How do I find the slant height of a square pyramid? The base length is 4 inches and the area of it is 136 square inches.
Thank you!

Answers

Answer 1

Answer: A = 2bs + b^2; where A = area of pyramid; b = base length; s = the slant height;
136 = 8s + 16 ;

8s = 120;

s = 15 inches;

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7. Use the Division Property of Equality to complete the following statement. (1 point)If 5x = 2y, then x = ?
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Please help

Answers

For this case we have the following equation:

$5x = 2y$

To find the value of "x", we use the division equality property, that is, we divide by 5 on both sides of the equation:

$\frac {5x} {5} = \frac {2y} {5}\nx = \frac {2} {5} y$

Thus, using the mentioned property we have to: $x = \frac {2} {5}y$

Answer:

$x = \frac {2} {5} y$

Is it possible for a trapezoid to have 3 right angles

Answers

No, because if a trapezoid were to have three right angles, the fourth angle would also be right, because the angles of a quadrilateral add up to 360, and a quadrilateral with four right angles is a rectangle, which has two sets of parallel sides instead of one set like a trapezoid does.

No, this is because if a trapezoid has 3 right angles, the fourth and last one would also have to be a right angle and it is supposed to be an acute angle. To make it less confusing, a right angle is is in the shape of a "L" and if it had three "L's" it would have to have another one too which would then make it a rectangle. I hope I helped!!

A flower shop sells tulips and roses. The price of each tulip is the same, and the price of each rose is the same. One customer bought 7 tulips and 9 roses for $25.90. Another customer bought 4 tulips and 8 roses for $19.80. How much will it cost a customer to buy 5 tulips and 6 roses?

Answers

You can use system of linear equations to find the solution.

The cost to customer to buy 5 tulips and 6 roses will be $17.75

Given that:

The price of all tulips are same.
The price of all roses are same.
Price of 7 tulips and 9 roses is $25.90
Price of 4 tulips and 8 roses is $19.80

To find:

Cost of buying 5 tulips and 6 roses.

Naming the prices:

Let price of one tulip be $x
Let price of one rose be $y

Forming system of equations:

By given data, we have:

7 tulip + 9 roses costs $25.90

$7x + 9y = 25.9$

And

4 tulips + 8 roses costs $19.8

$4x + 8y = 19.8$

Thus, we have two equations.

Using method of substitution:

From equation first, we have:

$7x + 9y = 25.9\n\nx = (25.9-9y)/(7)$

Substituting this value in second equation, we get:

$4((25.9 - 9y)/(7)) + 8y = 19.8\n\n103.6 - 36y + 56y = 138.6\n20y = 138.6 - 103.6\n\ny = (35)/(20) = 1.75\n$

Thus, we have:

$x = (25.9-9y)/(7) \n\nx = (25.9 - 15.75)/(7) = 1.45$

Thus, the price of a tulip = x = $1.45

and the price of a rose = y = $1.75

Now, calculating price of 5 tulips and 6 roses:

$\: \rm Total \: Cost = 5x + 6y = 5 * 1.45 + 6 * 1.75 = \$17.75$

Thus, the cost to a customer who buys 5 tulips and 6 roses would be $17.75

Learn more about system of linearequations here:

brainly.com/question/13827324

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Step-by-step explanation:

Let,

Cost of one tulip = x

Cost of one rose = y

According to given statement;

7x+9y=25.90 Eqn 1

4x+8y=19.80 Eqn 2

Multiplying Eqn 1 by 4

$4(7x+9y=25.90)\n28x+36y=103.60\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 7

$7(4x+8y=19.80)\n28x+56y=138.60\ \ \ Eqn\ 4\n$

Subtracting Eqn 3 from Eqn 4

$(28x+56y)-(28x+36y)=138.60-103.60\n28x+56y-28x-36y=35\n20y=35$

Dividing both sides by 20

$(20y)/(20)=(35)/(20)\ny=1.75$

Putting y=1.75 in Eqn 1

$7x+9(1.75)=25.90\n7x+15.75=25.90\n7x=25.90-15.75\n7x=10.15$

Dividing both sides by 7

$(7x)/(7)=(10.15)/(7)\nx=1.45$

Cost of 5 tulips and 6 roses = 5x+6y = 5(1.45)+6(1.75) = 7.25+10.50 = $17.75

It will cost a customer $17.75 to buy 5 tulips and 6 roses.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height? please help!

Answers

the surface area is 136

you need to subtract the surface area of the base. It is a square pyramid, so both the sides are 4 inches, meaning you need to multiply 4x4 which is 16 and subtract it from the rest of the area. 136-16=120

There are four identical triangles that have identical surface area because it is a square triangle. So you can divide 120 by four to get the area of one of the triangles. 120/4=30

the formula for the area of a triangle is 1/2 base x height. We know that the base is 4 because that is the length that was given to us. so we can plug in our numbers into the formula

30=1/2(4)(height)

30=2(height)

and from there we can solve. 30/2=15

the height of the triangle is 15, which is also the slant height

to check our work, 1/2(4)(15)=30

4x15=60

1/2x60=30

In a group of 48 children there are twice as many boys than girls how many girls are there

Answers

let x be the number of girls
let 2x be the number of boys
given that There are 48 children.

x+2x=48x=48/3x=16
therefore there are 16 girls in the group...

If you take 48 divied by 3 you get 16 and 16+16 =32 guys
32+16=48
16 girls

Martin is saving for a gaming system. The total cost of the gaming system and three games is $325.49. About how much money should he save per week to puchase the gaming system and games in 10 weeks