Answer:
x > 7
Step-by-step explanation:
-3 < x - 10
Subtract x from both sides.
-x - 3 < -10
Add 3 to both sides.
-x < -7
Divide both sides by -1. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > 7
Can someone help me with these transformations// marking brain— due today.
Answer:
Read below.
Step-by-step explanation:
a. reflection over the x-axis, translate 2 units up
b. rotate 90° counterclockwise or 270° clockwise
c. use a scale factor of 2 and translate 3 units down, 3 units left
d. translate 8 units right, 7 units up
I'm not so sure about c since I do not like scale factors.
With the help of a rope rly labeled diagram find the exact value of sin 120
Find the exact value of cos (7pi/12)
Answer:
[tex] \cos \bigg( \frac{7\pi}{12} \bigg)= \frac{1 - \sqrt{3} }{2 \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{7\pi}{12} \bigg) \\ \\ = \cos \bigg( \frac{7 \times 180 \degree}{12} \bigg)\\ \\ = \cos \bigg( {7 \times 15 \degree} \bigg)\\ \\ = \cos \bigg( {105 \degree} \bigg)\\ \\ = \cos \bigg( {60\degree + 45 \degree} \bigg) \\ \\ = \cos {60\degree .\cos 45 \degree} - \sin {60\degree .\sin 45 \degree} \\ \\ = \frac{1}{2} . \frac{1}{ \sqrt{2} } - \frac{ \sqrt{3} }{2} .\frac{1}{ \sqrt{2} } \\ \\ = \frac{1}{2 \sqrt{2} } - \frac{ \sqrt{3} }{2 \sqrt{2} } \\ \\ \huge \purple{ \boxed{ \cos \Bigg( \frac{7\pi}{12} \Bigg)= \frac{1 - \sqrt{3} }{2 \sqrt{2} } }}[/tex]
The exact value of cos (7 pi/12) would be,
⇒ cos (7 pi/12) = - 0.2588
We have to given that,
An equation is,
⇒ cos (7 pi/12)
Now, WE can change it into degree as,
⇒ cos (7 pi/12)
⇒ cos (7 × 180 / 12)
⇒ cos (7 × 15)
⇒ cos 105°
⇒ cos (90 + 15)°
⇒ - sin 15°
⇒ - (√3 - 1) / 2√2
⇒ - 0.2588
Thus, The exact value of cos (7 pi/12) would be,
⇒ cos (7 pi/12) = - 0.2588
Learn more about trigonometric ratios at:
brainly.com/question/1836193
#SPJ2
hallar M x M / x + y =4
Answer:
M x M / x + y =4
Step-by-step explanation:
i need to find the value of x in this picture
m<FJI=90°, so
[tex]x + x + 4 + 3x - 9 = 90 \\ 5x = 95 \\ x = 19[/tex]
Answer: x=19
Answer:
x=73
Step-by-step explanation:
3x-9+x+4+x=360
5x-5=360
5x=360+5
5x=365
x=365÷5
x=73
An architect builds a 1/50 scale model of a proposed buildings for a client. The volume of the model is what fraction of the volume of the proposed building?
Answer: 1/125,000
Step-by-step explanation:
If the lenght of the building is L, the height is H, and the width is W, the volume of the building is V = L*H*W
Then for the model we will have that each measure is 1/50 times the original, this is:
lenght = L/50
height = H/50
widht= W/50
The volume of the scale model is:
V' = (L/50)*(H/50)*(W/50) = L*H*W/50^3
So we have the volume of the actual building divided 50^3
This means that the volume of the scale is 1/50^3 = 1/125,000 times the volume of the actual building.
PLEASE HELP! Riley reached into his pocket and pulled out a total of 27 coins, consisting of quarters and dimes. If the total value of the coins is $5.55, how many quarters does he have?
Answer:
He has 19 quarters.
Step-by-step explanation:
To solve this, we can set up a system of equations.
Let's first name our variables.
x: number of quarters
y: number of dimes
Using this, we can write the following equations.
Number of coins: x+y=27
Total Value: 0.25x+0.1y=5.55
We can rewrite the first equation to x=27-y by subtracting y from btoh sides. This way, we can substitute 27-y in for x.
0.25(27-y)+0.1y=5.55
Distribute.
6.75-0.25y+0.1y=5.55
Combine like terms.
6.75-0.15y=5.55
Subtract 6.75 from both sides.
-0.15y=-1.2
Divide both sides by -0.15
y=8
There are 8 dimes.
We can use that to find the number of quarters by plugging it in to one of the equations.
x+y=27
x+8=27
Subtract 8 from both sides.
x=19
He has 19 quarters.
The table shows the results of selecting a marble from a bag without looking and then putting it back in the bag . Marbles Selected Color Time Selected Purple Orange Black White Green Using these results , what is the probability that a black marble will be the next color selected ?
Answer:
1 in 5
Step-by-step explanation:
Will mark as brainliest if correct
Answer:
x=0.885622
Step-by-step explanation:
Dont forget to round
Answer:
0.77
Step-by-step explanation:
7=9x
9x/9
7=x
7/9=0.77777777777
If the radius of a cone is 5 in and the height is 12 in what is the volume of the cone
Answer:
Volume of cone = 314 in³
Step-by-step explanation:
Radius of the cone (r) = 5 in
Height of the cone (h) = 12 in
[tex]Voume \: of \: the \: cone = \frac{1}{3} \pi {r}^{2} h \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times \pi \times {(5)}^{2} \times 12\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times \pi \times 25 \times 12\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times \pi \times 300 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \pi \times 100\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 314 \: {in}^{3} [/tex]
Purple paint is a mix of blue paint and red paint in the ratio of 7:4
How much blue and red paint is needed to make 1650 mL of purple paint?
Pls
Need help with this problems asap.
Answer:
Step-by-step explanation:
[tex]V=whl=3*4*2=24units^3[/tex](grey)
[tex]V=whl=6*8*4=192units^3[/tex](green)
They are similar, the green is just double in size so a ratio of 1:2
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Formula for the perimeter of a quarter circle: C = ((pi x 2 x r) / 4) + r + r
32.13 = (6.28r / 4) + 2r
32.13 = 1.57r + 2r
32.13 = 3.57r
r = 9 yards
Hope this helps! :)
A cone has a 4 radius and a 8 height what is the volume
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).
4²=16
16×3.14= 50.24
Now, we multiply our base by the height.
50.24×8=401.92
Finally, we divide by three.
401.92÷3≈133.973 (to nearest thousandth)
Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!
Now you can find the volume of cones!
I hope that this helps! Have a wonderful day!
Do these side lengths make a right triangle? 6, 8, 10
Answer:
Yes
Step-by-step explanation:
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]10^{2}[/tex]
36 + 64 = 100
The Pythagorean theorem is true.
A circle has a radius of 5/6 units and is centered at (3.6, 7.8).
Write the equation of this circle.
Answer:
Circle Equation: ( x - 3.8 )^2 + ( y - 7.8 )^2 = 25/36
Step-by-step explanation:
* Knowing a circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k) and the radius being "r" *
Let us substitute values into this equation; provided ( 3.8, 7.8 ) is the center:
( x - 3.8 )^2 + ( y - 7.8 )^2 = r^2,
Now substitute value of r, or rather the radius 5/6:
( x - 3.8 )^2 + ( y - 7.8 )^2 = ( 5/6 )^2 ⇒
Circle Equation: ( x - 3.8 )^2 + ( y - 7.8 )^2 = 25/36
* Sorry this wasn't answered earlier *
The population of a bacteria after x number of hours is modeled by the expression 1 , 000 ( 0 . 75 ) x . What is the rate of decay of the population of bacteria? A. 25% B. 75% C. 0.75% D. 1.25%
Answer:
A. 25%
Step-by-step explanation:
If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%
Answer:
A 25%
Step-by-step explanation
the first thing we want to do for this problem is look at the exponential decay formula. its y=a(1-b)^x. "y" represents the final amount, "a" represents the original amount, and "b" represents the decay factor.
in this situation, .75 is the decay factor and our original amount is 1000. so to find out the decay factor, we need to subtract .75 from 1. you would get .25. .25 in percentage form is 25%.
we can double check by putting .25 in the orginal exponential decay formula. y=1000(1-.25)^x. 1-.25 equals .75, so now the equation is the same as our original equation, y=1000(0.75)^x
Two similar triangular pastures meet at a
vertex, The dimensions are glven in yards,
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
x
у
A 28.2 yards
42.7 yards
47 yards
59.8 yards
Note that this is still a rectangle, and the length of the fencing is still 600 ft.
So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.
This makes the two equations: 2x + y = 600, and A = xy.
To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.
y = 600 - 2x. and A(x) = x(600-2x)
We now need to maximize A(x) = 600x - 2x2.
Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.
So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.
So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2
I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.
A right triangle has sides of length 3, 4, and x. Find x, if x were one of the legs. (Round your answer to the nearest hundredth)
Answer:
x ≈ 2.65(nearest hundredth)
Step-by-step explanation:
Base on your question the triangle is a right angle triangle. This means the triangle should obey the Pythagoras theorem.
Pythagoras theorem says
c² = a² + b²
where
c = hypotenuse of the triangle
a and b are called the legs of the triangle.
The hypotenuse is the longest side of the triangle.
Recall your question says the unknown side x is one of the legs of the triangle. That means the other legs will definitely be 3 since the hypotenuse should be the longest side of the triangle which is 4.
Using Pythagoras theorem
4² = 3² + x²
16 - 9 = x²
7 = x²
square root both sides
x = √7
x = 2.64575131106
x ≈ 2.65(nearest hundredth)
Michael is saving to buy his senior ring. The base cost of the ring is $280. There are also upgrades he can purchase for the ring. If he saves $35 each month, which solution represents how many months it will take Michael before he can purchase his ring?
Answer:
It will take him 8 months.
Step-by-step explanation:
If you divide 280 and 35 you get 8, which is the amount of months it takes.
The diagram shows the layout of Lena's kitchen. She is
planning to cover the floor with tile.
9 ft
One package of tile will cover 3 square foot. How many
packages of tile will she need?
8
13
2 ft
15
5 ft
39
7 ft
Answer:
13 packages
Step-by-step explanation:
We need to first find the area of the composite figure. We can draw a horizontal line through the figure so that it is broken up into two rectangles.
The top rectangle has dimensions of 9 ft by 2 ft, while the bottom rectangle has dimensions of 3 ft by 7 ft. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.
Here, the top rectangle has width 9 and length 2, so the area is A = 9 * 2 = 18 square feet. The bottom rectangle has width 7 and length 3, so the area is A = 7 * 3 = 21 square feet. Add these up:
18 + 21 = 39 square feet
We know that each package of tile will cover 3 square feet, so divide 39 by 3 to get the number of packages needed:
39 / 3 = 13
The answer is 13 packages.
Answer:
13
Step-by-step explanation:
Larger rectangle - smaller rectangle
(9×5) - [(5-2)×(9-7)]
45 - (3×2)
45 - 6
39 ft²
1 package : 3 ft²
X packages : 39 ft²
X/1 = 39/3
X = 13 packages
Listen
Cameron is going to the market to buy some vegetables. He has $20 to spend. He plans on buying peppers and onions. If he spends more than $12 on the onions, which inequality
represents the amount of money Cameron can spend on peppers, p?
Answer:
x = amount of money he spends on peppers
0<x<8
if it's 12 or more dollars than 20-12=8 which can be your greatest number and 0 being the lowest range based on the actual amount spent on onions. make sure to put a line under the inequality signs to show that it can also be equal to the number.
Solve the inequality:
4-x<9
｡☆✼★ ━━━━━━━━━━━━━━ ☾
4 - x < 9
Subtract 4 from both sides
4 - x - 4 < 9 - 4
Now we have:
- x < 5
Divide both sides by -1
x < -5
When you divide an inequality by -1, the sign flips
Thus, your answer would be:
x > -5
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
PLEASE HELP with math
Answer: 113.1
2 π r
2 π 18
113.1 answer not sure if it is right
Step-by-step explanation:
a x 10^5 + 2a x 10^4 = 7200000 and a x 10^5 - a x 10^4 = 5400000
Find the value of a
Answer:
60
Step-by-step explanation:
Looking at case 1.
a * 10^5 + 2a * 10 ^4= 7200000
a * 10 * 10^4 + 2a *10 ^4 =7200000
[10a + 2a] * 10^4= 7200000
12a= 7200000/ 10000
12a= 720
a= 720/12 = 60
Looking at case 2,
a * 10^5 - a * 10^4 = 5400000
a * 10 * 10^4 - a *10^4 = 5400000
10a* 10^ 4 - a * 10^ 4 = 5400000
[10a- a] *10^4 = 5400000
9a = 5400000/10000
9a= 540
a =540/9
a= 60
1. y = 5x − 6 m= _______ b=_________
Answer:
m = 5
b = -6
Step-by-step explanation:
y = mx + b
Answer:
m = 5 and b = -6
Step-by-step explanation:
y = mx + b
y = 5x + (-6)
Simplify negative 15.5 divided by 5. and pls tell me how to simplify and give a step by step explanation thanks!
Answer:
The answer is -3.1, or 3 1/10.Since diving a negative and a positive equals a negative, your quotient will be negative. You can start by removing the 0.5, and divide 15 by 5 which is 3. Then with the 0.5 from -15.5, divide it by 5 and you get 0.1. 3 plus 0.1 is 3.1, and since it has to be negative, it's -3.1.
Step-by-step explanation:
i tried, have a nice day (:
Why does 4x - 3 = 4x + 5 have no solutions?
Step-by-step explanation:
4x - 3 = 4x + 5
4x - 4x = 5 + 3
0 = 8
x is disappear and 2 both sides are not equal
Answer:
If you subtract 4x from both sides there are different numbers so the equation isn't equal so the equation is impossible
4x-4x=3
4x-4x=5
3≠5
Hope this helps
Step-by-step explanation:
Dara invests $800 at 12.5% per
annum compound interest compounded
half-yearly .What in his amount of
interest at the end of the first year?
need help asap xd
Answer:
By the end of the first year Dara will have $903.125 in his account.
Step-by-step explanation:
Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:
M(t) = M(0)*(1 + r/n)^(n*t)
Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.
In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:
M(1) = 800*(1 + 0.125/2)^(2*1)
M(1) = 800*(1.0625)^(2)
M(1) = 800*(1.0625)^(2) =903.125
By the end of the first year Dara will have $903.125 in his account.
Adrian and his children went into a bakery and where they sell donuts for $1.50 each and brownies for $2.50 each. Adrian has $40 to spend and must buy a minimum of 20 donuts and brownies altogether. If x represents the number of donuts purchased and y represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
10 donuts and 10 brownies
Step-by-step explanation:
In this case we must solve the system of equations that do not say in the statement:
at least 20 must be, therefore:
x + y = 20 => x = 20 - y
1.5 * x + 2.5 * y = 40
replacing:
1.5 * (20 - y) + 2.5 * y = 40
30 - 1.5 * y + 2.5 * y = 40
y = 40 - 30
y = 10
now for x:
x = 20 - 10
x = 10
therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies