Find x of the triangle

Answer:

- 164/4+50y/3+ify=0

Step-by-step explanation:

hope it helps

Answer:

  10.97 seconds

Step-by-step explanation:

You want to know when a rocket will hit the ground if its height is given by y = -16x² +170x +61, where x is seconds after launch.

The formula for the solutions of a quadratic equation is ...

  [tex]\text{for }ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

When we apply this to the equation y=0, we have ...

  [tex]x=\dfrac{-170\pm\sqrt{170^2-4(-16)(61)}}{2(-16)}=\dfrac{170\pm\sqrt{32804}}{32}\\\\x\approx 10.97\quad\text{seconds}[/tex]

The rocket will hit the ground after about 10.97 seconds.

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If p and q vary inversely and p is 5 when q is 4, the value of q when p is equal to 10 is 2.

An inverse variation can be defined as a type of proportionality which shows the relationship that exist between two (2) distinct variables, wherein, as the value of one variable increases, the value of the other variable decreases and vice-versa.

Mathematically, an inverse variation can be modeled or represented by this expression:

p ∝ 1/q

p = k/q

Where:

Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = pq

k = 5(4)

k = 20

Now, we can determine the value of q:

q = k/p

q = 20/10

q = 2.

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The number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least amount of calories is

The least number of calorie is 250 calories

given data

1. each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, 2 units of fat and will contain 20 calories

2. each ounce of nuts will supply 3 units of protein, 2 units of carbohydrates and 4 units of fat, and will contain 50 calories

3. Every package must provide at least 9 units of protein, at least 18 carbohydrates, and no more than 22 units of fat

To get at least 9 units of protein, we take at least 3 ounces of nut

3 ounces of nut will give 3 times each unit, and they are as follows

Another restriction is no more than 22 units of fat and we have 12 already remaining 10 units of fat

fruits has lesser calories hence we use it to get the required fats

10 units of fat ÷  2 units of fat in fruit = 5

5 ounces of fruit will give 5 times each unit, and they are as follows

Combining 3 ounces of nut and 5 ounces of fruit will give

Above maintains the requirements stated in the question with the minimal calorie

the required calorie  is 250

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Answer:

63

Step-by-step explanation:

12:36

36/12=3

21(3)=63

The equivalent ratio of longboard  3 : 10

What is Ratio ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

Given:

Long-boards        A           30

Skateboards        50        100

Find:

An equivalent ratio where the number of skateboards is 50.

Now,

⇒ Equivalent ratio = Long-boards / Skateboards

⇒ Equivalent ratio = 30 / 100

⇒ Equivalent ratio = 3 / 10

Now,  Equivalent value of Long-boards = Equivalent ratio × Number of skateboards

Equivalent value of Long-boards = [3 / 10] × 50

Equivalent value of Long-boards = 15

Then the ratio will be :

15 / 50 = 3 / 10

or, 3:10

Hence, equivalent ratio where the number of skateboards is 50. will be 3:10

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Answer:

Third option

Step-by-step explanation:

The intercept x-intercept of f¹(x) is 1 and y-intercept of f(x) is also 1.

Answer:

I need more information to solve this.

Step-by-step explanation:

Answer:

KML and LMK

Step-by-step explanation:

The width of the living room on the new blueprint is 15 feet.

Based on the information, the scale of the original blueprint will be:

= 2 in / 5 ft

The width of the original blueprint is 6 inches, the actual width of the living room will be:

2/5 = 6/x

where x = width of living room

Cross multiply

x = 5 × 6 / 2

x = 15 feet.

The width is 15 feet.

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If we solve for the value of x we find that x is any value which is greater than -36/11.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

It is given in question that a required number divided by 3 decreased by 7 is less than 4 times the number increased by 5.

Let's assume the number be x.

So , x divided by 3 is x / 3 and if we subtract it by 7 , we get :

x/ 3 - 7  

Also , this value is less than 4 times the number added with 5.

i.e.,

4x + 5

So , the inequality can be written as :

[tex]\frac{x}{3}[/tex] - 7 < 4x + 5

or

x - 21  <  12x + 15

-36 < 11x

or

-36 /11 < x

or

x > -36/11

or

x is greater than -36/11.

Therefore , if we solve for the value of x we find that x is any value which is greater than -36/11.

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The next step after drawing an arc with the compass from the first point of the construction will be, to pick a point on the arc that will be the second endpoint of the new segment. (a)

To copy a line we have to follow a few steps of the procedure.

The steps are;

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Step-by-step explanation:

+6,+10,+14,+18

+4+4+4

therefore quadratic 4/period function=2

[tex]y = 2{x}^{2} + bx + c[/tex]

y=2 x=1

[tex] 0 = b + c[/tex]

y=8 x=2

8=8+2b+c

0=2b+c

y=18 x=3

0=3b+c

therefore

the equation is 2x^2=y

Given the attached graph, the statement that is NOT true about scarlet's dive is that "She hits the water at 3 seconds." (Option D) See the explanation below.

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In this scenario, the relationship represented is between Scarlet's descent from a 10-foot platform and the time it takes her to complete the trajectory from point of dive to point of reaching the water.

Hence, it is clear from the graph attached that Scarlet hits the water at 3.25 seconds.

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Answer:

The average speed of the puck is 110 ft per second.

Step-by-step explanation:

Using the d = st formula to find distance when given the speed and time, you can rewrite it to be s = d/t.

When you substitute the values in, you get s = 66/0.6, which is 110.

Hope this helps.

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Answer:

150

Explanation:

Alright so basically, 150 x 40 = 6000, right? So you want to find out how to find it using the division process. It is a whole number with no fractional part. As division with remainder the result of 6000 ÷ 40 = 150 R 0.

6000 divided by 40 ⇒ 150.

Here given that,

6000 is divisible by 40

since we know that,

Division is a process of repeated subtraction. It is the inverse action of multiplication. It is characterised as the formation of equal groupings. When we divide numbers, we split them down into smaller amounts so that the multiplication of those smaller numbers equals the larger number taken.

6000 is divisible by 40 we get,

⇒ 6000/40

⇒ 150

So, the quotient is 150

Hence,

After dividing 6000 by 40 we get 150.

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Answer:

blank = - 3

Step-by-step explanation:

let x represent the blanks , then

[tex]\frac{2}{3}[/tex] ([tex]\frac{9}{5}[/tex] + x) = [tex]\frac{2}{5}[/tex] x + [tex]\frac{2}{5}[/tex]

multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions

10([tex]\frac{9}{5}[/tex] + x) = 6x + 6 ← distribute parenthesis on left side

[tex]\frac{90}{5}[/tex] + 10x = 6x + 6

18 + 10x = 6x + 6 ( subtract 6x from both sides )

18 + 4x = 6 ( subtract 18 from both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

The answer is given above

The customer can select the meal in 2016 ways.

There are four different methods to choose an appetizer, eight different ways to choose a salad, nine different ways to choose an entree, and seven different ways to choose a dessert. Customers can choose a meal in the range of 4*8*7*9 if, according to the multiplication rule, a meal includes an appetizer, a salad, an entree, and a dessert.

x = 4 * 8 * 7 * 9 =  2016 ways.

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Answer:

To convert the degrees to radians

we know that,

Radian is equivalent to the angle subtended at the centre of a circle by an arc equal in length to the radius.

we get that,

That is,

we get that,

Answer is: 0.8

The jumbo cans of frosting would she need to frost 280 cupcakes is 8 cans.

Addition simply means the sum of the numbers that are given.

In this case, Bette used 3 jumbo cans of frosting to frost 105 cupcakes for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an additional 175 cupcakes. This implies that the total cupcakes will be:

= 105 + 175 = 280

In this case, the cans used will be the addition of the cans above. This will be:

= 3 + 5

= 8 cans

This shows the concept of addition.

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First, we must find the total of females, it will be

Now we must look at the table how many females prefer suspense movies, it's

Now we do the quotient between the females that prefer suspense by the total of females:

Rounding it, we can say that approximately,

Or 20% of the females prefer suspense movies

Answer:

185 dimes and 73 quarters

Step-by-step explanation:

q + d = 258

25(q) + 10(d) = 3675

Answer: 9

Step-by-step explanation:

the value of -10 is 10 and the value of 19 is 19 s0 19 - 10

Answer:

1/9

Step-by-step explanation:

-1/9  + 2/9

Since the denominator is the same, we can add the numerators

(-1+2)/9 = 1/9

Answer:  ad bc is the answer

Step-by-step explanation: