Answer:
85 ft
Step-by-step explanation:
for all right triangles, triangles with a 90 degree angle, the sides are equal to [tex]a^{2} + b^{2} = c^{2}[/tex] where c is the hypotenuse, or the longest side.
so... [tex]40^{2} + 75^{2} = c^{2}[/tex]
[tex]7225 = c^{2}[/tex]
c= 85
Solve the simultaneous equations
y = 4x + 1
y = 2x^2+ 7x - 1
Answer:
[tex]Given,\\y = 4x+1......(1)\\y = 2x^2+7x-1.............(2)\\Equating~equation (1)~and~(2),\\4x+1 = 2x^{2} +7x-1\\or, 2x^{2}+7x-4x-1-1=0\\or, 2x^{2} + 3x-2=0\\or, 2x^{2} +4x-x-2=0\\or, 2x(x+2)-1(x+2)=0\\or, (x+2)(2x-1)=0\\i.e. x=-2 ~or~ \frac{1}{2} \\When~x=2,~equation(1)~becomes ~y=4(-2) +1=-7\\When~x=-\frac{1}{2},~equation (1)~becomes~y=4(\frac{1}{2}) +1 = 2+1=3[/tex]
So, the required values of x are -2 and 1/2 and that of y are -7 and 3.
a bat and a baseball costs $1.10. the bat costs $1 more than the ball. how much does the ball cost?
Answer: 0.10
Step-by-step explanation:
because u said that the bat was 1.00 more than the ball so the ball would be 0.10
Which picture shows a rotation of the flag?
Answer:
it has no pic
Step-by-step explanation:
4. Triangle TRY was reduced to form triangle PIE.
What number best represents the scale factor used
to change triangle TRY to triangle PIE?
OON
T
A
X
1987:6 5 4 3 2 -10
0
2 3 4 5 6 7 8
2
I
-5
- ?
8
Dennis recently purchased an old car for $1000, and he knows that each year, the car’s value will increase by 2% each year. What is the value of the car after 20 years?
help i am almost done
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. Is Charles’s reasoning correct? Explain why or why not.
Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
ik you want the points
plzz
Answer:
Line 1: Undefined
Line 2: -4/3
Line 3: 4/3
Line 4: Undefined
Line 5: 7/3
Line 6: -7/3
Line 7: 0
Line 8: 0
Line 9: Undefined
Line 11: 0
Line 10 & 12: Undefined
Step-by-step explanation:
Use the slope formula (you can just search up the slope formula)
Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).
I hope this helps!
A dog barks 30 times in 2 minutes. How many times does the dog bark per minute?
barks per minute
Answer:
15 times per minute
Step-by-step explanation:
just divide 30 by 2
The graph of a linear system is shown. What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(1,2)
Step-by-step explanation:
The solution would be where both lines intersect.
In this case, the intersected point is (1,2)
Rewrite the fraction in the sentence below as a percentage.
19
At a certain wedding,
of the guests were under 65 years old.
20
Answer: 95%
Step-by-step explanation:
19/20 divide
=0.95 turn into fraction form
= 95/100
=95%
Bryce tried to solve an equation step by step.
8
3
+3)
5
3
3
8
5
3c + -
Step 1
3
3
13c
Step 2
1
©
3
Step 3
Find Bryce's mistake.
Plz help i am really confused
Answer:
sorry im confused too . i would help you but I don't know what they are asking sorry
Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?
Answer:
iON know
Step-by-step explanation:
Show steps please, Need answer ASAP
In which quadrant does 694 lie?
Answer: C. quadrant l
Step-by-step explanation:
Angle 694° lies Quadrant IV which is correct option (D)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
For Quadrant I : the value of x and y both are positive ( +,+ )
For Quadrant II : the value of x is negative and y is positive ( -,+ )
For Quadrant III : the value of x is negative and y is negative ( -, - )
For Quadrant IV : the value of x is positive and y is negative ( +, - )
Locate the quadrant of the angle.
If the angle is greater than 360°,
Subtract 360° until the angle is less than 360°.
⇒ 694 - 360
⇒ 334°
Hence, angle 694° lies Quadrant IV
Learn more about the quadrant of graph here:
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8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
20 points.
Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)
Answer:
-9 6 that is because the line has to be perpenducular to the other line
Step-by-step explanation:
Slope of line between points (-4, 6) and (5, -3)
=> Rise / Run
=> [6 - (-3)] / [(-4) - 5]
= 9 / (-9)
= -1.
Thus slope of perpendicular line
= -1 / (-1) = 1.
We have y = x + c.
When x = 1, y = -7.
=> (-7) = (1) + c, c = -8.
Hence y = x - 8.
The ratio of men to women in a
community chorus is 4/5 There are 60
men in the chorus. How many women are
in the chorus?
Answer:
125 women
Step-by-step explanation:
Answer: 75 women
Step-by-step explanation:
4/5
60/4=15
15x5= 75
A teacher has an annual income of $40,400. The income tax the teacher has to pay is 6.5%. What is the amount of income tax the teacher has to pay?
In the diagram below of circle 0, diameter AB is
parallel to chord CD.
A. 110°
B. 70°
C. 55°
D. 35°
If mCD= 70, what is mAC?
Answer:
C. 55°
Step-by-step explanation:
The computation of mAC is shown below:
Given that
Diameter AB would be parallel to CD
McD = 70
Based on the attached diagram and the above information
mAC is
= (180 - 70) ÷ 2
= 55 degrees
hence, the correct option is third
Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)
Answer:
13
Step-by-step explanation:
Replace X with 2
Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)
g(x) = 3(2)^2 – 2(2) + 5
Next conduct PEMDAS
Exponents are first so solve 2^2 which is 2 x 2 = 4
g(x) = 3(4) – 2(2) + 5
Next step is multiplication multiply 3 x 4 and 2x2
g(x) = 12 – 4 + 5
conduct adding and subtracting left from right
g(x) = 13
find the cube root of 27a
Answer:
3a
Step-by-step explanation:
27a ÷ 3 (number of cube root) = 3a
Answer:
3 a
Step-by-step explanation:
is the right answer you welcome
Can someone pls help me solve? (20 points)
Answer:
liar is 10
Step-by-step explanation:
Answer:
J. [tex]x=125[/tex]
Step-by-step explanation:
[tex]log_{2} 24 - log_{2}3 =log_{5} x[/tex]
[tex]4.5- 1.5 =log_{5} x[/tex]
[tex]x=(log_{5})^{-1} (3)[/tex]
[tex]x=125[/tex]
A recipe calls for 1/2 cup of milk for every 3/4 cups of flour. How much milk is required for every cup of flour. *
Answer:
2/3rds
Step-by-step explanation:
for 1 cup of flour you multiply 3/4th by 4 then devide by 3 giving you one cup of flour, now to keep it balanced you do the same to the milk, thus multiplying 1/2 by 4 then dividing it by three, which is 2, you then divide 2 by 3 giving you yours answer, 2/3rds
Answer:
A recipe calls for 1/2 cup of milk for every 3/4 cups of flour. How much milk is required for every cup of flour. *
Step-by-step explanation:
So for every 1/2 a cup is 3/4 cups of flour so if you need to know how much cups of flour is used for 1 total cup of milk you have to add you multiply it is optional if you add put the two fractions next to each other you need to add to the side witch the numbers are 3 so 3+3 is 6 so you got the answer just put the number 4 under the 6 and it will be 6/4 or you could say 1 2/4 or 1 1/2 .
Find the given trigonometric ratio in the problem below.
Answer:
cosC = 30/50
Step-by-step explanation:
Before you find cosC, you should know that:
tangent = opposite side/adjacent side
sine = opposite side/hypotenuse
cosine = adjacent side/hypotenuse
You should also know that trigonometric ratios work for only right triangles.
If cosine = adjacent side/hypotenuse, then:
cosC = 30/50
cosC = 0.6
If rounding to the nearest four decimals, it should be 0.6000.
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/3? Select all that apply.
A) (5,8)
B) (3,1)
C) (9,3)
D) (12,4)
E) (18,6)
Answer:
The answer is B,C,D and E
The points that show the proportionality rate 1/3 are (3, 1), (9, 3), (12, 4) and (18, 6).
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
We have constant of proportionality is 1/3.
And the proportionality is represented as x/y = k, where x and y are two expressions and k is constant.
So, x / y = 1/3
A) (5,8)
x/y = 5/8 ≠ 1/3
B) (3,1)
x/y = 1/3
C) (9,3)
x/y = 3/9 = 1/3
D) (12,4)
x/y = 4/12 = 1/3
E) (18,6)
x/y = 6/18 = 1/3
Therefore, B, C, D and E are the answers.
To learn more about the proportional relationship;
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multiply. (x^2-5x+2)(3x^2+2x+3)
Answer:
3x^4-13x^3-x^2-11x+6
Step-by-step explanation:
Checked this on a website for you btw!
Answer:
3x^4-13x^3-x^2-11x+6
Step-by-step explanation:
3(-4+x)<-33 I need to solve for x
Answer:
−7
Step-by-step explanation:
Answer:
Let's solve your inequality step-by-step.
3(−4+x)<−33
Step 1: Simplify both sides of the inequality.
3x−12<−33
Step 2: Add 12 to both sides.
3x−12+12<−33+12
3x<−21
Step 3: Divide both sides by 3.
3x/3 < −21 /3
x<−7
Answer:
x<−7
Step-by-step explanation:
tions on NOTEPADS
SUS
Expand and simplify the following
6(x + 2) - 3(x + 4)
3. A team of biologists tagged 48 seals off the coast of an island. Later they captured a
sample of seals from the same area and found that 15% of them had tags. Use this
information to estimate the number of seals in the area.
Step-by-step explanation:
A team of biologists tagged 48 seals off the coast of an island.
later they captured a sample of seals from the same area and 15% of them had tags.
Estimate the total number of seals.
15 : 100 : : 48 : x
x
=4,800/15
=320
The total number of seals is about 320.
I hope it's helpful!