5²-64÷4 simplify and show the steps

Sin70° cos80° + cos70° sin80°

kirill [66]

The answer for your question is (1/2) and alternate form is 0.5 and 2^-1

8 0

3 years ago

There are 1,523 students at Eden Elementary School, 1,471 students at Logan Elementary School, and 2,697

Fantom [35]

Answer:

6000 students

Step-by-step explanation:

Since the added value of the total number of students would be 5691, so if you wound up, it would be around 6,000

5 0

3 years ago

Ezra is baking cookies his recipe uses 200 grams of sugar to make 48 cookies. He wants to know how many cookies he can make with

Tcecarenko [31]

We are asked to find the proportion of sugar to number of cookies

Sugar = 200g

Number of cookies = 48

proportion of sugar to cookies = 200 : 48

how many cookies he can make with 350 grams of sugar?

let x = number of cookies

proportion of sugar to cookies = 350 : x

equate the <em>proportions</em>

200 : 48 = 350 : x

200/48 = 350/x

cross product

200 × x = 350 × 48

200x = 16800

x = 16800/200

x = 84 cookies

find the number of cookies, y, Ezra can make with x grams of sugar?

y = grams of sugar, x / number of cookies

y = 350/84

y = 4.17x

Therefore,

Ezra can make 84 cookies with 350 grams of sugar

Read more:

brainly.com/question/3796978

3 0

3 years ago

Use the Distance Formula and the Pythagorean Theorem to find the distance between each pair of points. M (10, −4) and N (2, −7)

xenn [34]

Answer:

$d=\sqrt{73}\approx8.54$

Step-by-step explanation:

So we have the two points (10,-4) and (2,-7).

And we want to find the distance between them using the Distance Formula and the Pythagorean Theorem. Let's do each one individually.

1) Distance Formula.

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Let's let (10,-4) be (x₁, y₁) and let's let (2,-7) be (x₂, y₂). So:

$d=\sqrt{((2)-(10))+((-7)-(-4))^2$

Simplify:

$d=\sqrt{(2-10)^2+(-7+4)^2$

Subtract:

$d=\sqrt{(-8)^2+(-3)^2$

Square:

$d=\sqrt{64+9}$

Add:

$d=\sqrt{73}$

Approximate:

$d\approx8.54$

So, the distance between (10,-4) and (2,-7) is approximately 8.54 units.

2) Pythagorean Theorem

Please refer to the graph.

So, we want to find the distance. This will be the length of the red line, or the hypotenuse.

First, let's find the length of the two legs.

The longer leg will be the difference between the two x-coordinates. So, the length of the longer leg is:

$(10-2)=8$

Note: It doesn't matter if we do 2-10, which gives -8, since we are going to square anyways. Also, distance is always positive, so 8 would be our answer.

And the shorter leg is the difference between the two y-coordinates. Namely:

$(-7-(-4))=-3=3$

So, the shorter leg is 3 units.

So now, we can use the Pythagorean Theorem, which is:

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

Substitute 8 for a and 3 for b. So:

$(8)^2+(3)^2=c^2$

Square:

$64+9=c^2$

Add:

$c^2=73$

Take the square root:

$c=\sqrt{73}\approx8.54$

This is the same as our previous answer, so we can confirm that it's correct.

So, using both the distance formula and the Pythagorean Theorem, the distance between the two points is approximately 8.54.

And we're done!

5 0

3 years ago

Read 2 more answers

A consumer wanted to find out how accurate Siri (an Apple digital assistant) is, so he asked questions on general facts and reco

Mashcka [7]

Answer:

The answer is "0.869"

Step-by-step explanation:

Number of sample $(n) = 84$

Number of correct response $(X) = 73$

Calculating the Sample proportion:

Formula:

$\text{Sample proportion}=\frac{\text{number of sample}}{\text{correct responses}}$

$=\frac{n}{X}\\\\= \frac{73}{84} \\\\=0.869$

6 0

3 years ago