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3 years ago

This is Geometry. Can someone help me find the side length asked for?

Mathematics

1 answer:

s2008m [1.1K]3 years ago

8 0

The trick is to recognize a few things.

1. These are similar triangles, so the ratio of BU to BC is the same as BT to BA and UT to CA.

$\dfrac{BU}{BC}=\dfrac{BT}{BA}=\dfrac{UT}{CA}$

2. BC = 2 BUs and BA = 2 BTs

This means the sides of the short triangle are half the length of the sides of the big triangle.

Put in other words, CA = 2 UT

Put into an equation x+29 = 2(x+19).

x + 29 = 2x + 38

–9 = x

So that means UT = 10 and CA = 20

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Last year my family decided to put on a play It was A Great success . 200 people attended and we earned a total of 800 . If adul

nata0808 [166]

Answer:

200 adults

Step-by-step explanation:

We can set-up a system of equations to find the number of adults. We know children and adults attended. We will let c be the number of children and a be the number of adults. Since 200 people attended, then c+a=200.

We also know they made $800 and adult tickets cost $4 and child tickets cost $2. We can write 2c+4a=800.

We will solve by substituting one equation into the other. We start by solving the first equation for c. c+a=200 becomes c=200-a.

Now we substitute c=200-a into 2c+4a=800. Simplify and isolate the variable a.

2(200-a)+4a=800
400-2a+4a=800
400+2a=800
400-400+2a=800-400
2a=400
a=200

This means that 200 adults attended and 0 children attended.

8 0

4 years ago

7) The weight of a box is 125kg. Le Goff charge €1.92 per kg to deliver these boxes to

Sonbull [250]

Answer:

€ 240

Step-by-step explanation:

<h2><u>How much does Le Goff charge to deliver each box?</u></h2><h3><u>ratio</u></h3>

since 1 kg is € 1.92

we can find out the cost of 125 kg by using<em><u> cross multiplication</u></em>

kg €

1 : 1.92

125 : x

x = 1.92 * 125

x = 240

<u>Le Goff charges € 240 to deliver each box</u>

<u></u>

7 0

3 years ago

For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se

Andrew [12]

Answer:

(a) $n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) $n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

$f(1) = 1$

$f(n) = f(n-1) * n$

Step-by-step explanation:

(a) This is a sequence of consecutive number

$n^{th} = n$

$f(1) = 1$

$f(n) = f(n-1) + 1$

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

$n^{th} = 2^{n-1}$

$f(1) = 1$

$f(n) = f(n-1) * 2$

$n^{th} = n!$

$f(1) = 1$

$f(n) = f(n-1) * n$

5 0

3 years ago

A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the la

Lady bird [3.3K]

Answer:

applying trigonometry

base= 30inches

height= 50inches

angle between ladder and ground = 59.04°

for the length of the ladder...

sin59.04 = opposite side ÷ hypotenuse

sin59. 04 = 50inches ÷ hypotenuse

0.8575 = 50 inches ÷ hypotenuse

cross multiply;

hypotenuse = 50inches ÷ 0.8575

the length of the ladder = 58.309inches

4 0

3 years ago

An executive invests $27,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,050, how much

Ierofanga [76]

8%X + 7%(27000-X) = 2050
.08X + 1890 + .07X = 2050
.15X = 160
X = $1067.67

5 0

3 years ago

Read 2 more answers