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3 years ago

find the height and of a parallelogram if its base is 35 centimeters and its area is 700 square centimeters

1 answer:

5 0

Hello!

We know what the base and area of the parallelogram are, but the height is still unknown. We also know that the formula for the area is:

A = bh

Meaning we multiply the base by the height to find the area. The opposite of multiplication is division, so we must divide the area by the base to find the height. (We work in the opposite way).

B = a / h

B = 700 cm² / 35 cm

B = 20

We can double check by multiplying 20 by 35, and the product should result in 700.

20 * 35 = 700

Therefore, the height of the parallelogram is 20 centimetres.

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lyudmila [28]

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2 years ago

( 5x + 685 ) + ( 12x - 106 ) = 2500

uysha [10]

Answer:

x = 113

Step-by-step explanation:

( 5x + 685 ) + ( 12x - 106 ) = 2500 ( 685 - 106 = 579)

17x + 579 = 2500

17x = 2500 - 579

17x = 1921

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3 0

2 years ago

Choose the graph which represents the solution to the inequality:<br> 3x + 8 ≥ 11

Mashutka [201]

The solution of the inequality is x ≥ 1.

Solution:

Given inequality:

$3 x+8 \geq 11$

To find the solution of the inequality:

$3 x+8 \geq 11$

Subtract 8 from both sides.

$3 x+8-8 \geq 11-8$

$3 x \geq 3$

Divide by 3 on both sides.

$$\frac{3 x}{3} \geq \frac{3}{3}$

On simplifying this, we get

$x \geq 1$

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The graph of the solution is attached below.

8 0

2 years ago

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots StartRoo

anastassius [24]

Answer:

$a) f(x)=3x^{3}-6x^{2}-15x+30$

Step-by-step explanation:

1) In this question we've been given "a", the leading coefficient. and two roots:

$x_{1}=\sqrt{5}\:x_{2}=2$

2) There's a theorem, called the Irrational Theorem Root that states:

If one root is in this form $x'=\sqrt{a}+b$ then its conjugate $x''=\sqrt{a}-b$ . is also a root of this polynomial.

Therefore

$x_3=-\sqrt{5}$

3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:

$f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30$

4 0

2 years ago

Read 2 more answers

Elena has $0.90. Kia has 10 times as much money

Vlada [557]

Answer:

Kia has ten times more money than Elena. Kia has more money that Elena.

Troy has one-tenth of the money Elena has. Troy has less money than Elena.

Step-by-step explanation:

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2 years ago