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3 years ago

Find the values of x and y if (x+2,y)=(3,4).

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Answer:

x = 1 and y = 4

Step-by-step explanation:

Solution,

(x+2,y) = (3,4)

Now,

Comparing corresponding elements,

x+2 = 3 , y = 4

or, x = 3 - 2 , y = 4

or, x = 1 , y = 4

Therefore, the value of x is 1 and y is 4.

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a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar

Margarita [4]

A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18 cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem:

$h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x$

thus,

$Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2$

thus:

$x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\ \sqrt{3} }{3}=24 \sqrt{3}$ (cm^2)

but $x^{2}$ is exactly the base area, since the base is a square of sidelength = x cm.

So, the total surface area = base area + lateral area = $24 \sqrt{3}+72$ cm^2

Answer: $24 \sqrt{3}+72$ cm^2

4 0

2 years ago

Someone help me pls

Delicious77 [7]

Answer:

ans is 5 -¹⁸ thanks for asking

8 0

3 years ago

Pleaseee help quickly !!!!

lisabon 2012 [21]

Let's solve your equation step-by-step.

(− 5 /8 )(x)=−160

Step 1: Simplify both sides of the equation.

−5 /8

x=−160

Step 2: Multiply both sides by 8/(-5).

( 8 /−5 )x( −5 /8 x)=( 8/ −5 )*(−160)

x=256

Answer:

x=256

8 0

2 years ago

Donald bought a box of golf balls for 9.54 dollars.there were 18 golf balls in the box. about how much each golf ball cost

lesantik [10]

You just have to divide the amount spent by the number of golf balls.
$9.54 divided by 18 balls = $0.53 per golf ball

4 0

3 years ago

Taylor runs a smoothie shop and is in placing his order for a week.Each week he needs to have 2 gallons of pineapple juice and 4

Goryan [66]

Answer:

For pineapple juice

He need 160 more ounces of pineapple juice.

For orange juice

He needs 352 ounces more of orange juice.

Step-by-step explanation:

1 liquid gallon = 4 liquid quarts

1 liquid quart = 32 fluid ounces

Taylor runs a smoothie shop and is in placing his order for a week.

We are told that:

Each week he needs to have

a) For pineapple juice

2 gallons of pineapple juice

We convert these to quarts and ounces

1 gallons = 4 quarts

2 gallons = 2 × 4

= 8 quarts of pineapple juice

If he already has 3 quarts of pineapple juice

She needs: 8 quarts - 3 quarts

= 5 quarts

Converting these to ounces

1 liquid quart = 32 fluid ounces

5 quarts = x

Cross Multiply

=5 × 32 fluid ounces

= 160 fluid ounces

2) For orange juice

She needs to have 4 gallons of orange juice on hand

We convert these to quarts and ounces

1 gallons = 4 quarts

4 gallons = 4 × 4

=Hence she needs to have: 16 quarts of pineapple juice

If he already has 5 quarts of orange juice

She needs: 16 quarts - 5 quarts

= 11 quarts more

Converting these to ounces

1 liquid quart = 32 fluid ounces

11 quarts = x

Cross Multiply

=11 × 32 fluid ounces

= 352 fluid ounces

8 0

3 years ago

Read 2 more answers

Find the values of x and y if (x+2,y)=(3,4).​

Find the values of x and y if (x+2,y)=(3,4).