anewr
you could caluta
Step-by-step explanation:
Answer:
X = 12
Step-by-step explanation:
2x + 3 = x + 15
2x + 3 = x = -3
-3 + 15 = 12
So X = 12
Hope I helped!
Have a good day. =)
Please help and show work and steps
Answer:
I and III
Step-by-step explanation:
On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
if 2x+15= 30
then what is x?
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
60 + 7.20 + 7.80 please math is so dumb
Answer: 75
Step-by-step explanation: 7.20+7.80=15 then 15+60=75
The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.
Answer: it is not a right triangle
12^2=7^2+10^2
144=49+100
144=149
To prove this we try the pitagor teorem which the largest side is the hypotenuse
It is not a right triangle.
We have given that,
The triangle has side lengths 7, 10, and 12.
What is the Pythagoraus theorem?
[tex]hypotenous^2=side^2+side^2[/tex]
12^2=7^2+10^2
144=49+100
144=149
The pitagor theorem which the largest side is the hypotenuse.
To learn more about the triangle visit:
https://brainly.com/question/2217700
#SPJ2
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?
Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]
-4x + 60 = 0
-4x = -60
[tex] x = \frac{-60}{-4} = 15 [/tex]
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
Enter the correct answer in the box. What is this expression in simplified form?
3\sqrt{88}
Answer: [tex]12\sqrt{5}[/tex]
Step-by-step explanation:
[tex]3\sqrt{88}[/tex]
88 can be rewritten as 8 x 10 and 8 can be rewritten as [tex]2^2*2[/tex] making a 2 come out of the root.
[tex]3\sqrt{2^2*2*10}\\ 3*2\sqrt{2*10}\\6\sqrt{2*10}[/tex]
10 can be rewritten as 2 x 5.
[tex]6\sqrt{2*2*5}[/tex]
2*2 can also be rewritten as [tex]2^2[/tex] making a 2 come out of the root.
[tex]6\sqrt{2^2*5}\\ 6*2\sqrt{5}\\ 12\sqrt{5}[/tex]
We can't keep simplifying the root.
you are mountain climbing with a friend. you need to reach a ledge that is 22 feet above you
Answer:
x+22
Step-by-step explanation:
you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.
five whole numbers are written in order (4, 6, x, y, 10). The mean and median of the five numbers are the same. Work out the values of x and y.
Answer:
x = 7
y = 8
Step-by-step explanation:
Knowing that the mean is equal to the median, we can formulate the following equation:
⅕(4 + 6 + x + y + 10) = x
Simplifying it, we get:
y = 4x - 20
Now, we know that both x and y are between 6 and 10 and that y is greater than x;
Mathematically, we have the conditions:
6 =< x =< 10
6 =< y =< 10
y > x
If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;
This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;
Once we know this, we can find y simply by subbing it into the equation formulated previously:
y = 4(7) - 20
y = 8
Factor the perfect square trinomial 25x^2-60x+36
Since it is a perfect square trinomial, it is of the form:
a^2x^2-2abx+b^2 which simplifies to (ax-b)^2
Therefore:
sqrt(a)=sqrt(25)=5
sqrt(b)=sqrt(36)=6
Plug in a and b:
(ax-b)^2
(5x-6)^2
Test to make sure it did fit the formula:
-2abx=-60 (where x is 1)
-2(5)(6)=-60
-2(30)=-60
-60=-60
Answer:
(5x-6)^2
Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
these 2 questions please will mark brainly
Answer:
[tex]28\sqrt{2}[/tex]
Step-by-step explanation:
To answer this question, you must split 98 into 2 factors:
98
2 49
7 7
2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:
[tex](7)4\sqrt{2}[/tex]
[tex]28\sqrt{2}[/tex]
I rolled a standard 6 sided die a total of 20 times and got the results as shown in the table below. Calculate the THEORETICAL probability of rolling a 5. (Round your answer to the nearest hundredths place.)
Die Roll:
1 0
2 1
3 4
4 5
5 9
6 1
Answer:
Step-by-step explanation:45
Answer:
About 0.17
Step-by-step explanation:
Rolling a 5: 1/6
1/6=0.166666...
Therefore, about 0.17
I hope this helped and have a good rest of your day!
An adult ticket at an amusement park costs $29.95 and a child’s ticket costs $21.95. A group of 15 people paid $353.25 to enter the park. How many were children?
Write the equations:
a +c = 15
a = 15-c
29.95a + 21.95c = 353.25
Replace a in the last equation:
29.95(15-c) + 21.95c = 353.25
Simplify:
449.25 - 29.95c + 21.95c = 353.25
449.25 - 8.00c = 353.25
Subtract 449.25 from both sides:
-8.00c = -96.00
Divide both sides by -8.00:
c = -96 / -8
c = 12
There were 12 children.
the rational number of 2 x -7/4
Which of the following descridbes the translation of the graph of y=x^2 to obtain the graph of y=-x^2-3
Answer:
the graph translated down 3 or y-3
Step-by-step explanation:
(-3) is the y-intercept
Pls help me answer this if ur good at algebra. Thanks .
Answer:
Step-by-step explanation:
Answer of this question is 2
Answer:
Step-by-step explanation:
which of the following is equivalent to 5 cube root 13^3
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
What is 20 divided by 2
Answer:
10
Step-by-step explanation:
10 x 2 = 20
10 = 20 / 2
Answer:
10
Step-by-step explanation:
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20
type an equation for the line shown in the graph
if i fail a class for one semester will i fail6th grade
Answer:
yes you will because you need to pass all subject now if your in home school if you fail one subject you would have to see because not all schools are the same so... yeah but in my opinion if you fail one subject you do fail 6 grade I mean thats what I think I am in 9th grade so I dont remember that much
Step-by-step explanation:
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
Aaron baked two identical cakes. He cut one into 9 equal
slices and the other into 18 equal slices.show that 2/3 of the 9-slice cake gives the same
number of pieces as 1/3 of the 18-slice cake.
Answer:
23
Step-by-step explanation:
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.
Answer: it will take 5 hours to reach -1 °F.
Step-by-step explanation:
The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence(the starting point)
d represents the common difference.
n = x = the number of terms in the sequence(number of hours)
From the information given,
a = 0(at 1 pm, number of hours is 0)
d = - 4 degrees (it is decreasing)
Tn = -1 °F.
We want to determine the number of hours, x when Tn = -1 °F
Therefore,
- 1 = 0 + (x - 1)- 4
- 1 = - x + 4
x = 4 + 1
x = 5 hours
calculate the area of this figure to the nearest tenth
Answer:
what is the figure my guy
Step-by-step explanation: blah blah blah math blah blah blah
Order each set of the numbers from LEAST to GREATEST
0.23, 19%, 1/5
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.
Answer:
0 = x2 - 9x + 20
Step-by-step explanation:
y + 5x = x² + 10 Simplify this equation
- 5x - 5x
y = x² - 5x + 10
Set both equations equal to each other since they both equal y
x² - 5x + 10 = 4x - 10
-4x - 4x
x² - 9x + 10 = -10
+ 10 + 10
x² - 9x + 20 = 0
If this answer is correct, please make me Brainliest!
What is the value of the expression (2 Superscript 4 Baseline) squared?
Answer:
{(2^4) }^2
=16^2
= 256
................
Answer:
256
Step-by-step explanation:
Find the area of a rectangle with the given base and height 9ft , 3in
Answer:
324 in^2
Step-by-step explanation:
If you transfer the 9 ft to inches you get 108 in
108x3=324
Answer:
21
Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.
The equation of a circle is given below.
x^{2}+(y+4)^{2} = 64x
2
+(y+4)
2
=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64
What is its center?
((left parenthesis
,,comma
))right parenthesis
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
[tex]x^2+(y+4)^2=64x[/tex] (2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):
[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]
you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)
