If 3/4 of one of the acute angles of a right-angled triangle is 15 1/4 larger than 1/6 of the other, find the acute angles.​

Answers

Answer 1

Answer:

Step-by-step explanation:

A + B = 90

A/6(15.25) = 3B/4

61A/18 = B

18A/18 + 61A/18 = 90

A = 90(18)/79

A = 20 40/79°

B = 90 -A = 69 39/79°


Related Questions

What is the value of 1/6 with an exponent of 0

Answers

The answer is 1. Anything to the 0 power is 1.

what is the value of x in m(x+n)=n​

Answers

The equation m(x + n) = n​ si solved for x will be given as x = n / m (1 - m).

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation is given below.

m(x + n) = n​

By simplifying for x, then we have

x + n = n / m

     x = n / m - n

     x = (n - mn) / m

     x = n / m (1 - m)

More about the linear system link is given below.

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I need help with this question

Answers

Answer:

Go download CameraMath on playstore that how

I is get my answer

Mark has a certain amount budgeted for dining out each month. Last month, the difference between the amount he budgeted and the amount he actually spent on dining out was less than -20 dollars.

Which of the following best describes this situation?
A.
Mark is under his budget by less than 20 dollars.

B.
Mark is under his budget by more than 20 dollars.

C.
Mark is over his budget by less than 20 dollars.

D.
Mark is over his budget by more than 20 dollars.

Answers

A. He used 20$ under his budget because he wanted to spend less then 20$ for dinner

Evan is organizing textbooks on his bookshelf. He has an English textbook, a biology textbook, a physics textbook, and a writing textbook. How many different ways can he line the textbooks up on his bookshelf?

Answers

Answer:

there is many ways but he could put them side to side or top and bottom

Step-by-step explanation:

Which expression has a coefficient of 4?
A
(2^x)+4
B
4(2^x)+1
C
2(x^4)+1
D
2(4^x)+1

Answers

Answer:

Option D

Step-by-step explanation:

[tex]\\ \sf\longmapsto 2(4^x)[/tex]

You have to first find 4^x and then multiply it with two .

Not like this

[tex]\\ \sf\longmapsto 2(4^x)=8^x [/tex](×)

Hence the variable has coefficient 4 as 4^x is multiplied.

Jessica made $156 for 12 hours of work.
At the same rate, how much would she make for hours of work?

Answers

Answer:

156/12=13

so makes 13 dollars a hour

Hope This Helps!!!

Jamal wrote that 9 – 8.4 = 6.

Answers

9−8.4=6

0.6≠6

False

I don't know...

Answer:

0.6 his answer is false.

Step-by-step explanation:

...

Pencils can be purchased in packages of 12 or 25. If Karl purchased 8 packages to get 135 pencils, how many packages of 12 did he buy?

Answers

Answer: 60

Step-by-step explanation:

list all of the multiples and choose the least common number

10:   10  20  30  40  50  60  70  80  90  100

12:   12  24  36  48  60  72  84  96

find a number that shares all the prime factors of the two numbers

prime factors of 10: 2, 5

prime factors or 12: 2, 2, 3

LCM = 60

please help. one algebra question for 20 points

Answers

Answer:

f(-18) = -5

Step-by-step explanation:

Substitute−18forxiny=

1/3 x+1:

y= 1/3x+1

y= 1/3(−18)+1

y=−5(Simplify both sides of the equation)

Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.

Answers

Answer:

19.228

Step-by-step explanation:

multiply 2.2*2.3*3.8 to get 19 yd^3

how can you find 72-25? circle all the correct answers

Answers

You can find it by doing out the math and the equation

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

PLEASE HELP!!!
True or false
3(x-2) and 3x-6 are
equivalent

Answers

Answer:

true!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

True.

Step-by-step explanation:

They are equivalent expression because if you distribute the 3 in 3(x-2), you will get the same expression as 3x-6.

3(x-2) =

(3*x) - (3*2) =

3x - 6

Hope this helps.

Chi is planning to put a path of paving stones through her flower garden. The flower garden is a square with sides of 15 feet. How many feet long will the path be?

Answers

80 feet long because 1x1 1 80x1 80 sooooooooooo that’s your answer!!!

Write the equation to the line parallel to y= 3x – 5 that goes through the point (-2, -7) using any form.

Thank you!

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 5 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (- 2, - 7 ) into the partial equation

- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1

y = 3x - 1 ← equation of parallel line

Simplify.

57.8 – 4.07

Answers

Answer:

53.73

Step-by-step explanation:

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7
10
12
22

Answers

Answer:

[tex]\displaystyle b = -22[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]

Where b is a constant and g is a differentiable function.

And we want to determine the value of b such that f'(2) = 0.

Find f' using the product rule:

[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]

Substitute using known values and solve for b:

[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]

In conclusion, the value of b is -22.

The function f is given b is a constant and g is a differentiable function the value b (-8.4),

Let's start by finding the derivative of the given function f(x) with respect to x:

f(x) = (x³ + bx + 6) × g(x)

Using the product rule for differentiation, the derivative of f(x) is:

f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)

Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):

f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)

Since g(2) = 3 and g'(2) = -1,

f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)

= (2b + 14 - 8) + 3× (12 + b)

= 2b + 6 + 36 + 3b

= 5b + 42

Now, we want to find the value of b for which f'(2) = 0:

5b + 42 = 0

Subtracting 42 from both sides:

5b = -42

Dividing both sides by 5:

b = -8.4

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Complete question:

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7

10

12

22

-8.4

I need help with this please​

Answers

Answer:

I’m not sure what that means but I think it’s the one with the blue

Step-by-step explanation:

Find the Value for X,Y and z using Gauss-Jordan Inversion method
2X+3Y=4
X+2Y=2

Answers

Answer:

x = 2 y = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help me prove that ED is congruent to BA! I thought I had it right by proving right and vertical angles, but I’m missing something

Answers

Step-by-step explanation:

[tex]\overline{DA} \text{ bisects } \overline{EB}[/tex]     is given

[tex]\overline{BC} \cong \overline{EC}[/tex]  definition of bisect

[tex]\overline{EB} \perp \overline{ED}, \, \overline{EB} \perp \overline{BA}[/tex]  are both given

[tex]\angle B, \, \angle E \text{ are right angles}[/tex]  definition of perpendicular

[tex]\angle B \cong \angle E[/tex]   because all right angles are congruent

[tex]\angle{ACB} \cong \angle{DCE}[/tex]  vertical angles are congruent

[tex]\triangle{ACB} \cong \triangle{DCE}[/tex]   ASA (angle-side-angle)

[tex]\overline{ED} \cong \overline{BA}[/tex]  CPCTC (corresponding parts of congruent triangles are congruent)

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8593 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 464 ​candies, and the package label stated that the net weight is 396.1 g.​ (If every package has 464 ​candies, the mean weight of the candies must exceed 396.1 464=0.8537 g for the net contents to weigh at least 396.1 ​g.)

Answers

Answer:

The package label stated that the net weight is 381.8g If every package has ... brand of candies have a mean weight of 0.8616g and a standard deviation of ...

Can someone help me? I don't understand this

Answers

1 is 3/20 2 is 7/4 3 is 1 number 4 is 15/14

Hurry!! Answer it please:))

Answers

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

Answer:

C is the answer!:)

Step-by-step explanation:

Domain is all numbers on the left and range is on the right

A force of 18 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W W is done in stretching it from its natural length to 7 in. beyond its natural length

Answers

Answer:

Step-by-step explanation:

Average force is (19 + 0)/2 = 9 lb

2 inches = 1/6 ft

W = Fd = 9(1/6) = 1.5 ft•lb

Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0

Answers

Step-by-step explanation:  

x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0

(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12

Answer:

The center is at (1, 6) and the radius is 1.

Step-by-step explanation:

x^2 + y^2 - 2x - 12y +36 = 0

Convert to standard form:

x^2 - 2x + y^2 - 12y = -36

(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36

(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1

(x - 1)^2 + (y - 6)^2 =  1

The center is at (1, 6) and the radius is 1.

In ΔMNO, \text{m}\angle M = (6x+1)^{\circ}m∠M=(6x+1) ∘ , \text{m}\angle N = (3x-10)^{\circ}m∠N=(3x−10) ∘ , and \text{m}\angle O = (x+19)^{\circ}m∠O=(x+19) ∘ . Find \text{m}\angle N.m∠N.

Answers

Applying the triangle sum theorem, m∠N = 41°

What is the Triangle Sum Theorem?

Triangle sum theorem states that the sum of the three interior angles of any triangle equals 180°.

Given the following interior angles of ΔMNO:

m∠M = (6x+1)°

m∠N = (3x-10)°

m∠O = (x+19)°

Find the value of x:

m∠M + m∠N + m∠O = 180°

Substitute

6x+1 + 3x-10 + x+19 = 180

Add like terms

10x + 10 = 180

10x = 180 - 10

10x = 170

Divide both sides by 10

x = 17

m∠N = (3x-10)°

Plug in the value of x

m∠N = 3(17) - 10

m∠N = 41°

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i need help btw im 6th grader

Answers

23.27
- 5.3
———-
17.97

:)

What's the missing addend 634 + =644

Answers

Answer:

10

Step-by-step explanation:

it is 10 cause 634+10=644

Answer:

10

Step-by-step explanation:

What is the missing addend?

We can fill in the blank with x

634+x=644

Now we need to get x to the other side

The rule to do this is what we do on one side we have to do the same thing to the other side

so if we subtract 634 on one side we also have to do that on the other side as well:

634-634+x=644-634

634-634 is 0

So it is

x=644-634

644-634 is 10

x=10

So the missing addend is 10

Hope this helps!

help how do I do this!!!!

Answers

In order to find each one, we need to divide 23.96/4 to find what each pound costs. After dividing, you get 5.99. Each pound costs 5.99. So for the first one just multiply 2x5.99 and get 11.98. And the second one shows 17.97 so we can just divide 17.97 by 5.99 and get 3. Just work off of that and you’ll get the rest! But the answer would turn out to be C because you add 5.99 to 23.96 and you get 29.95! Hope this helped

Answer:

C

Step-by-step explanation:

Since the weight is proportional to the cost, let's find the slope of the chart.

(x,y) corresponds to (weight, cost)

Pick 2 coordinate points with both the weight and cost.

(4, 23.96) (6, 35.94)

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{35.94-23.96}{6-4}= 5.99[/tex]

One pound is 5.99 dollars.

So to fill in the chart, multiply 5.99 by the number of pounds.

y=5.99x

2 lbs | $11.98

3 lbs | $17.97

4 lbs | $23.96

5 lbs | $29.95

6 lbs | $35.94

With this information, C would be the correct answer.

most of the mathematical symbols were not invented until 16th century, before that how equations were written?

Answers

Answer:

During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics

Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.

For example, Y + 10 = 4.5 would be written as

The thing plus ten equal to eight.

It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:

Multiplication Sign ×  (1618)Plus/Minus Sign ±  (1628)Inequality Signs > and < (1631)Percentage Sign % (1650)Infinity Sign ∞ (1655)Division Sign ÷  (1659) to mention a few.

Prior to the 16th century, some mathematical signs were already in use. They are:

Plus Sign   +   (1360)Minus Sign - (1489)Square Root Sign (1525)Equals Sign = (1557) to mention a few.

See the link below for more about Mathematical Signs:

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