Find the suface area of the regular pyrimid 15, 12, r 7.5

ArbitrLikvidat [17]

Step 1 : 1 Simplify — 5 Equation at the end of step 1 : 1 (— • (p + 10)) - -15 = 0 5 Step 2 :Equation at the end of step 2 : (p + 10) ———————— - -15 = 0 5 Step 3 :Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 5 as the denominator :

-15 -15 • 5 -15 = ——— = ——————— 1 5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(p+10) - (-15 • 5) p + 85 —————————————————— = —————— 5 5 Equation at the end of step 3 : p + 85 —————— = 0 5 Step 4 :When a fraction equals zero : 4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

p+85 ———— • 5 = 0 • 5 5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
p+85 = 0

Solving a Single Variable Equation :

4.2 Solve : p+85 = 0

Subtract 85 from both sides of the equation :
 p = -85

One solution was found : p = -85

7 0

3 years ago

(Before you answer I am looking for how I do it. I have the answers but I need to know an equation to do this instead of using l

Tema [17]

Answer:

14 and 16.

Step-by-step explanation:

We know that two consecutive even numbers is 30.

Let's let n be any number.

Then the first even number must be 2n.

This is because n can be any number, either even or odd. However, if we multiply it by 2, this ensures that 2n is even. Remember that any number multiplied by 2 yields an even number.

Therefore, the consecutive even number will be (2n+2). Not (2n+1), because that gives an odd number.

We know that they sum to 30. So, we can write the following equation.

$(2n)+(2n+2)=30$

And we solve from there:

$4n+2=30\\\Rightarrow4n=28\\\Rightarrow n=7$

So, the value of n is 7.

Therefore, the first even number is 7(2)=14.

And the consecutive even number is 16.

Edit: Typo

7 0

3 years ago

What four consecutive intergers have a sum of -34

Ivenika [448]

Answer:

-7, -8 , -9 and -10 are such four integers.

Step-by-step explanation:

Let the first integer = k

So, the next three consecutive integers are ( k+1), ((k + 1) + 1) and (((k + 1) + 1) +1)

or, k , (k +1), (k +2) and (k +3) are four consecutive integers.

Now, their sum is -34.

⇒k + (k +1) + (k +2) + (k +3) = -34

or, 4k + 6 = -34

or, 4k = - 34 - 6 = -40

⇒ k = -40/ 4 = -10

Hence, the first integer k = -10

The next integer = k + 1 = -10 + 1 = -9

Similarly next two integers are -8 and - 7.

So -7, -8 , -9 and -10 are such four integers.

7 0

3 years ago

A boat starts from a port and moves 12 miles north and then moves 5 miles east. what is the present distance of the boat from th

disa [49]

If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.

Solution:

h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13

The present distance of the boat from the port is 13 miles.

7 0

3 years ago

-9 divided by 5/8 equals

DedPeter [7]

-9 divided by 5/8 equals
-9 / (5/8) <---Turn the second fraction upside down, then multiply.

= -9 * 8/5
= -72/5
= -14 2/5
= -14.4

4 0

3 years ago