Answer:
I think its true
Step-by-step explanation:
Find the length of side x in the simplest radical form with a rational denominator.
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:
[tex]tan(45)=\frac{x}{\sqrt{2}}[/tex]
Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:
We multiply the denominator of the fraction by [tex]\sqrt{2}[/tex]. [tex]\sqrt{2}[/tex] multiplied by itself is simply 2. Try it! We also want to multiply the numerator by [tex]\sqrt{2}[/tex], but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:
[tex]tan(45)=\frac{x\sqrt{2} }{2}[/tex]
Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.
[tex]\frac{x\sqrt{2} }{2*2} =x\sqrt{2}[/tex]
[tex]tan(45)*2=2[/tex]
We can plug 2 in for the x in the numerator now:
[tex]\frac{2\sqrt{2} }{2}[/tex]
2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of [tex]x=\sqrt{2}[/tex]
Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)
What is the solution to this equation?
2 x + 10 = 28
Record your answer in the space provided. Be sure to use the correct place value.
Answer:
[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]
Find the value or measure. Round answers to the nearest tenth, as needed.
Answer:
26
Step-by-step explanation:
Solve 9x-1 = 41-5x
9x-1 = 41-5x
+1 +1
9x = 42-5x
+5x +5x
14x = 42
/14 /14
x = 3
Plug in X for EF
41-5(3)
41-15
=26
solve all of these ?
21 Answer:
[tex] \frac{3}{a} [/tex]
22 Answer:
[tex] \frac{1}{ {b}^{3} } [/tex]
23 Answer:
[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]
24 Answer:
[tex]9c ^{4} [/tex]
25 Answer:
[tex] - \frac{1}{ {a}^{2} } [/tex]
26 Answer:
[tex] \frac{1}{ {c}^{2} } [/tex]
what is 4/5 as a whole number
Answer: 4 over 5 is not a whole number and so it cannot be expressed as a whole number.
Step-by-step explanation:
PLSS HELPP!!! I WILL BE GIVING BRAINLIEST AND POINTS:(!!
Answer:
A≈1628.55
Step-by-step explanation:
A=(6ah)+3sqr3a^2=6·8·27+3·sqr3·8^2≈1628.55376
.What is the perimeter of the figure below?*
2 in
9 in
2 in
11 in
Please help!
Answer:
I think 24
Step-by-step explanation:
11+9=20+2+2=24
Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\dfrac34&\green{\text{Step } 1}\\\\ m&=2&\blue{\text{Step } 2} \end{aligned} 4 3 +m 4 3 +m− 4 3 m = 4 5 = 4 5 + 4 3 =2 Step 1 Step 2
Answer:
Angela's mistake is in step 1, she failed to change the sign when subtracting from both sides
Step-by-step explanation:
Equation given :
The correct solution should be :
3/4 - 3/4 + m = 5/4 - 3/4
m = 2/ 4
m = 1/2
Therefore failure to change the sign will result in a obtaining a wrong answer for the exercise.
m=1/2
hope this helps!
7.
Wendy is paid $12 per hour and plans to work between 30 and 35 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
A. weekly pay; hours worked; $360 to $420; 30 to 35 hours
B. hours worked; weekly pay; 30 to 35 hours; $360 to $420
C. weekly pay; hours worked; 30 to 35 hours; $360 to $420
D. hours worked; weekly pay; 30 to 35 hours; $0 to $420
Answer: I'm gonna go with B. hours worked; weekly pay; 30 to 35 hours; $360 to $420, because I had something similar to this
Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.
weekly pay; hours worked; 20 to 25 hours; $180 to $225
hours worked; weekly pay; 20 to 25 hours; $180 to $225
weekly pay; hours worked; $180 to $225; 20 to 25 hours
hours worked; weekly pay; 20 to 25 hours; $9 to $225
Step-by-step explanation:
The independent quantity is her pay and the dependent quantity is the hours she works in a week.
I believe the range would be 30 to 35 hours and the domain would be $360 to $450.
...................................................................................................................................................
Answer:
Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)
Part b) Domain
Part c) Range
Step-by-step explanation:
Let
x------> the number of hours
y-----> total paid
The linear equation that represent this situation is
so
Part a)
The independent quantity is the variable x (the number of hours)
The dependent quantity is the variable y (total paid)
Part b) Find the domain
The domain is the interval-------->
All real numbers greater than or equal to hours and less than or equal to hours
Part c) Find the range
For
find the value of y
For
find the value of y
The range is the interval------->
All real numbers greater than or equal to and less than or equal to
...............................................................................................................................................
The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.
The $12 per hour would become $360/week to $420/week.
The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.
The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.
...............................................................................................................................................
Determine the intercepts of the line.
y = -32 + 12
Y-
X-
Answer:
y = − 20
x = none
Step-by-step explanation:
There is no X intercepts
-32 + 12 = 20
Someone help please
Answer:
-2x2 y1/3
Step-by-step explanation:
1 Are these similar triangles?
Answer:
NOPE
Step-by-step explanation:
A mountain climber found that the relationship between his altitude and the surrounding air
temperature is linear. The function f (a) = - -100 a + 75 represents this relationship, where a
is the altitude in meters and f(a) is the temperature in degrees Fahrenheit. According to this
function, by how much is the temperature decreasing for every meter that the mountain climber's
altitude increases?
IF
100
O IF
100
75 F
-75F
Answer:- 1/100 degrees Fahrenheit
Step-by-step explanation:
The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.
At the beginning of March, a store bought a rake at a cost of 9$ and marked it up 130%. At the end of the month, the rake had not sold, so the store marked it down 50%. What is the discounted price?
Answer:
the new discounted price is $5.85
Step-by-step explanation:
First convert 130% into a decimal: 130 ÷ 100 = 1.3
Next multiply 1.3 by 9: 9 x 1.3 = 11.7
Then convert 50% into a decimal: 50 ÷ 100 = 0.5
Last multiply 11.7 by 0.5: 11.7 x 0.5 = 5.85
William bought some cashews and walnuts. Spending the same amount of money as William, his twin Jillian bought twice as many cashews and 10 less walnuts. If the cost of one walnut is 2 more than the cost of cashew, then what is the minimum possible number of cashews bought by the twins together?
Answer: 33
Step-by-step explanation:
Given
The cost of one walnut is 2 more than the cost of a cashew
Jillian bought twice the amount of cashew as William and 10 fewer walnuts
Suppose the price of cashew and walnuts be x and x+2
Assume William bought a cashew and b walnuts
Money spent by Willian
[tex]\Rightarrow W=a(x)+b(x+2)[/tex]
Money spent by Jillian
[tex]\Rightarrow J=2a(x)+(b-10)(x+2)[/tex]
They spent equal money i.e.
[tex]\Rightarrow ax+bx+2b=2ax+bx+2b-10x-20\\\Rightarrow ax-10x-20=0\\\Rightarrow (a-10)x=20\\\text{Here product of two number is 20 , so both must be greater than 0}\\\therefore a-10>0\\\Rightarrow a>10\\\text{i.e. minimum value of a is 11}[/tex]
The amount of cashew both twins bought is a+2a=3a
[tex]\Rightarrow 3a=3\times 11=33[/tex]
Which of the following equations is equivalent to y-3 = -2(x-6)?
а. y=-5x-9
b. y = -2x 3
с. y= -5x - 15
d. y = -2x + 9
Answer:
Step-by-step explanation:
Which of the following equations is equivalent to y-3=-2(x-6): y+3x=6 ... Move the +3*x to the right side by subtracting 3*x from (or adding negative 3*x to) ... And in addition, we know that the line graph crosses the y-axis where y equals y=-2x3.
Choose the ordered pair(s) that are solutions to the system. (There may be one or many correct options).
-3x-y>-4
2x-5y<-2
Answer Choices:
a. (5,5)
b. (2,6)
c. (-4,1)
d. (6,5)
e. (-5,0)
f. none of the above
Answer: C,E
Step-by-step explanation: This is because when we plug in 5 for x and for y in the first inequality we get.
-3(5)-5>-4
Which equals -20>-4 and thats false so thats not it.
Then we got to (2,6) and we plug 2 for x and 6 for y and get:
-3(2)-6>-4
Which is -12>-4 which is false so thats also not it.
Then we got to C and we plug in -4 for x and 1 for y and we get:
-3(-4)-1>-4 and we get 12-1>-4
This is correct so we plug it in to the next inequality and get:
2(-4)-1<-2 and we get -9<-2 which is true
So C is an answer and we go on to d and e
For d we plug in 6 for x and 5 for y and we get:
-3(6)-5>-4 which is -23>-4 which is false so its not d
And then we go to e which is -5 for x and 0 for y and we plug in and we get:
-3(-5)-0>-4 This is 15>-4 which is true so we go to the next inequality and we plug in -5 for x and 0 for y and we get:
2(-5)-5(0)<-2 This is -10<-2 which is true so e is the other answer so the answers are
(C,E)
simplify the product using the distributive property.
(8b+5)(7b-2)=?
Answer:
5 6 2 + 1 9 − 1 0
Step-by-step explanation:
What is the rate of change in the equation?
Answer:
-5
Step-by-step explanation:
The rate of change is normally the number not attached to X so in this equation it is-5.
Part B The manager of The Gadget Factory wants to make sure that the next shipment costs no more than $15,000. Write an inequality that shows the amount of money that can be spent. Graph the inequality on the number line. Let n=the amount of money spent.
Answer:
Part B The manager of The Gadget Factory wants to make sure that the next shipment costs no more than $15,000. Write an inequality that shows the amount of money that can be spent. Graph the inequality on the number line. Let n=the amount of money spent.
Step-by-step explanation:
The inequality equation is n ≤ 15,000 , where n is the amount of money spent
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the amount of money spent be represented as n
And , the next shipment costs no more than $15,000
So , n ≤ 15,000 be equation (1)
Therefore , the value of A is n ≤ 15,000 and the graph is plotted
Hence , the inequality equation is n ≤ 15,000
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Can someone help me with this ASAP please I’m being timed !
Answer:
b. y = 5/3x
Step-by-step explanation:
i hope this helps :)
The base of a triangle is 2 more than three times the side lengths (x). If the
perimeter is equal to 97, then find the base .
Answer: 15
Step-by-step explanation:
Find the equation of the line below.
(3,1)
Answer:
B
Step-by-step explanation:
the answer is B.the equation of the line
A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
Answer:
A bullet fired from a gun has a muzzle velocity of 3510 km per hour how long dies it take to travel 100m
Step-by-step explanation:
Given :
Velocity of bullet = 3510 km/hr
Distance traveled = 100m
Converting distance in meter to kilometer :
(100 / 1000) km = 0.1 km
Recall :
Speed = Distance /time
Time taken = Distance / speed
Therefore,
Time taken = Distance / speed
Time taken = 0.1 km / 3510 km/hr
Time = 2.849 * 10^-5 hour
Two angles are complementary. One angle is 18 degrees more than the other. What are the measures of the two angles?
Answer:
Step-by-step explanation:
x+y = 90°
x = y+18°
(y+18°) + y = 90°
2y = 72°
y = 36°
x = y+18° = 54°
what is the slope of the line in the graph below ?
Answer:
Step-by-step explanation: The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph by finding the change in y and the change in x.
The solution to 8x = 32 is x = ___.
a.3
b.4
c.5
d.6
Answer:
b.4
Step-by-step explanation:
8x=32
x = 32 / 8
x = 4
PLEASE HELP I HAVE 30 MINUTES UNTIL CLASS ENDS PLEASE HELP
Answer:
12 stamps
Step-by-step explanation:
6 divided by 0.50 = 12
Answer: it’s 12
Step-by-step explanation: all I did was multiplied 6 by .50
Hope this helps!
(-15)-(-18) divided by 3
Answer:
The answer is (-9)
Step-by-step explanation:
The solution is, the result of the division is 1.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
given that,
(-15)-(-18)
now we have to divide this by 3
so, we get,
(-15)-(-18) /3
now,
(-15)-(-18)
= -15 + 18
=3
so, we have,
(-15)-(-18) /3
=3 /3
=1
Hence. The solution is, the result of the division is 1.
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Last year, there were 120 students in the
marching band. This year, there are 138.
What is the percentage of increase or decrease?
Answer:
The increase is 15%
Step-by-step explanation:
Hope this helps!