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4 years ago

Find the value of X.

Mathematics

1 answer:

olganol [36]4 years ago

4 0

Because the ratio of a 45,45,90 triangle is 1:1: square root 2, x=4.

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A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes. Creat

emmainna [20.7K]

Answer:

$y=-0.10x+60$

Step-by-step explanation:

Let

y -----> gallons of water remaining in the barrel

x-----> number of minutes elapsed

we know that

Water leaks out of the barrel at a rate of 1 gallon every 10 minutes

$1/10=0.10\frac{gal}{min}$

The linear equation that represent this situation is

$y=-0.10x+60$

The graph in the attached figure

7 0

3 years ago

Read 2 more answers

Refer to the figure. Give a reason to justify the statement.

crimeas [40]

Answer: C OR A IS THE ANSWER

Step-by-step explanation:

5 0

3 years ago

Divide the following complex numbers:<br><img src="https://tex.z-dn.net/?f=%282%20%2B%20i%29%20%5Cdiv%20%281%20-%204i%29" id="Te

Dmitrij [34]

Answer:

$-\dfrac{2}{17} + \dfrac{9}{17}i$

Step-by-step explanation:

$(2 + i) \div (1 - 4i) =$

$= \dfrac{2 + i}{1 - 4i}$

$= \dfrac{2 + i}{1 - 4i} \times \dfrac{1 + 4i}{1 + 4i}$

$= \dfrac{(2 + i)(1 + 4i)}{(1 - 4i)(1 + 4i)}$

$= \dfrac{2 + 8i + i + 4i^2}{1 + 16}$

$= \dfrac{2 + 9i - 4}{17}$

$= \dfrac{-2 + 9i}{17}$

$= -\dfrac{2}{17} + \dfrac{9}{17}i$

8 0

3 years ago

Can I get help on this bc if I don’t do it now my math teacher will call my parents

kherson [118]

Answer:

<u>39.28cm^2 </u>

Step-by-step explanation:

Simple work out the area of a circle and halve it.

3.142xr^2

3.142x5^2 = 78.55 cm^2 (Full circle area)

Now we must halve that answer to get the semicircle.

78.55/2 = 39.275 cm^2

However, we need it to 2dp. Therefore the answer is 39.28cm^2

7 0

3 years ago

Geometry: write formal proofs, ASAP!!!!

liq [111]

Answer:

By the definition of midpoints, AX and CX are congruent. By the definition of segment bisectors, X is the midpoint of BD, and therefore BX and DX are congruent. Since angle AXD and CXB are vertical angles, they are congruent by the vertical angles theorem. By SAS, triangles AXD and CXB are congruent. By CPCTC, angles A and C are congruent. By converse of alternate interior angles theorem, AD is parallel to CB.

3 0

2 years ago