Find the quotient. 48a 3 bc 2 ÷ 3abc

Answer:

∠DAB

Step-by-step explanation:

A supplement to an angle is one that will sum to 180° with the given angle.  ∠ABC is 110°; this means its supplement will be 180-110 = 70°.

The angle in the quadrilateral that is 70° is ∠DAB.

Answer:

In ΔC BA and Δ DEA

1.  ∠B CA = ∠ E DA →→[Given]

2. CB≅DE →→[Given]

3. ∠ABC ≅ ∠A ED →→[Given, each being ,90°]

  ΔC BA ≅ Δ DEA →→→→[S AS]

⇒Why not,option 4, because,you have to match each corresponding angle and side of one triangle  to each corresponding angle and corresponding side of another triangle.

→→Option C or 3: →→ΔC BA ≅ Δ DEA

BA and EA , are corresponding Smallest sides.

CB and DE, are corresponding Altitudes.

AC and AD,are corresponding Hypotenuses.

Final answer:

The number 9.125 x 10¹⁰ in standard form is 91,250,000,000.

Explanation:

The number 9.125 x 10¹⁰ in standard form is written as 91,250,000,000.

The documentation "E10" addresses increasing the number by 10 raised to the force of 10. For this situation, "E10" signifies we really want to increase 9.125 by 10¹⁰.

To work out this, we move the decimal guide 10 spots toward the right, bringing about an extremely huge number:

9.125 E10 = 9,125,000,000

In this way, 9.125 E10 in standard structure is 9,125,000,000.

To graph the equation y + 6 = 45(x + 3) using the point and slope given, rearrange the equation in slope-intercept form y = mx + b. Choose two points on the line and plot them on a coordinate plane, then draw a straight line passing through the points.

To graph the equation  using the point and slope given, we can start by rearranging the equation in slope-intercept form where  is the slope and is the y-intercept. So, let's rewrite the equation as The slope is and the y-intercept is

Now, to graph the line, we can choose two points on the line. Let's pick  and as our points. Substituting these values into the equation, we get the corresponding y-values as  and These two points are and

Finally, we can plot these two points on the coordinate plane and draw a straight line passing through them to represent the graph of the equation

Answer:

no its not reasonable

Step-by-step explanation:

8 times 10 is 80 which is really far from 808.632

The speed by which the boy swims as fast as the fish will be 528.01 yards per minute.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that a fish swims at a speed of 12 miles per hour and a boy swims at a speed of 4.4 feet per second.

As we know,

1 mile per hour = 29.3333 yards per minute

12 miles per hour = 12 × 29.3333 yards per minute

12 miles per hour = 351.99 yards per minute

1 feet per second = 20 yards per minute

4.4 feet per second = 44 × 20 yards per minute

4.4 feet per second = 880 yards per minute

The difference in their speed is,

=  880 yards per minute - 351.99 yards per minute

= 528.01 yards per minute

Thus, the speed by which the boy swims as fast as the fish will be 528.01 yards per minute.

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Final answer:

The measure of ∠CAE is found by adding ∠CAB to half of ∠ABC. Since ∠ABC is 30° (calculated from the triangle angle sum), ∠ADE is 15°. Therefore, ∠CAE is 97°.

Explanation:

To find the measure of m∠CAE, let's use the information provided. Since DE is the perpendicular bisector of AB, we know that ∠ADE is a right angle (90°).

In ΔABC, the sum of the angles is 180°. We have m∠CAB = 82° and m∠C = 68°. To find m∠ABC, we subtract these from 180°:

180° - 82° - 68° = 30°

Since DE is the perpendicular bisector, ∠ADE is half of ∠ABC, thus:

∠ADE = 30° / 2 = 15°

Finally, we find m∠CAE by adding ∠CAB to ∠ADE:

m∠CAE = 82° + 15° = 97°

Final answer:

To find angle CAE, we use the properties of perpendicular bisectors and the given angles to determine that m∠CAE = 41°.

Explanation:

In triangle ABC, the perpendicular bisector of side AB intersects side AB at point D and side BC at point E. To find angle CAE, we need to use the properties of perpendicular bisectors and the given angles.

The perpendicular bisector of AB passes through the midpoint of AB, which is also equidistant from A and B. This means that CD is an angle bisector of angle CAB. Since the perpendicular bisector of AB is also perpendicular to AB, we have m∠CAD = m∠CAB/2 = 41°.

Since AC is a common side, triangles ACD and ACE share two congruent angles (m∠CAD and m∠CAE), making them similar. We can use the property of corresponding angles in similar triangles to find m∠CAE = m∠CAD = 41°.

Answer:

The answer is A

Step-by-step explanation:

A) Ramon drive 50 miles per hour

The unit rate of Ramon is A) Ramon drives 50 miles per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Ramon drives his car 150 miles in 3 hours.

Therefore, The unit rate of Ramon can be obtained by dividing the total miles driven by the total time taken which is,

= (150/3).

= 50 miles per hour.

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Answer:  D. $10,080

Step-by-step explanation:

The formula to find  the simple interest is given by :-

[tex]S.I.=Prt[/tex], where P is principal amount , r is rate of interest ( in decimal ) and t is time period.

Given : Principal amount = $8,000

The rate of interest = 6.5% = 0.065

Time period= 4 years

Then , the simple interest will be :-

[tex]S.I.=8000\times0.065\times4=2080[/tex]

Hence, the amount which Malik pay back altogether = [tex]P+S.I.=8000+2080=\$10,080[/tex]

Answer:

a

Step-by-step explanation:

should be right

Square root helps to find the factor of a number which when multiplied by itself gives us the number. The value of √1.69 is √1.3.

Square root can be defined as the process of finding a number which is a factor of a number when multiplied by itself to get a number.

In order to evaluate the value of √1.69, we will convert decimal value 1.69 into a fraction, therefore, the fraction can be written as,

[tex]1.69 = \dfrac{169}{100}[/tex]

Now, using this equivalent value of 1.69, the evaluation can be written as,

[tex]\sqrt{1.69}\\\\= \sqrt{\dfrac{169}{100}}[/tex]

Further, using the exponential property the value can be written as,

[tex]= \sqrt{\dfrac{169}{100}}\\\\\\={\dfrac{\sqrt{169}}{\sqrt{100}}}\\\\\\=\dfrac{13}{10}\\\\=1.3[/tex]

Hence, the value of √1.69 is √1.3.

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Given tanθ = 4/3 and sin θ =-4/5, based on the Pythagorean identity the cos θ is  3/5.

The sine, cosine, and tangent of an angle are related by the Pythagorean identity sin²(θ) + cos²(θ) = 1.

This means we can solve for cosine given the sine value:

cos²(θ) = 1 - sin²(θ)

We know that sin(θ) = -4/5, so:

cos²θ) = 1 - (-4/5)²

cos²(θ) = 1 - 16/25

cos²(θ) = 9/25

Taking the square root of both sides,

we find that cos(θ) could be ±3/5.

However, we need to consider the quadrant in which theta is located. Since the tangent of theta is positive (4/3) and the sine of theta is negative (-4/5), theta must be in the fourth quadrant (where sine is negative and tangent is positive). In the fourth quadrant, cosine is positive.

Therefore, cos(theta) = 3/5.

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Actually, the domain is the possible set of input values of a function that will make the function fit the specific criteria. In this case, the input value is m, where m is the number of miles that is travelled. The criteria is to travel at least 10 miles but not more than 30 miles, therefore the domain should be:

All real numbers from 10 to 30, inclusive

(should be real numbers not integer since any fractional number is included in the domain)

I cannot figure out why the choices are far from the answer.

Final answer:

The expression for the greater number is a + 8, which is found by adding the given difference of 8 to the lesser number a.

Explanation:

The student has given us an equation to work with: The difference between two numbers is 8, and the lesser number is known as a. To find the expression for the greater number, we simply need to add the difference to the lesser number. Therefore, the greater number can be expressed as a + 8.

Let's illustrate this with an example. If the lesser number, a, is 5, then to find the greater number, we add the difference of 8 to 5, giving us 13 as the greater number.

we have

[tex]y=12x-3[/tex]

Step 1

Make a table of ordered pairs for the equation

Assume different values of x and calculate the value of y in the equation

A) For [tex]x=-1[/tex]

[tex]y=12*(-1)-3=-15[/tex]

the ordered pair is [tex](-1,-15)[/tex]

B) For [tex]x=-0.5[/tex]

[tex]y=12*(-0.5)-3=-9[/tex]

the ordered pair is [tex](-0.5,-9)[/tex]

C) For [tex]x=0[/tex]

[tex]y=12*(0)-3=-3[/tex]

the ordered pair is [tex](0,-3)[/tex]          

D) For [tex]x=0.5[/tex]

[tex]y=12*(0.5)-3=3[/tex]

the ordered pair is [tex](0.5,3)[/tex]

E) For [tex]x=1[/tex]

[tex]y=12*(1)-3=9[/tex]

the ordered pair is [tex](1,9)[/tex]     

in the attached figure  see the table

Step 2

Graph the line

Plot the points [tex](0,-3)[/tex]  and [tex](1,9)[/tex]

see the attached figure

Answer:

This is what I got

Step-by-step explanation:

I don't really have an explanation but this is the right answer for my test.

Answer:

All real solutions is your answer.

Step-by-step explanation:

I took the K12 quiz