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4 years ago

The questions are below:

Mathematics

1 answer:

forsale [732]4 years ago

8 0

Answer:

See below in BOLD.

Step-by-step explanation:

<u>The first part:</u>

Applying the Pythagoras theorem to both triangles.

The one on the left:

13^2 = 12^2 + x^2

x^2 = 169 - 144 = 25

x = 5 units.

The one on the right:

x^2 = 5^2 + 12^2 = 169

x = 13 units.

(a) So the 2 shorter sides in the triangles have the same length.

(b) The 3 sides of each triangle have the same length so they are congruent by SSS.

<u>The Second Part.</u>

(a) F. They<u> could be congruent</u> because the angles are all equal but we don't know anything about the lengths of the sides.

(b). C. Congruent. by ASA. The angles at each side of the line of length 9.2 are equal in measure.

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How do the y-values in the table grow? The y-values increase by a factor of 49 for each x increase of 1. The y-values increase b

Bond [772]

From the table, we can deduce that The y-values increase by a factor of 7 for each x increase of 1 and is denoted as option C.

<h3>What is a Factor?</h3>

This is defined as a number which divides another without leaving a remainder afterwards.

From the table, we can deduce that the y-values are divisible by 7 thereby making it a factor of it and confirming that it increase by a factor of 7 for each x increase of 1.

Read more about Factor here brainly.com/question/219464

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2 years ago

Solve the equation sin38=x/10

sashaice [31]

Answer:

6.1566

Step-by-step explanation

Easy:

Sin 38 = x/10

Multiply 10 on both sides to cancel out the 10 under the x

This will equal to:

10(sin 38) = x

Simply enter 10(sin 38) in the calculator like desmos scientific.

Your answer is about 6.1566

5 0

3 years ago

Read 2 more answers

A newborn baby has about 26,000,000,000 cells. An adult has about 4.94 x 13 cells. How many times as many cells does an adult ha

gayaneshka [121]

Use some propoerties of exponnets
(x^m)/(x^n)=x^(m-n)

so
convert every body to scientific notation
(number less than 10 but equal to or greater than 1) times (10^x)

baby=26,000,000,000
how many decila places to move to left to make less than 10 but equal to or great than 1
10
there for it can be writtten as
2.6*10^10

how many times bigger is adult than baby
baby times x=adult
divide adult by baby with the numbers
x= $\frac{4.94*10^{13}}{2.6*10^{10}}$ =
$\frac{4.94}{2.6}$ times $\frac{10^{13}}{10^{10}}$ =
1.9 times 10^3

answer is 1.9*10^3

7 0

3 years ago

Read 2 more answers

Problem

Stels [109]

Answer:

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

Step-by-step explanation:

Remember that the velocity v equals the distance d between time t.

$v=\frac{d}{t}$ and $t*v=d$

The distance that Hal travels when traveling with the wind is:

$(2\ hours)(v + c) = 600$ miles

Where v is the speed of Hal and c is the wind speed.

The distance when traveling against the wind is:

$(3\ hours)(v-c) = 600$ miles

Now we solve the first equation for v

$(2)(v + c) = 600$

$2v + 2c = 600$

$2v= 600-2c$

$v= 300-c$

Now we substitute the value of v in the second equation and solve for c

$3((300-c)-c) = 600$

$3(300-2c) = 600$

$900-6c = 600$

$-6c = 600-900$

$-6c = -300$

$6c = 300$

$c = 50\ miles/h$

Then:

$v= 300-(50)$

$v= 250\ miles/h$

The maximum speed of Hal's airplane in still air is:

$v= 250\ miles/h$

The speed of the wind

$c = 50\ miles/h$

7 0

3 years ago

A sink has two faucets: one for hot water and one for cold water. The sink can be filled by a cold water faucet in 3 minutes. If

iragen [17]

Answer: $6\ minutes$

Step-by-step explanation:

You can use the following formula:

$\frac{T}{A}+\frac{T}{B}=1$

You can say that "T" is the time (in minutes) for both faucets working together, "A" is the time (in minutes) for cold water faucet working alone and "B" is the time (in minutes) for hot water faucet working alone.

Based on the data given in the exercise, you can identify that:

$T=2\\A=3$

Therefore, substituting these values into the formula and solving for "B", you get that this is:

$\frac{2}{3}+\frac{2}{B}=1\\\\\frac{2}{B}=1-\frac{2}{3}\\\\\frac{2}{B}=\frac{1}{3}\\\\2=\frac{1}{3}B\\\\2*3=B\\\\B=6$

3 0

3 years ago