Find the equation of the line shown.
У.
4
3
2
х
4-3-2-19
B 46

|A| and |B| denote the determinants of the matrices A and B.

We have

[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]

Then B is a matrix such that |B| = -|A| = +47.

The only choice satisfying this is C, since

[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]

Let the ages be 3x and 4x

ATQ

[tex]\\ \Large\sf\longmapsto 4x-3x=5[/tex]

[tex]\\ \Large\sf\longmapsto x=5[/tex]

Now

[tex]\\ \Large\sf\longmapsto Age\:of\:Minu=3x=3(5)=15years[/tex]

[tex]\\ \Large\sf\longmapsto Age\:of\:Sudhir=4x=4(5)=20years[/tex]

Their present ages are 15 and 20 years.

Let the age of Minu be represented by x

Since the difference between their ages is 5 years, then the age of her brother will be x + 5.

Based on the information given in the question, the equation to use in solving the question will be:

x/(x + 5) = 3/4

Cross multiply

(4 × x) = 3(x + 5)

4x = 3x + 15

Collect like terms

4x - 3x = 15

x = 15

Minu's age is 15 years

Therefore, her brother's age will be:

= x + 5

= 15 + 5

= 20 years

In conclusion, their present ages are 15 and 20 years.

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[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

Answer:

answer is neither, they are both the same shade.

Step-by-step explanation:

if she doubled the colors exactly then it wouldn't be any different. Also IXL told me I'm right :)

Answer:

Neither.

Step-by-step explanation:

Originally, she used the same amount. For the second one, she used double the same amount, but it was still the amount of red wax as of white wax. So, they both had the same amount, which means it is neither.

Answer:

? ≈ 65°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{19}[/tex] , then

? = [tex]cos^{-1}[/tex] ([tex]\frac{8}{19}[/tex] ) ≈ 65° ( to the nearest degree )

Answer:

The angles in the triangle and 10, 80 and 90

Step-by-step explanation:

The two angles that are left in a right triangle add to 90 degrees

8:1 means that there total is 9

8x+1x = 9x

9x = 90

Divide by 9

9x/9 = 90/9

x = 10

8*10 = 80

1*10 = 10

The angles are 80 and 10

The angles in the triangle and 10, 80 and 90

Answer:

A

Step-by-step explanation:

Using similarities we have

(Actual size)/(Shadow length)=60/25=4.5/x

x=4.5*25/60=1.875

Answer:

A) 1.875 feet

Step-by-step explanation:

Answer: 16miles per gallon

Step-by-step explanation:

If he went 32 miles with 2 gallons then divide both sides by 2 to get 16 miles with 1 gallon so he travels 16 miles per gallon

Answer:

jsjuuusjus??dujj??uu?jw?wuw?jjdj

Step-by-step explanation:

e

q

iwsj

l

Answer:

4-5x = 2x+25

-5x+4 = 2x+25

-7x = 21

x = -3

4 - 5(-3)

4 + 15

19

AC = 2 x 19

AC = 38

Let me know if this helps!

Answer:

Step-by-step explanation:

The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45

The angle in the right triangle is given as 52.

The cos(52) = adjacent side (which we just found to be 6) / y

Multiply both sides by y

y cos(52) = 6

cos(52) = 0.6157

Divide by sides by cos(52)

y = 6 / cos(52)

y = 6 / 0.6157

y = 9.76

Answer:

4 Flaps per second

Step-by-step explanation:

M = 120/30

Answer:

4 times per second

Step-by-step explanation:

120 ÷ 30 = 4

30 ÷ 30 = 1

4 flaps per 1 second

so basically 4

Answer:

Base of the ladder is 3 meters away from the building.

Step-by-step explanation:

Let's use Pythagoras theorem to solve.

Pythagoras theorem says,

[tex]a^{2} +b^{2} =c^{2}[/tex]

Here let horizontal distance is "a''

Vertical distance of window is 4 m

So, b=4

The Rafi leans 5 m ladder against the wall. So, c=5.

[tex]a^{2} +4^{2} =5^{2}[/tex]

Simplify it

[tex]a^{2} +16=25[/tex]

Subtract both sides 16

[tex]a^{2} =9[/tex]

Take square root on both sides

a=±3

So, base of the ladder is 3 meters away from the building.

Answer:

1437.33 cm square

Step-by-step explanation:

Now we will use the frmula to et the volume of a sphere

volume of sphere is

4÷3pi r cube

where r is the radius of the sphere

Answer:

y = 1.5

Step-by-step explanation:

Given x is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of proportion

To find k use the condition when x = 8, y = 2

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of proportion

When x = 15 , then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5

=====================================================

Explanation:

Refer to the diagram below. I've drawn diagonal that slopes upward. This diagonal cuts the quadrilateral into two triangles: One is equilateral and the other is isosceles.

The equilateral triangle marked in blue has all three angles 60 degrees each.

Note that the 60 and y angles combined to form 130, so,

60+y = 130

y = 130-60

y = 70

Then focus on the isosceles triangle (angles y, w and w). These three interior angles must add to 180

y+w+w = 180

70+2w = 180

2w = 180-70

2w = 110

w = 110/2

w = 55

This adds onto its adjacent neighbor of 60 to get w+60 = 55+60 = 115 degrees which is the value of x.

Answer:

n = 0

Step-by-step explanation:

[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]

Answer:

n = 0

Step-by-step explanation:

-3/4(8h + 12) = 3(n - 3)

-6h - 9 = 3n - 9

-6h - 3n = -9 + 9

-9n = 0

n = 0

Answer:

5

Step-by-step explanation:

Answer:

f(2)= 1

f-¹(1)= 2

f-¹(f(2))= 2

I hope I helped you^_^

Answer:

- 120

Step-by-step explanation:

call x is the number you want to find

Answer:

The chalkboard costs $54.00

Step-by-step explanation:

A chalkboard is in a shape of a rectangle. The chalkboard mentioned measures 1 meter by 2 meters.

The area of a rectangle is given by the formula:

A = lw

Use formula:

A = (2)(1) = 2 m^2

The chalkboard costs $27.00 per square meter so:

2 x 27 = 54

The chalkboard costs $54.00

[tex]\\ \sf\longmapsto 1+tan^2A[/tex]

[tex]\boxed{\sf tanA=\dfrac{sinA}{cosA}}[/tex]

[tex]\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}[/tex]

[tex]\boxed{\sf cos^2A+sin^2A=1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1-sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{sin^2A}[/tex]

Hence verified

Answer:

98°+62°+6x = 180

160+6x = 180

6x = 180 - 160

6x = 20

x= 20/6

x= 3.33

therefor your answer is 3.33

Answer:

x=2,y=2

Step-by-step explanation:

3y-1 = 5

or, 3y = 5+1

or, y = 6/3

y = 2

2x+1 = 3y-1

or, 2x = 3×2-1-1

or, 2x = 4

or, x = 2

[tex]\\ \sf\longmapsto \left[{2x+1\atop 2x+x}\:\:\:{3y-1\atop 3}\right]=\left[{3y-1\atop 4}\:\:\;{5\atop 3}\right][/tex]

[tex]\\ \sf\longmapsto 3y-1=5[/tex]

[tex]\\ \sf\longmapsto 3y=5+1[/tex]

[tex]\\ \sf\longmapsto 3y=6[/tex]

[tex]\\ \sf\longmapsto y=2[/tex]

Put the value in 1st one

[tex]\\ \sf\longmapsto 2x+1=3y-1[/tex]

[tex]\\ \sf\longmapsto 2x+1=3(2)-1[/tex]

[tex]\\ \sf\longmapsto 2x+1=6-1[/tex]

[tex]\\ \sf\longmapsto 2x+1=5[/tex]

[tex]\\ \sf\longmapsto 2x=5-1[/tex]

[tex]\\ \sf\longmapsto 2x=4[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{4}{2}[/tex]

[tex]\\ \sf\longmapsto x=2[/tex]

Answer:

I think the one below is correct

Step-by-step explanation:

3a^2 + 2ab + c^2 = 0

Answer:

students' ratings of their professors' performance on a five-point scale ranging from poor to excellent

Step-by-step explanation:

There are four type of scales in mathematics. They include:

1. Nominal scale : they do not measure quantity. they are used to classify a population into two or more scales that are exhaustive and mutually exclusive. e.g. classifying a population based on gender, naming the different car brands seen in a school's parking lot

2. Ordinal scale : this scale measures ranks a population from best to worst or from least to most. e.g. ranking the participants of a race based on their performance

3. Interval scale : this scale has the property of order and equal intervals. Zero is not meaningful.

Interval scale is used when the difference between the numbers are meaningful. e.g. students' ratings of their professors' performance on a five-point scale ranging from poor to excellent Here a child who is scored 1, did very poorly and a child scored 5, performed excellently well.

4. Ratio scale :  this scale has the property of order, a meaningful zero and equal intervals.

The ratio x : x : x√2 has two parts identical to each other ( x : x) this means two of the angles also need to be identical.

Answer: 45 -45 -90

Answer:

5

The correct answer is Y= - __

4

Answer: B. 1.5 × 10⁻¹⁸

Step-by-step explanation:

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

When converting scientific notation to an integer:

When converting an integer to scientific notation:

Given:

Mass of one water molecule = 3.0 × 10⁻²³

Total number of molecules (required by the question) = 50,000

Solve:

Formula

Total mass = Mass of one water molecule × Total number of molecules

Substitute the values into the formula

Total mass = 3.0 × 10⁻²³ × 50,000

Convert 50,000 into scientific notation

Total mass = 3.0 × 10⁻²³ × 5 × 10⁴

Multiply numbers together/ Multiply exponents together

Total mass = 15 × 10⁻¹⁹ = 1.5 × 10⁻¹⁸

Hope this helps!! :)

Please let me know if you have any questions