All categories

2 years ago

What is the answer to this question?

Mathematics

1 answer:

tamaranim1 [39]2 years ago

8 0

Answer:

A = 16.5 cm²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂ )

where h is the perpendicular height between bases and b₁, b₂ the bases

here h = 3, b₁ = 7 , b₂ = 4 , then

A = $\frac{1}{2}$ × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²

You might be interested in

Write the equation in standard form. Identify the important features of the graph:

Lerok [7]

Answer:

Standard form: $\left(x-\dfrac{9}{2}\right)^2+(y+5)^2=\dfrac{121}{4}.$

This equation represents the circle with the center at the point $\left(\dfrac{9}{2},-5\right)$ and the radius $r=\dfrac{11}{2}.$

Step-by-step explanation:

Consider expression $x^2+y^2-9x+10y+15=0.$

First, form perfect squares:

$(x^2-9x)+(y^2+10y)+15=0,\\ \\\left(x^2-9x+\dfrac{81}{4}\right)-\dfrac{81}{4}+(y^2+10y+25)-25+15=0,\\ \\\left(x-\dfrac{9}{2}\right)^2+(y+5)^2=10+\dfrac{81}{4},\\ \\\left(x-\dfrac{9}{2}\right)^2+(y+5)^2=\dfrac{121}{4}.$

This equation represents the circle with the center at the point $\left(\dfrac{9}{2},-5\right)$ and the radius $r=\dfrac{11}{2}.$

6 0

3 years ago

Use the binomial theorem to write the binomial expansion of (x+3)4 but the 4 is Square

Vladimir [108]

(x+3)^4=(x+3)^2)^2=(x^2+6x+9)^2=x^4+36x^2+81+12x^3+108x

6 0

2 years ago

A parallelogram with sides of 6 and 10 has an area of 30. Find the measure of the small angle of the parallelogram.

dmitriy555 [2]

<span>A = 2 * (0.5ab) + b (10 - a) = ab + 10b - ab = 10b

10b = 30√2; b = 3√2

sin α = 3√2 / 6; α = 45 degrees

Small angle: 45°; Large angle: 135°</span><span>
</span>

4 0

3 years ago

How many solutions exist for the given equation?

katrin2010 [14]

$1(x + 12) = 4x - 1\\x+12=4x-1\\13=3x\\x=\frac{13}{3} \\x=4\frac{1}{3}$

This equation has only one solution

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia

7 0

2 years ago

Read 2 more answers

The function C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much doe

Rudiy27

Answer:

8 tickets

Step-by-step explanation:

x = 10 in the given equation.

We have then:

C (x) = 17.5x - 10

C (10) = 17.5 * (10) - 10

C (10) = 165

Answer:

to buy 10 tickets cost:

$ 165

b. How many tickets can you buy with $ 130?

For this case we must make the substitution: C (x) = 130

We have then:

C (x) = 17.5x - 10

130 = 17.5x - 10

Clearing x we have:

17.5x = 130 + 10

17.5x = 140

x = (140) / (17.5)

x = 8

Answer:

You can buy 8 tickets with $ 130

5 0

2 years ago