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4 years ago

4. Jada bought an art kit with 58 colored

Mathematics

2 answers:

morpeh [17]4 years ago

7 0

Answer: 19 1/3

Step-by-step explanation:

Elan Coil [88]4 years ago

4 0

Answer:

They each get 14 pencils there will be 2 left

Step-by-step explanation:

You might be interested in

Trucks in a delivery fleet travel a mean of 80 miles per day with a standard deviation of 30 miles per day. The mileage per day

bulgar [2K]

Answer: 0.1037

Step-by-step explanation:

Given : Mean : $\mu=80\text{ miles per day}$

Standard deviation : $\sigma = 30\text{ miles per day}$

The formula to calculate the z-score is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x = 97 miles per day ,

$z=\dfrac{97-80}{30}\approx0.57$

For x = 107 miles per day ,

$z=\dfrac{97-80}{30}=0.9$

The P-value = $P(0.57$

$=0.8159398-0.7122603=0.1036795\approx0.1037$

Hence, the probability that a truck drives between 97 and 107 miles in a day = 0.1037

6 0

3 years ago

Let theta be an angle in quadrant 2 such that cos theta =-3/4. Find the exact values of csc theta and cot theta.

Anna35 [415]

Step-by-step explanation:

Since $cos(\theta) = -\frac{3}{4}$ we can get some information from this. First of all $cos(\theta)$ is defined as $\frac{adjacent}{hypotenuse}$ . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find $sin(\theta)$ to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive

Pythagorean Theorem:

$a^2+b^2=c^2$

$(-3)^2 + b^2 = 4^2$

$9 + b^2 = 16$

$b^2 = 7$

$b = \sqrt{7}$

So now we can calculate $sin(\theta)$ .

$sin(\theta) = \frac{\sqrt{7}}{4}$

Now to calculate the exact value of csc you simply take the inverse. This gives you $csc(\theta)=\frac{4}{\sqrt{7}}$ . Multiplying both sides by sqrt(7) to rational the denominator gives you $\frac{4\sqrt7}{7}$ .

Now to calculate cot(theta) you find the inverse of tan. Tan is defined as $tan(\theta) = \frac{sin(\theta)}{cos(\theta)}$ . So all you do is take the inverse which is $cot(\theta) = \frac{cos(\theta)}{sin(\theta)}$ .

Plug values in

$cot(\theta) = \frac{-\frac{3}{4}}{\frac{4\sqrt{7}}{7}}$

Keep, change, flip

$-\frac{3}{4} * \frac{7}{4\sqrt7}$

Multiply:

$-\frac{21}{16\sqrt7}$

Multiply both sides by sqrt(7)

$-\frac{21\sqrt7}{112}$

This is the value of cot(theta)

8 0

2 years ago

What's the difference between 2x+2 and 2x+2=10?

Lapatulllka [165]

Answer:

Step-by-step explanation:

Given both expression

2x+2 and

2x+2=10

the difference inlvosves basically the subtraction of one expression from the other expression.

now before we perform the subtraction operation, let us do some preprocessing.

let us equate the first and second expression to zero

2x+2=0 and

2x+2-10=0

we can now subtract

(2x+2)-(2x+2-10)=0

open bracket

2x+2-2x-2+10=0

collect like terms

2x-2x+2-2+10=0

0+0+10=0

the answer is 10

8 0

3 years ago

Enter the numerical coordinates of the vertices of quadrilateral ABCD in the table. (Point A has been done for you.) Then predic

ASHA 777 [7]

Answer:

Type your response here : A B C D (-3, -2) (-2, -1) (-1, -2) (-1, -4) Line of ... (Point A has been done for you.) Then predict the numerical coordinates of the vertices of quadrilateral A ′ B ... Assume that the point translates a units to the left or right and b units up or down.

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%28-1%29%5E%7B2%7D%20%2B%202%5E%7B3%7D%20-0%5E%7B4%7D" id="TexFormula1" title="(-1)^{2} + 2^{3

Oxana [17]

Answer:

Step-by-step explanation:

$(-1)^{2} + 2^{3} -0^{4}$