Mathematics High School

Solve for the value of K

Answers

Answer 1

Answer:

k = 5

Step-by-step explanation:

The straight angle is 180º

The right angle is 90º

Therefor

(8k + 1) + 90 + 49 = 180

combine like terms

8k + 140 = 180

Subtract 140 from both sides

8k = 40

Divide both sides by 8

k = 5

Answer 2

Answer:

16.25

Step-by-step explanation:

Related Questions

Simplify. 54+4(3/4−1/2)2

Answers

Answer:

Step-by-step explanation:

54 + 4(3/4 − 1/2)2

=> 54 + 4(1/4)2

=> 54 + (1)2

=> 54 + 2

=> 56

Therefore, 56 is our answer.

Hoped this helped.

PLS HELP WILL MARK BRAINLIEST!

Answers

Answer:

I'd say the answer is cube of a binomial, because when something is specifically raised to the 3rd power, that number is being cubed. (When you square a number it has an exponent of 2, whereas when you cube a number it has an exponent of 3.)

Step-by-step explanation:

Hope this helps :)

EASY POINTS
2+2=?
4+4=?
6+6=?

Answers

Answer:

Below

Step-by-step explanation:

2+2 = 4

4+4= 8

6+6=12

Hi again could you help me please
Find the area of the composite shape.

Answers

Answer:

For the one on the far left its 104 m2

Step-by-step explanation:

u split the shape in a square and rectangle

them u fin the area of the square by multiplying both sides. (8*8)

then u find the area of the rectangle by using the formula

2*(16+4)

when u find both areas u count them up and it'll become 104 m squared

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100
hours, and distribution approximated by a normal curve. Calculate the percentage of bulbs and total
number of light bulbs that can be expected to last the period of time indicated. Round to the nearest
hundredth for percent, if possible.

Draw the normal curve

What range of hours constitutes 96% of light bulb hours of life?

Between 300 and 700 hours

Less than 600 hours

Answers

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

A cube has volume 1331cm3. Calculate the length of one edge of the cube.

Answers

Answer:

answer=11 cm.

Step-by-step explanation:

V = Volume of cube

a = edge

Formula of volume of cube:

V = a³

[tex]1331 = {a}^{3} \\ \sqrt[3]{1331} = a \\ a = 11[/tex]

The length of each edge is 11 cm.

A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar

Answers

Answer:

8 batches

Step-by-step explanation:

You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.

The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?

Answers

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

Someone plz help me :(

Answers

Answer:

I think it's D

Step-by-step explanation:

Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.

When deriving the Quadratic Formula, we start with the general equation for a quadratic:

Answers

Answer:

Step-by-step explanation:

c sss

evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =

Answers

Answer:

h(4) = -1 ; h(-5) = 1 h(0) = -9

Step-by-step explanation:

a) h(x) = |-2x| - 9 Substitute x = 4

h(4) = | -2 · 4| - 9

h(x) = | -8| - 9

h(4) = 8 - 9

h(4) = -1

b) h(x) = |-2x| - 9 Substitute x = -5

h(-5) = |-2 · -5| - 9

h(-5) = |-10| - 9

h(-5) = 10 - 9

h(-5) = 1

c) h(x) = |-2x| - 9 Substitute x = 0

h(0) = |-2 · 0| - 9

h(0) = |0| - 9

h(0) = 0 - 9

h(0) = -9

Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S

Answers

Answer:

Opposite: Line SQ

Adjacent: Line SR

Hypotenuse: Line RQ

Step-by-step explanation:

In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

By reflection

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

100 if u get this right ty have a nice day!

Answers

Answer:

Step-by-step explanation:

2+4 over 2

x 3

= 9

Teddy
1House A is twice as tall as House B. How tall is House B?
House
Height (ft)
A
24
B

Answers

How tall is house a? If a is 24 ft tall than B is 48 ft tall

Answer:

Step-by-step explanation:

House A is 24. So divide it by two to get 12. Which is house B

State what additional information is required in order to know that the triangles are congruent for the reason given. If possible, write the triangle congruence statement.

refer to attachment

Answers

Answer:

SU ≅ RPΔPQR ≅ ΔUTS

Step-by-step explanation:

For SSS congruence, all three pairs of sides must be marked as congruent. That is, there needs to be 3 hash marks on sides SU and RP. (Note the order of the vertices.)

needed: SU ≅ RP

If we label the triangles in order by hash marks, the congruence statement becomes ...

ΔPQR ≅ ΔUTS

Please help me

20 points

Answers

Answer:

1). Simplify the expression.

Exact Form:

( [tex]\frac{37}{25}[/tex] )

Decimal Form:

1.48

Mixed Number Form:

( [tex]1\frac{12}{25}[/tex] )

2). Simplify the expression.

91.46

3). Simplify the expression.

Exact Form:

[tex]\frac{17}{24}[/tex]

Decimal Form:

0.7083 ( bar notation)

4). Simplify the expression.

81.49

What is the slope of this line?

Enter your answer as a whole number or a fraction in simplest form in the box.

Answers

Answer:

1/4

Step-by-step explanation:

use 2 points from the graph (-4,5) and (0,6) and put them in the distance equation.

(y2-y1)

----------

(x2-x1)

6-5

-------

0-(-4)

1/4

A machine cuts a strip of carpet into 2 pieces. the length of the smaller piece is 5 meters greater than 1/4 the length of the larger piece. If the length of the smaller piece is 12 meters, the length of the bigger piece is (A, 13.5 B, 14 C, 20 D, 28) meters and the total length of the carpet is (A- 25.5, B- 26, C- 32, D- 40) meters

Answers

Answer:

The answer to the is 28 and 40! hope this helps love

solve the equation please
142=10+4x+7x
x= what

Answers

Answer:

Step-by-step explanation:

142=10+12x

132=12x

11=x

Answer:

x=12

Step-by-step explanation:

what is the slope of the line?

Answers

Answer:

The slope is 3 or 3/1

Step-by-step explanation:

help with this question

Answers

Answer:

Step-by-step explanation:

PLS WHAT IS THE REAL ANSWWR ASAP

Answers

the answer is t<-48

i hope this helped you if you need the explanation lmk

What is the m 2x-3=5x-12

Answers

Answer:

15 is the answer

Step-by-step explanation:

If it was designed as an alternate angle, then it would 63 degrees

what is halfway between 140,000 and 150,000

Answers

Answer:

145000

Step-by-step explanation:

(150000-140000)÷2=10000÷2

=5000

140000+5000=145000

Answer:

145,000

Step-by-step explanation:

To find halfway between two numbers is the same as finding the mean of two numbers.

140,000+150,000=290,000

290,000/2

=145,000

Hope this helps :)

How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]

Answers

Answer:

Horizontal translation of the parent graph

Step-by-step explanation:

Definitions:

In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:

(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.

A horizonal translation to the parent graph is given by, y = f(x - h), where:

h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the left

In the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).

While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).

Answers:

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.

Work out the shaded area of this shape.

Answers

Answer:

Step-by-step explanation:

An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?

Answers

Answer:

The answer is $28.93.

Step-by-step explanation:

Using the butterfly method I got $28.93 as my answer.

$68.89 x 42%= $2,893.38

$2,893.38÷100%= $28.9338

$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.

Answer:

answer is D.

68.89 x .42= $28

Step-by-step explanation:

to get your answer you multiply the numbers.

$68.89 x .42 = $28

your answer is $28.

hope this helps!

please make me brainliest !

plz help ill give brainliesy

Answers

Answer:

0.02a

Step-by-step explanation:

Since 0.02 is equal to 2 cents, he would get 0.02a annually. This is because a represents the income from interest and 0.02 is the amount of money made for interest.

Is -5/2 greater than 3?

Answers

Answer:

No -5/2 is not greater than three.

Step-by-step explanation:

You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.

Answer:

Step-by-step explanation:

[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.

Positive integers don't have a plus sign in front of it because we already assume it is there.

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