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seraphim [82]
3 years ago
5

What is the length of DE ?

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

A. 6

Step-by-step explanation:

On triangle ZYX divide each side by 3 to get 4-4-3. Then multiple each side by 2, to get 8-8-6. That would mean DE is 6.

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The volume of a triangular prism is 84 cubic inches. What is the volume of a similar prism that is smaller by a scale 1/2
wariber [46]
I'm not entirely sure but since the proportions are halved, the volume may be (84/2) = 42
3 0
4 years ago
What is 2/28=7/8 cross multiplied
siniylev [52]

Answer:

see the explanation

Step-by-step explanation:

we have

\frac{2}{28}=\frac{7}{8}

we know that

To cross multiply, start by multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction.

2(8)

Then, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.

7(28)

Next, set the 2 products equal to each other.

2(8)=7(28)

5 0
4 years ago
How to evaluate the integral
Papessa [141]
Remember
for F(x) is the antiderivitive of f(x)
\int\limits^a_b {f(x)} \, dx =F(a)-F(b)
so find the antiderivitive of ((x+1)^2)/x

if we expand we get (x^2+2x+1)/x which simplifies to x+2+(1/x)
the anti-deritivive of  x is (1/2)x^2
the antideritiveve of 2 is 2x
the antideritivieve of 1/x is ln|x|

F(x)=(1/2)x^2+2x+ln|x|+C

\int\limits^2_1 { \frac{(x+1)^2}{x} } \, dx =F(2)-F(1)

F(1)=(5/2)+ln1+C
F(2)=6+ln2+C

F(2)-F(1)=6+ln2+C-(5/2+ln1+C)
F(2)-F(1)=(7/2)+ln2
that is the answer
if you want is simplified or expanded it is about 4.1915
8 0
3 years ago
The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of
Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of a^{2} :b^{2}

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50(13689 -234x+x^{2} )=32x^{2}

Distribute the left side

684450-11700x+50x^{2}=32x^{2}

Subtract both sides 32x^{2} and rewrite it 18x^{2} -11700x+684450=0

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

x^{2}-650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0
3 years ago
Add 7 and 3, then triple the result
Dovator [93]

Step-by-step explanation:

7 + 3

the Answer is 10

Then if we triple the result, we'll get 30

<em>1</em><em>0</em><em>*</em><em>3</em>

<em>3</em><em>0</em>

4 0
3 years ago
Read 2 more answers
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