = $6.37
Answer:
-48.38-10.25= -58.63
-58.63 + 60= 1. 37
Step-by-step explanation:
1. 37
You have two pitchers and each can contain 600 ml of liquid. One pitcher is one-third full and contains vinegar. The other pitcher is two-fifths full of vinegar. Oil is added to fill each pitcher completely. The contents of each pitcher are poured into one large container. What fraction of the mixture in the large container is vinegar?
Answer:
answera c
Step-by-step explanation:
Please help me i dont know what to do
Answer:
Help you with what?
help! how do i do this?
Answer:
See below
Step-by-step explanation:
5)
k/x = w - v
Multiply by x to get it out of the denominator of the fraction.
k = wx - vx
Switch the terms so they are easier to work with.
wx - vx = k
Factor x out.
x(w - v) = k
Divide by w - v to get x by itself.
x = k/w - v.
6)
ac = d - r
Divide by c to get a by itself.
a = d/c - r/c
Combine the two fractions to simplify.
a = d-r/c.
A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?
Answer:
4 feet is left in the wall
Step-by-step explanation:
If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.
Answer:
2 ft.
Step-by-step explanation:
14 - 10 = 4.
4/2 = 2
You divide beacuse theres space on botrhsides of the painting.
please answer!
The expression 8x − 4 represents the
cost of 8 pairs of socks Emma bought,
less the $4 coupon she had. Which
property is applied to the expression to
write the equivalent expression
4(2x − 1)? Explain.
Answer:
Step-by-step explanation:
distributive property
3/4(5a - 16)- 1/3(6a-3)
Answer:
If you want an expression answer (Simplify):
= 7/4a - 11
If you want an answer to the variable a (Find 'a'):
7/4a - 11 = 0
7/4a = 11
a = 44/7
Step-by-step explanation:
3/4(5a - 16) - 1/3(6a - 3)
= 15/4a - 12 - 2a + 1
= 7/4a - 11
hep me with this question
x=3 for both of the questions
4 x ? is close to 105
Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?
Which 2 triangles are similar
Answer:
Triangle A and B
Step-by-step explanation:
The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.
help the work hurts meee!!!!!!!!!!!!! and show thee work
12 in is 1 ft, 5 in is ~0.41 ft, 13 in is ~1.08 ft
16 oz is 1 lb, 9 oz is ~0.56 lbs, 18 oz is ~1.13 lbs
What is the value of x in the triangle? 25 degrees x 25 degrees
Answer:
Step-by-step explanation:
0,5
2
What is the value of x in the equation 3
-18?
-56
-52
52
56
Answer:
sorry
Step-by-step explanation:
plz send full question
Find AC and BC.
Answers:
14.94
13.46
11.10
10
Please help.
Step-by-step explanation:
Use Sine rule.
[tex] \frac{ac}{ \sin(b) } = \frac{ab}{ \sin(c) } \\ \frac{ac}{ \sin(90) } = \frac{10}{ \sin(42) } \\ ac \sin(42) = 10 \sin(90) \\ ac = \frac{10 \sin(90) }{ \sin(42) } \\ ac = 14.9 \: units \: (3s.f)[/tex]
Angle A + angle B + angle C = 180 (sum of angles in triangle)
Angle A + 90 + 42 = 180
Angle A + 132 = 180
Angle A = 180 - 132
= 48
[tex] \frac{bc}{ \sin(a) } = \frac{ab}{ \sin(c) } \\ \frac{bc}{ \sin(48) } = \frac{10}{ \sin(42) } \\ bc \sin(42) = 10 \sin(48) \\ bc = \frac{10 \sin(48) }{ \sin(42) } \\ = 11.1units (3sf)[/tex]
Sanjay surveyed 95 students at his school about their favorite class. Of the students surveyed, 19 said their favorite was Spanish. What is the experimental probability that the next student Sanjay talks to will pick Spanish?
Answer:
0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish
Step-by-step explanation:
Probability:
A probability is the number of desired outcomes divided by the number of total outcomes.
It is called experimental when both these number of outcomes come from experiences, from a trial, as is the case in this exercise.
What is the experimental probability that the next student Sanjay talks to will pick Spanish?
19 out of 95. So
p = 19/95 = 0.2
0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish
no the correct answer is gonna be 1/5
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The null hypothesis for this ANOVA problem is
Answer:
H0 : //μA = μB = μC
Step-by-step explanation:
Given the data:
Treatment | Observation
A | 20 | 30 | 25 | 33
B | 22 | 26 | 20 | 28
C | 40 | 30 | 28 | 22
To test whether there is a difference between the group means of a sample ; the ANOVA test is employed ;
The appropriate hypothesis test:
The alternative hypothesis will habour the notion that there is a difference in sample means while the alternative will be opposite, that is, no difference exists in the sample means for the three treatments :
Null hypothesis ; H0 : μA = μB = μC ;
The alternative hypothesis, takes the opposite of the null ;
H1 : μA ≠ μB ≠ μC (this means that the mean values of the treatments are not the same
The null hypothesis will
John withdrew 1/4 of his savings to use as deposit on a new phone.He had 164.00 in his savings account.How did John withdrew for the deposit on the phone
Answer:
$41
Step-by-step explanation:
Well he withdrew 1/4 of his savings which is basically 1/4 * 164
Help- ;-; i am struggling ;-; I- cant do this--
Answer:
x is vertical *laying down* y in upward also (x,y) so ifthe first on would be anywhere on the y axis
find the volume of the cone. Diameter:14 m, Slant Height:25 m
Answer:
1232m^3
Step-by-step explanation:
d = 14m
r = 7m
l = 25m
h = ?
h = root l^2- r^2
h = root 25^2- 7^2
h = root 625- 49
h = root 576
h = 24m
volume of cone = 1/3 pie r^2 h
= 1/3*22/7* 7*7*24
= 22*7*8
= 154*8
= 1232m^3
Answer:
1231.5 m³
Step-by-step explanation:
You have to find the height first.
using the Pythagoras rule,
hypotaneous² = base² + height²
25² = 7² + h²
576 = h²
h = √576
h = 24
Volume of cone = 1/3 π r² h
= 1/3 * π* 7² * 24
= 1231.5 m³
hello any one whant to be my freind
Answer:
sure
Step-by-step explanation:
Answer:
forever and always
Step-by-step explanation:
Find the area of the composite figure below:
Answer:
[tex] 379 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of the composite figure
= Area of rectangle with dimensions 17 & 11 units + Area of trapezoid with length of parallel sides 11 and 21 units and height (29 - 17 = 12) 12 units.
[tex] = 17 \times 11 + \frac{1}{2} (11 + 21) \times 12 \\ \\ = 187 + 32 \times 6 \\ \\ = 187 + 192 \\ \\ = 379 \: {units}^{2} [/tex]