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ss7ja [257]
4 years ago
13

In rectangle ABCD, AB=8 units and BC=15 units. Find BD

Mathematics
2 answers:
Semmy [17]4 years ago
6 0

Answer:

BD = 17 units

Step-by-step explanation:

BD is the hypotenuse of right triangle BCD, so can be found using the Pythagorean theorem. The opposite sides of a rectangle are the same length, so DC = 8. The theorem tells us

... BD² = DC² +BC² = 8² +15² = 289

... BD = √289 = 17 . . . units

BabaBlast [244]4 years ago
5 0

Answer:


Step-by-step explanation:


You might be interested in
3a
Jet001 [13]

Answer:

Option D is correct.

VS = 20 units.

Step-by-step explanation:

The complete question is contained in the attached image to this answer.

From the image attached and the additional information about the triangles, it is evident that that triangle VSW is similar to triangle QSR.

Hence, we can write the ratio as

(VS/QS) = (VW/QR)

VS = 2a

QS = 2 × VS = 2 × 2a = 4a

VW = 2a - 2

QR = 3a + 6

(2a)/(4a) = (2a - 2)/(3a + 6)

Cross multiplying,

2a (3a + 6) = 4a (2a - 2)

3a + 6 = 2 (2a - 2)

3a + 6 = 4a - 4

4a - 3a = 6 + 4

a = 10

VS = 2a = 20 units.

Hope this Helps!!!

4 0
4 years ago
Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3) explain and show all steps
spayn [35]

Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3

<em><u>Solution:</u></em>

Given that,

Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)

Here "times" represent multiplication

<em><u>The above sentence can be written mathematically as:</u></em>

\frac{-2}{5} \div \frac{8}{9} \times \frac{2}{9} \div \frac{-1}{3}

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

\rightarrow \frac{-2}{5} \times \frac{9}{8} \times \frac{2}{9} \times \frac{3}{-1}

Cancelling the common terms in numerator and denominator,

\rightarrow \frac{-2}{5} \times \frac{1}{8} \times \frac{2}{1} \times \frac{3}{-1}

Multiplying terms in numerator and denominator,

\rightarrow \frac{-12}{-40}

Negative sign in numerator and denominator cancels each other

\rightarrow \frac{-12}{-40} = \frac{12}{40}

Reducing to lowest terms we get,

\rightarrow \frac{12}{40} = \frac{3}{10}

In decimal form we get,

\rightarrow \frac{3}{10} = 0.3

Thus solution to given expression is 0.3

8 0
3 years ago
A pot is being used to boil off 1 kg of water. The specific energy required to cause the phase change is 2297 kJ/kg. Assuming th
lana66690 [7]

Answer:

It will take 58 seconds

Step-by-step explanation:

If you have 1 kg of water in the jar, half of it will be 0.5 kg.

To vaporize half of the water (0.500 kg) the energy supply needed is

2297 kJ/kg*0.5kg=1148.5 kJ

If the stove is supplying 20 kJ/s, the time its needed is

\frac{1148.5 kJ}{20\frac{KJ}{s} }=57.425 s

It will last at least 58 seconds to vaporize half of the water.

6 0
3 years ago
What is the equation of the line that is parallel to the given line and has an X intercept of -3
icang [17]

Answer:

X=-3

X+3=0

Step-by-step explanation:

Yhat is the equation

3 0
3 years ago
3(x+7)-12=4(2x-7) <br><br>How do you do this?!?!
marta [7]
3x+21-12=8x-28
collect the like terms
3x-8x=-28(21-12=9)
-5x=-28-9
-5x=-37
x=7.4
4 0
3 years ago
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