All categories

3 years ago

What is the value of x?

Mathematics

1 answer:

timama [110]3 years ago

6 0

Answer:

x = +5

Step-by-step explanation:

The triangles ADB and BDC are similar. Thus it is possible to write an equation of ratios and solve it for x:

x 10

----- = -------

10 4x

Cross-multipying, we get:

4x^2 = 100, which yields x = +5

You might be interested in

Part A

ira [324]

Answer:

Part A)

scientific notation ------> $2.56*10^{11}\ bits$

standard notation -----> $256,000,000,000\ bits$

Part B)

scientific notation ------> $5.12*10^{11}\ bits$

standard notation -----> $512,000,000,000\ bits$

Part C)

scientific notation ------> $1.28*10^{11}\ bits$

standard notation -----> $128,000,000,000\ bits$

Part D)

scientific notation ------> $6.4*10^{10}\ bits$

standard notation -----> $64,000,000,000\ bits$

Part E)

scientific notation ------> $3.2*10^{11}\ bits$

standard notation -----> $320,000,000,000\ bits$

Step-by-step explanation:

we know that

$1\ Gigabyte=1*10^{9}\ bytes$

$1\ byte=8\ bits$

therefore

$1\ Gigabyte=8*10^{9}\ bits$

Part A

Theresa and her brother, Ruben, are getting phones that each have 32 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation

we know that

Each phone have 32 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{32}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=32*8*10^{9}\\ \\x=256*10^{9}\ bits\\ \\x=2.56*10^{11}\ bits$

scientific notation ------> $2.56*10^{11}\ bits$

standard notation -----> $256,000,000,000\ bits$

Part B

Theresa’s parents, Cal and Julia, are getting phones that each have 64 gigabytes of storage. How many bits of storage come with each phone? Type your answer in both scientific and standard notation.

we know that

Each phone have 64 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{64}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=64*8*10^{9}\\ \\x=512*10^{9}\ bits\\ \\x=5.12*10^{11}\ bits$

scientific notation ------> $5.12*10^{11}\ bits$

standard notation -----> $512,000,000,000\ bits$

Part C

Because they are getting four new phones, the family also gets two free tablets. Each tablet has 16 gigabytes of storage. How many bits of storage come with each tablet?

we know that

Each tablet have 16 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{16}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=16*8*10^{9}\\ \\x=128*10^{9}\ bits\\ \\x=1.28*10^{11}\ bits$

scientific notation ------> $1.28*10^{11}\ bits$

standard notation -----> $128,000,000,000\ bits$

Part D

Theresa talked her parents into getting SD cards for her phone and her brother’s phone. Inserting an SD card into a phone gives it more storage. They both get 8-gigabyte SD cards. How many bits of storage come with each SD card? Type your answer in both scientific and standard notation

we know that

Each SD card have 8 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{8}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=8*8*10^{9}\\ \\x=64*10^{9}\ bits\\ \\x=6.4*10^{10}\ bits$

scientific notation ------> $6.4*10^{10}\ bits$

standard notation -----> $64,000,000,000\ bits$

Part E

With their plan, the family also gets access to storage on the cloud. They can store a total of 40 gigabytes on the cloud. How many bits of storage do they get on the cloud? Type your answer in both scientific and standard notation

we know that

The cloud have 40 gigabytes of storage

using proportion

$\frac{1}{8*10^{9}}\frac{\ Gigabytes}{\ bits} =\frac{40}{x}\frac{\ Gigabytes}{\ bits}\\ \\x=40*8*10^{9}\\ \\x=320*10^{9}\ bits\\ \\x=3.2*10^{11}\ bits$

scientific notation ------> $3.2*10^{11}\ bits$

standard notation -----> $320,000,000,000\ bits$

3 0

4 years ago

A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\dia

Gnoma [55]

Answer:

The number of ways to select 2 cards from 52 cards without replacement is 1326.

The number of ways to select 2 cards from 52 cards in case the order is important is 2652.

Step-by-step explanation:

Combinations is a mathematical procedure to compute the number of ways in which k items can be selected from n different items without replacement and irrespective of the order.

${n\choose k}=\frac{n!}{k!(n-k)!}$

Permutation is a mathematical procedure to determine the number of arrangements of k items from n different items respective of the order of arrangement.

$^{n}P_{k}=\frac{n!}{(n-k)!}$

In this case we need to select two different cards from a pack of 52 cards.

Two cards are selected without replacement:

Compute the number of ways to select 2 cards from 52 cards without replacement as follows:

${n\choose k}=\frac{n!}{k!(n-k)!}$

${52\choose 2}=\frac{52!}{2!(52-2)!}$

$=\frac{52\times 51\times 50!}{2!\times50!}\\=1326$

Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.

Two cards are selected and the order matters.

Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:

$^{n}P_{k}=\frac{n!}{(n-k)!}$

$^{52}P_{2}=\frac{52!}{(52-2)!}$

$=\frac{52\times 51\times 52!}{50!}$

$=52\times 51\\=2652$

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

6 0

3 years ago

How many types of congruence criterion are in total.Name them

Makovka662 [10]

Answer:

Various types of Congruency are:

1. ASA (Angle Side Angle)

2. SSS (Side Side Side)

3. SAS (Side-Angle-Side)

4. AAS (Angle-Angle-Side)

5. RHS (Right angle-Hypotenuse-Side)

As of what I had learned (class 9) this is all but I am not sure if there are more

7 0

3 years ago

Read 2 more answers

For one month Siera calculated her home town’s average high temperature in degrees Fahrenheit. She wants to convert that tempera

SVETLANKA909090 [29]

We have to find how can someone convert the temperature from degrees Farhenheit to degrees Celsius using the function. The temperature in degrees Celsius is equal to the temperature in degrees Farhenheit minus 32 times 5/9. Or C ( F ) = ( F - 32 ) * 5/9. For example: the temperature is F = 50°; C ( 50 ) = ( 50 - 32 ) * 5/9 = 18 * 5/ 9 = 10 °C. Answer: The function is: C ( F ) = ( F - 32 ) * 5/9.

4 0

3 years ago

Help please. Algebra.

Yanka [14]

Answer:

I'm pretty sure Its D i think-

7 0

3 years ago