What is the area of a triangle that has a height of 10 feet and a base length of 8 feet?

Answer: 3

Step-by-step explanation:

From the question, we are informed that Tanisha plans to invite 24 people to a snack and that each package contains 8 invitations.

The number of invitation packages that should be bought will be the number of people to be invited divided by the invitations in each package. This will be:

= 24/8

= 3 invitation packages

Step-by-step explanation:

We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.

a² + b² = c²

4² + b² = 10²

16 + b² = 100

100 - 16 = 84

b² = 84

b = √84

b ≈ 9.165

Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.

9.165 * 4

36 + 0.4 + 0.24 + 0.020

36.4 + 0.24 + 0.02

36.64 + 0.02

36.66 u²

The area of rectangle RSTU is about 36.66 units squared.

Given:

The function are

[tex]f(x)=x^2-1[/tex]

[tex]g(x)=\sqrt{x}[/tex]

To find:

The value of [tex](f\circ g)(1)[/tex].

Solution:

We have,

[tex]f(x)=x^2-1[/tex]

[tex]g(x)=\sqrt{x}[/tex]

We need to find the value of [tex](f\circ g)(1)[/tex].

[tex](f\circ g)(1)=f(g(1))[/tex]            [tex][\because (f\circ g)(x)=f(g(x))][/tex]

[tex](f\circ g)(1)=f(\sqrt{1})[/tex]            [tex][\because g(x)=\sqrt{x}][/tex]

[tex](f\circ g)(1)=f(1)[/tex]      

[tex](f\circ g)(1)=(1)^2-1[/tex]                  [tex][\because f(x)=x^2-1][/tex]

[tex](f\circ g)(1)=1-1[/tex]      

[tex](f\circ g)(1)=0[/tex]      

The value of [tex](f\circ g)(1)[/tex] is 0.

Therefore, the correct option is A.

Answer:

None

Step-by-step explanation:

A square root has to be two of the same number

answer x = 225 and y = -135

Step-by-step explanation:

x+y = 90 and x= 90-y and x -y = 360 so 90-y -y = 360

Answer:

B:   n - 5

Step-by-step explanation:

It said a number n, which is a variable.

Decreased means subtracting by 5.

So the answer would be:  n - 5

Answer:

1487.88

Step-by-step explanation:

Because you have to line the decimals up to make sure you have the correct answer

Answer:

20 X 6

Step-by-step explanation:

20 X 6 = 120 I'm not smart but this is pretty easy

Answer:

y = 4x -3

Step-by-step explanation:

Here, we want to get the equation of the blue line

As we can see, the y-intercept is -3

So we have the equation as;

y = mx -3

To get the value of m which is the slope , we check for any point on the line

That would be;

(1,1)

Let us have this substituted;

1 = m(1) - 3

1 = m -3

m = 1 + 3

m = 4

so the equation of the straight line is;

y = 4x -3

Answer:

Option 2 is correct .

Step-by-step explanation:

A inequality is given to us , and we need to find the solution set for it. The given inequality is :-

⇒ 3(8 - 4x) < 6(x - 5)

⇒ 24 - 12x < 6x - 30

⇒ 24 +30 < 6x + 12x

⇒ 54 < 18x

⇒ x > 54/18

⇒ x > 3

This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 . Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .

I have also attached the graph . The red area shows the possible values of x.

The solution is : Option 2 is correct .

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

A inequality is given to us , and we need to find the solution set for it. The given inequality is :-

⇒ 3(8 - 4x) < 6(x - 5)

⇒ 24 - 12x < 6x - 30

⇒ 24 +30 < 6x + 12x

⇒ 54 < 18x

⇒ x > 54/18

⇒ x > 3

This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 .

Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .

The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.

Here, attached the graph . The red area shows the possible values of x.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ7

Answer: y=2/5x

Step-by-step explanation:

Y times x 2/5 which would be the answer

The equation that describes Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that is  {x + (2/5)x} kilograms.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that.

∴ The equation that describes this scenario is,

= {x + (2/5)x}.

= (5x + 2)/5 kilograms.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ5

Answer: 2520

Step-by-step explanation:

Given: Number of people supported the visiting team = 882

Let x = Total number of people at the game.

As per given,

35% of x = 882    [35% were supporting the visiting team]

[tex]\Rightarrow\ 0.35x=882\\\\\Rightarrow\ x=\dfrac{882}{0.35}\\\\\Rightarrow\ x= 2520[/tex]

Hence, the total number of people at the game = 2520 .

Answer:

a

Step-by-step explanation:

3x4=12

12/2=6

3,4,6

Answer:

Hichman will walk faster.

Step-by-step explanation:

Hichman walks 84 feet in 7 seconds and Brittany walks 110 feet in 20 Second.

We need to say who walks faster.

For Hichman,

Distance, d = 84 feet and time, t = 7 s

Speed,

[tex]v_H=\dfrac{d}{t}\\\\v_H=\dfrac{84}{7}\\\\=12\ ft/s[/tex]

For Brittany,

Distance, d = 110 feet and time, t = 20 s

Speed,

[tex]v_B=\dfrac{d}{t}\\\\v_B=\dfrac{110}{20}\\\\=5.5\ ft/s[/tex]

It can be seen that speed of Hichman is 12 ft/s and the speed of Brittany is 5.5 ft/s. It is clear that the speed of Hichman is more than that of Brittany. Hence, Hichman will walk faster.

Answer: Slope-Intercept

Answer:

no solution

Step-by-step explanation:

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

6x + 6 - 3x = 6 + 3x

6x - 3x = 3x

3x + 6 = 6 + 3x

the answer would be

no solution

Answer:

The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]

Step-by-step explanation:

Intercepts of a Function

Given a function y=f(x), the intercepts with the x-axis, if any, can be found by solving the equation:

y = f(x) = 0

The intercepts with the y-axis can be found by calculating

f(0)

We are given the function

y - 4x = 1

To find the x-intercepts, set y=0:

0 - 4x = 1

Solving:

[tex]x = -\frac{1}{4}[/tex]

For x=0:

y - 4*0 = 1

y = 1

The coordinates of the intercepts are (0,1) and [tex]\left(-\frac{1}{4},0\right)[/tex]

Answer:

$4,363.03

i hope i actually get this right because im doing a test right now in math class

Using the interest formulas, it is found that George will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.

Simple Interest:

[tex]E = Pit[/tex]

In which:

For American Bank, we have that [tex]P = 3250, r = 0.04, t = 8[/tex], hence:

[tex]E = Pit = 3250(0.04)(8) = 1040[/tex]

Compound interest:

[tex]E = P[(1 + r)^t - 1][/tex]

For Liberty Savings, we have that [tex]r = 0.0375[/tex], hence:

[tex]E = P[(1 + r)^t - 1] = 3250[(1.04)^8 - 1] = 1198[/tex]

1198 - 1040 = 158.

He will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.

For more on interest formulas, you can check https://brainly.com/question/25781328

Answer:

1/3 + 1/4 = ?

(1/3 x 4/4) + (1/4 x 3/3)=?

I multiplied like so in order to get equal denominators

4/12+3/12=7/12

Step-by-step explanation:

Answer:

The correct option is;

B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)

Step-by-step explanation:

The given data can be presented as follows;

Cell Phone Towers

Customer (thousands)    [tex]{}[/tex]   Towers

1) 5.25            [tex]{}[/tex]                          273

2) 6.25            [tex]{}[/tex]                         325

3) 7.25            [tex]{}[/tex]                         377

4) 9.25            [tex]{}[/tex]                         481

From the given data, we have the ratio Towers/Customer (thousands) given as follows;

For 1), we have;

273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)

For 2), we have;

325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)

For 3), we have;

377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)

For 4), we have;

481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)

Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).

Answer:

first three terms are 3, 6, 9 and the 10th one is 30

Step-by-step explanation:

Answer:

3, 12, 27 and 300

Step-by-step explanation:

To find the first 3 terms, substitute n = 1, 2, 3 into the n th term formula

3(1)² = 3 × 1 = 3

3(2)² = 3 × 4 = 12

3(3)² = 3 × 9 = 27

The first 3 terms are 3, 12, 27

Substitute n = 10 into formula for 10 th term

3(10)² = 3 × 100 = 300

Answer:

-2/3

Step-by-step explanation:

Visibly we can see the line passes through (0,3) and (3,1)

The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]

I hope this helps! :)

Answer:

Slope = -2/3

Step-by-step explanation:

Rise over run, pick one point of intersection

Go up 2, go to the left until you reach another point of intersection, which is 3 units.

Answer:

hi

Step-by-step explanation:

hi

Answer:

your answer should be a

Step-by-step explanation:

Answer:

the answer is 49.41463415

Step-by-step explanation: Brainliest please

Answer:

-5 sorry if it's wrong. I tried.

Answer:

-5

Step-by-step explanation:

Answer:

The time required to get  a total amount of $ 12,600.00  from compound interest on a principal of $9000  at an interest rate of 4.75% per year  and compounded 4 times per year  is 7.1 years.

Step-by-step explanation:

Given

Principle P = 9000 dollars

Rate r = 4.75% = 0.0475

Total Amount A = 12600 dollars

compounded quarterly n = 4

To determine:

Time t = ?

Using the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

solving the equation for 't'

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(12,600.00/9,000.00) / ( 4 × [ln(1 + 0.011875/4)] )

t = 7.1 years

Therefore, the time required to get  a total amount of $ 12,600.00  from compound interest on a principal of $9000  at an interest rate of 4.75% per year  and compounded 4 times per year  is 7.1 years.