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3 years ago

Please help me out with this

Mathematics

1 answer:

Genrish500 [490]3 years ago

7 0

Answer:

x = 17

Step-by-step explanation:

For the parallelogram to be a rhombus then then the diagonal must bisect the given angle, thus

3x - 11 = x + 23 ( subtract x from both sides )

2x - 11 = 23 ( add 1 to both sides )

2x = 34 ( divide both sides by 2 )

x = 17

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Answer: x = 37

Explanation:

2x-5 + 3x = 180

5x - 5 = 180

5x = 185

x = 37

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3 years ago

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Masteriza [31]

I think the answer to your question might be 6

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3 years ago

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What is 2/10ths written as a decimal

ehidna [41]

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2/10s= .2

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7 0

3 years ago

The length of a concrete slab is three more than three times the width. It's area is 330 square feet. What is the length of the

marin [14]

Answer:

Width: 10.5 feet

Length: 31.5 feet

Step-by-step explanation:

Let x represent width of the concrete slab.

We have been given that the length of a concrete slab is three more than three times the width. So length of the slab would be $3x$ .

We are also told that the area of slab is 330 square feet. We can represent this information in an equation as:

$x\cdot 3x=330$

$3x^2=330$

$x^2=\frac{330}{3}$

$x^2=110$

Now, we will take square root of both sides.

$\sqrt{x^2}=\sqrt{110}$

$x=10.488\approx 10.5$

Therefore, the width of slab is approximately 10.5 feet.

The length of the slab would be $3x\Rightarrow3(10.5)=31.5$ .

Therefore, the length of slab is approximately 31.5 feet.

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An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The objec

belka [17]

Answer:

$4,080grams$

Step-by-step explanation:

the formula for density is:

$d=\frac{m}{V}$

where d is density, m is mass, and V is volume.

solving for m in the last equation:

$m=d*V$

so if we find the volume and multiply it by the density $d=8.3gr/cm^3$ we will get the mass of the object.

The volume of a rectangular prism is given by:

$V=l*w*h$

where $l$ is length, $w$ is width and $h$ is height:

$l=5in\\w=3in\\h=2in$

we substitute to find the volume:

$V=5in*3in*2in\\V=30in^3$

since the density has units of $cm^3$ we need the volume also in units of $cm^3$ , so we make the conversion using:

$1in^3=16.3871cm^3$

multiplying by 30:

$30in^3=491.612cm^3$

and now we find the mass with the equation:

$m=d*V$

substituting d and V:

$m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr$

the nearest gram is: $4,080grams$

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3 years ago