Can the sides of a triangle have lengths 16, 9, and 7?

Answer: 96 inches

Step-by-step explanation:

There are 12 inches in 1 foot.

Therefore there are 8*12 inches in 8ft

= 96 inches

Answer: 96 inches

Step-by-step explanation: 1 foot=12 inches, meaning that 8 ft would be 12 times 8, which you give you 96 inches.

1a) Firstly, lets start by expanding the brackets. x × x is x². So x(x+1) = x² + x. Then we do the second part. 2 × x = 2x and 2 × 1 = 2. Now we have

x² + 3x + 2.

Now what we do is simplify through quadratic formula. We look at the last digit which is 2. What two numbers multiplies to give you 2? 2 and 1. 2 x 1 = 2 and 2 + 1 = 3. Our second number is 3 so this is the right amount. so now we just put the two factors together. (x + 1)(x+2). This is the answer.

b) I have explained above and so am just gonna write the answers. After expanding we get x² + 2x + 1. We get simplify to

= (x + 1)(x+1)

c) y² + 3y + 4. This cannot be simplified into the format so we leave it like this.

d) = 0.

Have a go at the last ones by yourself, if you still need help, I am available!

Answer:

10 days

Step-by-step explanation:

if hes started off with 10 minutes and wants to get to 30 by adding 2 minutes each day itll take him 10 days

Answer:

12)5^x=125

13)5

Step-by-step explanation:

The base on the logarithm is also the base of the exponent so 5^something=something else and 125 is the number in the logarithm it is put on the other side so 5^something=125 and as the something is x the answer is 5^x=125

The second question uses the same logic 2^y=32 so y must be 5

Hope I helped :)

Answer:

(0,-4)

Step-by-step explanation:

yup

Answer:

Undefined

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

in decimal form it is 0.1

Answer: x=6, y=2, z=0

Step-by-step explanation:

We know from the third equation that z=8-4y

and from the first that x=y+4

Substitute into the 2nd equation,

4(y+4)-7(8-4y)=24

4y+16-56+28y=24

32y-40=24

32y=64

y=2

Meaning x=6 and z=0.

Answer: The ans is 1.6

Step-by-step explanation:

from 1.2, it starts with 1.4, 1.6, 1.8, 2.0 ( 2 ), 2.2

Answer:

f-1(x)=x-1/2

Step-by-step explanation:

Switch x and y and solve for y

x=y+1/2

y=x-1/2

[tex]\\ \rm\hookrightarrow Mass=Density\times Volume [/tex]

[tex]\\ \rm\hookrightarrow Mass=250(1)[/tex]

[tex]\\ \rm\hookrightarrow Mass=250g[/tex]

Answer:

mass = 250 g

Explanation:

mass = density * volume

given:

using the formula:

mass = 250 * 1

mass = 250 g

The units will be in gram as in density unit's mentioned is grams per cm³

The volume of the scoop of ice cream is 14.14 cm³.

The height of the cone that would fit all the ice cream is  6 cm.

In order to determine the  volume of the scoop of ice cream, the formula for the volume of a sphere would be used.

Volume of a sphere = 4/3 x pi x r^3

= 4/3 x 22/7 x 1.5^3 = 14.14 cm³

The formula that can be used to determine the height of the cone is:

Volume of the scoop / (1/3 x π x r²)

14.14 / (1/3 x 1.5² x 22/7) = 6 cm

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

∵ 372 miles ≠ 300 miles

∴ Not correct.

Notice that the plane figures above are congruent with each other, so that

x/8 = 4/16

16x = 8 × 4

16x = 32

x = 2

x/5 = 48/6

6x = 5 × 48

6x = 240

x = 40

x/7 = 90/10

10x = 7 × 90

10x = 630

x = 63

3/x = 10/40

10x = 3 × 40

10x = 120

x = 12

Using the information of each pair and thus calculate the value of X, then:

6)x= 2

7)x=40

8)x=63

9)x=12

So calculating the value of X, we have:

6) x/8 = 4/16

16x = 8 × 4

16x = 32

x = 2

7) x/5 = 48/6

6x = 5 × 48

6x = 240

x = 40

8) x/7 = 90/10

10x = 7 × 90

10x = 630

x = 63

9)3/x = 10/40

10x = 3 × 40

10x = 120

x = 12

See more about similiar pair at brainly.com/question/9752806

Answer:

7.32 in (nearest hundredth)

or 7.324 in (nearest thousandth)

Step-by-step explanation:

inches : miles

A : B = C : D

6.875 : 4469 = y : 4761

6.875 / 4469 = y / 4761

y = (6.875 / 4469) x 4761

y = 7.32 in (nearest hundredth)

y = 7.324 in (nearest thousandth)

Answer:

the distance between cities C and D is 7.3242 inches.

given:

solve similarities:

[tex]\hookrightarrow \sf \dfrac{6.875}{x} = \dfrac{4469}{4761}[/tex]

[tex]\hookrightarrow \sf 4469(x) = 6.875*4761[/tex]

[tex]\sf 4469x = 32731.875[/tex]

[tex]\hookrightarrow \sf x = \dfrac{32731.875}{4469}[/tex]

[tex]\hookrightarrow \sf x = 7.3242[/tex]

Answer:

i am sory i dont know

Step-by-step explanation:

i am blank

The equivalent fraction to 3 is only 3/1

10.......................

Answer:

( [tex]\frac{20}{7}[/tex], - [tex]\frac{12}{7}[/tex] )

Step-by-step explanation:

4x - 5y = 20 → (1)

2x + y = 4 → (2)

subtract 2x fro both sides in (2)

y = 4 - 2x → (3)

substitute y = 4 - 2x into (1)

4x - 5(4 - 2x) = 20 ( distribute parenthesis and simplify left side )

4x - 20 + 10x = 20

14x - 20 = 20 ( add 20 to both sides )

14x = 40 ( divide both sides by 14 )

x = [tex]\frac{40}{14}[/tex] = [tex]\frac{20}{7}[/tex]

substitute this value into (3)

y = 4 - 2([tex]\frac{20}{7}[/tex] ) = [tex]\frac{28}{7}[/tex] - [tex]\frac{40}{7}[/tex] = - [tex]\frac{12}{7}[/tex]

solution is ( [tex]\frac{20}{7}[/tex] , - [tex]\frac{12}{7}[/tex] )

The speed of the boat in still water is 14 mph.

»g(n) = 10n - 10

»g(x) = 90

»g(x) = 10x - 10

»90 = 10x - 10

»90 + 10 = 10x

»10x = 100

»x = 100/10

»x = 10✅

Answer:

[tex]\huge\boxed{\bf{x = 10}}[/tex]

Step-by-step explanation:

[tex] \sf g(n) = 10n - 10 \Rightarrow g(x) = 90[/tex]

Let's find x

[tex]\sf \to g(x) = 90[/tex]

$\sf \to 10x - 10 = 90$

$\sf \to 10x - 10 + 10 = 90 + 10$

$\sf \to 10x + 0 = 100$

$\sf \to 10x = 100$

$\sf \to x = \frac{100}{10}$

$\sf \to x = 10$

[tex]\:[/tex]

[tex]\huge\sf\colorbox{blue}{BlackPain}[/tex]

Answer:

4 bags

Step-by-step explanation:

   First, 5 pounds is equal to 80 ounces.

   Then, when looking at the number line, we see that 80 ounces is right before "96" to represent 4 of the 24 oz bags. This means that he will need to buy 4 bags, according to the number line.

   We can also do it the mathematical way.

-> 80 ounces / 24 ounce bags = 3 [tex]\frac{1}{3}[/tex].

   We cannot buy [tex]\frac{1}{3}[/tex] of a bag, so we round up to 4 bags.

Answer:

Step-by-step explanation:

The orange divisor(s) above are the prime factors of the number 1,620. If we put all of it together we have the factors 2 x 2 x 3 x 3 x 3 x 3 x 5 = 1,620. It can also be written in exponential form as 22 x 34 x 51.

Answer:

2x2x2x3x3x3x3x5

Replace x and solve:

4^2 = 16

4^3 = 64

Now divide the solutions

64/16 = 4

This is an increase of a factor of 4.

ANSWER:

H(x) increases by a factor of 4

Check the picture below.

Answer:

A = 6.2831853071796 in[tex] ^{2} [/tex]

Step-by-step explanation:

Surface area of a capsule:A = 4πr2 + 2πrh.

[tex]A = 4πr2 + 2πrh. \\ a = 4\pi(0.5)2 + 2\pi(0.5)(1) \\ A= 6.2831853071796 \: in {}^{2} [/tex]

Equations are statements that have equal values, when compared

The true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11

The equation is given as:

[tex]x^2 + 10x = 11[/tex]

Rewrite as:

[tex]x^2 + 10x - 11 = 0[/tex]

Expand

[tex]x^2 + 11x - x - 11 = 0[/tex]

Factorize

[tex]x(x + 11) -1( x + 11) = 0[/tex]

Factor out x + 11

[tex](x -1)(x + 11) = 0[/tex]

Solve for x

x = 1 or x = -11

Hence, the true statement about [tex]x^2 + 10x = 11[/tex] are x = 1 and x = -11

Read more about equations at:

https://brainly.com/question/1214333

Answer:

6

Step-by-step explanation:

8171.28

Sig Figs

6

8171.28

Decimals

2

8171.28

Scientific Notation

8.17128 × 103

E-Notation

8.17128e+3

Words

eight thousand one hundred seventy-one point two eight