Mathematics College

What is the area of the triangle show above

Answers

Answer 1

Answer:

A = 64 units²

Step-by-step explanation:

A = 1/2bh

Step 1: Define

A = ?

b = 16 units

h = 8 units

Step 2: Substitute and Evaluate

A = 1/2(16 units)(8 units)

A = (8 units)(8 units)

A = 64 units²

Related Questions

A secretary earns $9 per hour and worked a total of 41 hours last week. She earns double time for work beyond 40 hours. Calculate her total pay.

Answers

Answer:

378$

Step-by-step explanation:

40 × 9 = 360 so her hours are multiplied by her money she gets by the hour

9 × 2 = 18 Because she worked 1 extra hour she earned double

Finally you do

360+18 = 378$

f(x)=215x is y a function of x?

Answers

Answer:

no i dont think so

Step-by-step explanation:

Jessie is the high scorer on his basketball team. He made 45 free throws out of 60 free throws attempted. What was his percentage of free throw shots made?

Answers

Answer:

Step-by-step explanation:

I think it is 75%

Answer:

The answer is 75%

Step-by-step explanation:

A figure is rotated 180°clockwise, then 90°counterclockwise. Which single rotation is equivalent to this?

Answers

Answer:

Step-by-step explanation:

180-90

clockwise-counterclockwise

A single rotation of 90° in the clockwise direction is equivalent to the rotation given.

For the image of a figure to overlap with itself, the amount by which the figure should be rotated is?

For the image of a figure to overlap with itself, the figure should be rotated by 360°

We have a image that is is rotated 180°clockwise, then 90° counterclockwise.

The rotation of the image which is is rotated 180°clockwise first and then 90° counterclockwise can be replaced by a single rotation of 90° in the clockwise direction. Mathematically -

Ф = + 180° + (-90°) = + 90°

Therefore, a single rotation of 90° in the clockwise direction is equivalent to the rotation given.

To solve more questions on image translations, visit the link below -

brainly.com/question/12802031

#SPJ2

x/6−7=12 what is x
if its a good enough answer I WILL GIVE BRAINLIEST

Answers

Answer:

x/6=12+7

x/6=19

x=19*6

x=114

x=29/2, -15/2, Hope this helps

How do I subtract decimals from whole numbers?

Answers

Answer:

Just use long subtraction by expanding the decimal places of the whole number. This is done by adding a point, and enough zeros to it to match the number of decimal digits in the other number (digits after the decimal point).

12345678

i.e: 5 - 2.48374827, 2.48374827 has 8 decimal digits, so add 8 zeros after the point.

1 1 1 1 1 1 1

5.00000000

2.48374827

_______________

2.51625173

7 + 3 = 10, 7 + 2 + 1 = 10, 8 + 1 + 1= 10, 5 + 4 + 1 = 10, 2 + 7 + 1 = 10, 3 + 6 + 1 = 10, 1 + 8 + 1 = 10, 5 + 4 + 1 = 10, 2 + 2 + 1 = 5 : 5.00000000

This is basically borrowing a group of 10s which are the same as 1s in the next decimal place up.

For each digit except the first to the right, let 10 subtract that number from it and minus 1 since the 1 is carried over.

can someone please help me with this problem

Answers

Answer:

I think that the answer is 83 but im not sure. I tried to solve it and i got 83. I hope its right.

0.34 is 10 times as great as what number?

Answers

Answer:

0.034

Step-by-step explanation:

the opposite of multiplication is division. 0.34 divided by 10 is 0.034. you can also figure this out by moving the decimal to the left once.

0.34 is 10 times greater than 0.034.

What is a decimal ?

A decimal is represented by a dot or a point it separates the whole part and the fractional part of the given number.

According to the given data

0.34 is 10 times as great means we have to divide 0.34 by 10

which is

= (0.34/10)

= 0.034

∴ 0.34 is 10 times greater than 0.034.

We can also do this by simply moving the decimal to one left of the digit.

For example if given a.cb and we have been asked what number is 100 times greater than a.bc we can simply move the decimal to the right by 2 place then it will be abc.

Learn more about Decimals here :

https://brainly.com/question/50455

77 + 36 = 113

113 - 85 = 28

this means that cherry st. is 28 yds faster

using the Pythagorean Theorum

The distance that Layne would have to travel further if he took the given paths is required.

If Layne took Orange Drive and Peach Avenue instead his trip would be 28 yards longer.

Pythagoras theorem

c = Length of Cherry st. = 85 yards

a = Length of Orange dr.

b = Length of Peach av. = 77 yards

The angle between orange drive and peach avenue has been assumed to be [tex]90^{\circ}[/tex].

We need to find the sum of the distances of the paths orange drive and peach avenue.

So, we need to find the length of orange drive.

Applying the Pythagoras theorem

[tex]a^2+b^2=c^2\\\Rightarrow a=\sqrt{c^2-b^2}\\\Rightarrow a=\sqrt{85^2-77^2}\\\Rightarrow a=36\ \text{yards}[/tex]

The distance traveled when orange drive and peach avenue is taken is

[tex]36+77=113\ \text{yards}[/tex]

The extra distance traveled

[tex]113-85=28\ \text{yards}[/tex]

Learn more about Pythagoras theorem:

https://brainly.com/question/343682

The drama department at Oak Hill High School is hosting a spring play. Tickets for the play are $4 for students (s) and $6 for adults (a). The drama department wishes to raise at least $1600 from this play and have at least 300 people attend the play.

Part A:

Which of the following systems of inequalities models this situation?

4s + a ≥ 1600
s + 6a ≥ 300
4, s, + , a, ≥ 1600, , s, + 6, a, ≥ 300

4s ≥ 1600
6a ≥ 300
4, s, ≥ 1600, , 6, a, ≥ 300

4s + 6a ≥ 1600
s + a ≥ 300
4, s, + 6, a, ≥ 1600, , s, + , a, ≥ 300

6a ≥ 1600
4s ≥ 300

Answers

Answer:

pretty sure its c

Step-by-step explanation:

4s+6a represents how much money the tickets cost per person and they want to raise at least 1600 dollars

s+c represents how many people and they want at least 300 people to attend.

not sure what that last bit is but c is the most logical answer

The roots of a quadratic equation are 5 and 2/3. If one of the two factors is x-5, what could be a second
factor?
Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

Given the roots of quadratic equation to be 5 and 2/3, the two factors are x-5 and x-2/3.

The variable in question are both subtracted from the root given to get the actor of the quadratic equation or polynomial. We can get the resulting quadratic function by multiplying both factors together as shown;

(x-5)(x-2/3)

= x²- 2x/3 -5x +10/3

= x²-(2x-15x)/3+10/3

= x²-17x/3 +10/3

Multiply through by 3

= 3x²-17x +10 = 0

Answers

Answer:

x = -4 or x = 5

Step-by-step explanation:

hope it helped

[tex]\left \{ {{x+4=0} \atop {x-5=0}} \right. \\\left \{ {{x=-4} \atop {x=5}} \right.[/tex]

Thus, x= -4. 5

someone helpp porfavor

Answers

Answer:

I'm pretty sure it's b, hope it's right

Absolute Value Inequalities
|x−7|+|1−x|>6

Answers

Answer:

Step-by-step explanation:

[tex]|x-7|+|1-x|>6\\\\\mathrm{For\:each\:absolute\:find\:positive\:and\:negative\:intervals}\\\\\mathrm{For\:}x\le \:1:\quad x<1\\\\\mathrm{For\:}1<x<7:\quad \mathrm{No\:Solution}\\\\\mathrm{For\:}x\ge \:7:\quad x>7\\\\\mathrm{Combine\:the\:intervals}\\\\<1\quad \mathrm{or}\quad \mathrm{No\:Solution}\quad \mathrm{or}\quad \:x>7\\\\x<1\quad \mathrm{or}\quad \:x>7[/tex]

What is the discriminant of the quadratic equation 9x^2 - 2x - 9 = 0

Answers

Answer:

The discriminant is 328

if we solve the quadratic equation

ax^2+bx+c=0

we will get our answer

Suppose Johnny invests $2,745 into an account, which has been earning interest for many years and he now has a total of $39,974. In two or more sentences explain why a negative number would/wouldn’t be reasonable in the solution of the rate he received on his investment.

Answers

Answer:

i don't understand your question

Answer:

Please Elaborate the question, I cannot understand

Is -15.8 a rational number

Answers

Answer:

Yes because it can be turned into -15 4/5

(sorry if it's incorrect I just started learning this (っ °Д °;)っ)

Yes....................

You want to buy a CD player that costs $100. You get paid $6 per hour
at work. Which equation could you use to find out how many hours you
must work in order to buy the CD player and still have $80 leftover?

Answers

Answer:

6x=100+80

6x=180

x=180÷6

x=30

so we have to work for 30 hours to can buy the CD player and still have $ 80.

In applications, most initial value problems will have a unique solution. In fact, the existence of unique solutions is so important that there is a theorem about the existence and uniqueness of a solution. Consider the initial value problem dy/dx=f(x,y), y(x) = yo. If f and f/y are continuous functions in some rectangle R= {(x,y):a Use the method of separation of variables to find the solution to dy/dx =y1/3? Begin by separating the variables. dy= dx

Answers

Answer:

The answer is "[tex]\bold{ y^{ \frac{2}{3}}} = \frac{2}{3}x + c} \\\\[/tex]"

Step-by-step explanation:

By using the given method we separate the above-given variable and find the solution of:

[tex]\bold{\frac{dy}{dx} =y^{\frac{1}{3}}}[/tex]

Solution:

[tex]\to \frac{dy}{dx} =y^{\frac{1}{3}}\\\\\to \frac{dy}{y^{\frac{1}{3}}} =dx\\\\\to y^{ - \frac{1}{3}} dy =dx\\\\[/tex]

Integrate the above value:

[tex]\to \int y^{ - \frac{1}{3}} dy = \int 1 dx\\\\\\\to \frac{y^{ - \frac{1}{3} +1}}{- \frac{1}{3} +1} = x \\\\ \\\to \frac{y^{ \frac{-1 +3}{3}}}{ \frac{-1+3}{3} +1} = x \\\\\\\to \frac{y^{ \frac{2}{3}}}{ \frac{2}{3} +1} = x \\\\\\\to \bold{y^{ \frac{2}{3}}} = \frac{2}{3}x + c} \\\\[/tex]

Which of the following functions has a range of all real numbers?

Answers

Answer:

Number 2.

Step-by-step explanation:

The second one.

The range of the first is (-∞, 0].

The range is all the possible values of the function.

Find the circumference of a circle with radius, r = 12m.
Give your answer in terms of π.

Answers

Answer:

C = 24 pi meters

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi * 12

C = 24 pi meters

Answer:

24π

Step-by-step explanation:

The circumference of a circle uses this equation: [tex]2\pi r[/tex]. Just like the last question I answered, you want to give the answer in terms of pi, so we aren't going to multiply pi.

The question gives us the radius so we don't have to divide anything, we plug in r with 12 as is.

[tex]C=2\pi 12[/tex]

Now multiply the 2 and the 12 so it will be in terms of pi.

[tex]C=24\pi[/tex]

In terms of pi, the circumference is 24π.

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