Angle A is 5x-15. Angle B is 2x+21. Solve for x then find the measure for Angle B

A. this is because when you multiple 280 by 9 you get 2,520 and to get 25% multiple that number by .25 and get 630, add 2520 and 630 to get 3150 ,, subtract 3114 from 3150 to get 36

Answer:

A. He will break the record by 36 yards.

Step-by-step explanation:

Last year:

average yards per game: 280 yards

Increase by 25%:

average yards = 125% of 280 yd = 1.25 * 280 yd = 350 yd

By increasing the yards per game by 25% he will have an average of 350 yd per game this year.

The school record is 3,114 yd, so the average per game for a 9-game season is: 3,114 yd/9 = 346 yd.

He will pass the record by 350 yd - 346 yd = 4 yd per game.

In a 9-game season, he will break the record by 9 * 4 yd = 36 yd.

Answer: A. He will break the record by 36 yards.

Answer:

1

Step-by-step explanation:

once we know 2 of the angles we can find a third. once we have all 3 angles we only need one side length to tell us how big it is.

Bonus question: How many triangles can be drawn with one 3 inch side ,a 4 inch side, and a  20ºangle?

Only one triangle is formed with an angle 90° , angle 70° and included side with 3 inches.

What is a triangle?

A triangle is a three sided polygon, which has three vertices.

Given that;

Measure of two angles are angle 90° and angle 70°.

Length of side = 3 inches.

Now, Measure of two angles are angle 90° and angle 70°.

Since, Sum of all angles of an triangle are 180°.

Let third angle = x

So, 90° + 70° + x = 180°

160 + x = 180

x = 20°

Thus, We can formed only one triangle.

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Least: 10.5

Greatest: 14.125

Hope that helps!

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The data is given below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

Arrange the order into ascending order. Then we have

10.5, 11.25, 11.25, 11.25, 12, 12.5, 14.125

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

More about the ascending order link is given below.

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Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.

Step-by-step explanation:

For this case we have that, by definition of properties of powers and roots, it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Now, from option B we have:

[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So:

[tex](x ^ {\frac {a} {m}) ^ b =[/tex]

[tex]x ^ {\frac {ab} {m}} =[/tex]

[tex]\sqrt [m] {x ^ {ab}}[/tex]

Thus, it is observed that equality was demonstrated.

THE correct option is B.

ANswer:

Option B

I think it has one x-intercept which is (0, -47). I am not really sure though.

Answer:

13

Step-by-step explanation:

First drop the line.

How many units is it from Point r to the x axis?

12.

How many units is it from Point r to the y axis?

5.

Now we can use the Pythagorean Theorem.

[tex]12^2+5^2=c^2 \\ \\ 144+25=c^2 \\ \\ c^2=169 \\ \\ c=13[/tex]

The calculated length of the hypotenuse r has a value of 13 units

From the question, we have the following parameters that can be used in our computation:

The point P

Where, we have

P = (-5, 12)

This means that

(x, y) = (-5, 12)

The length of the hypotenuse r is calculated as

r = √[x² + y²]

Substitute the known values into the equation

r = √[(-5)² + 12²]

r = √169

When evaluated, we have

r = 13

Hence, the length of the hypotenuse is 13 units

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Answer:

-2 - 8 = -10

Step-by-step explanation:

-2 -8= -10

When adding negatives you add as usual and keep the sign.

Answer:

Step-by-step explanation:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Answer:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Step-by-step explanation:

Hope this helps darlin

Answer:

C. external failure costs.

Answer:the brow

Step-by-step explanation: you can just make the brown rice weigh as much as the white, 32 or 16.(16x2 is 32 and 32/2 is 16). 79 plus 79 is 1.68. Making the 32 oz of brown 1.68. Showing that the brown is cheaper.

Answer:

A 16 oz. package of brown rice for 79 cents is better deal.

Step-by-step explanation:

79 cents/16 oz≈4.94 cents / oz - 1st package

349 cents/32 oz≈10.91 cents/oz - 2 nd package

For the second package price per oz is more. So 1st package is better deal.

Answer:

[tex]x = 4.45 \\ y=6[/tex]

Step-by-step explanation:

For part a, we'll be needing to find the vertex.

Convert [tex]y=-x^2+4x+2[/tex] into vertex form by factoring and completing the square.

We'll get...

[tex]y=-(x-2)^2+6[/tex]

So the vertex is [tex](2,6)[/tex]

And therefore, the maximum height will be 6.

Now we can find the zeros to find how far it'll be.

Use the quadratic formula.

[tex]x=\frac{-b±\sqrt{b^2-4ac}}{2a}[/tex]

[tex]a=-1 \\ b=4 \\ c = 2[/tex]

Plug them in.

[tex]x=\frac{-4±\sqrt{(4^2)-4(-1)(2)} }{2(-1)}[/tex]

[tex]x=\frac{-4±\sqrt{16--8}}{-2} \\ \\ x=\frac{-4±\sqrt{24}}{-2} \\ \\ x = 4.45, -0.45[/tex]

Since the x value has to be positive, x ≈ 4.45, so the water will be about 4.45 out when the water reaches pond level.

Your answer will be 3x+21

Answer:

3x+21

Step-by-step explanation:

using the distributive property, you multiply 3 times x and 7 times 3, then add them together

Answer:

11 hours.

Step-by-step explanation:

One worker worked 6 hours, the other worked 5. 5+6 = 11

Answer:

Dependent Pair of Events: A

Independent pairs of events: B,C,D,E

Step-by-step explanation:

Lets look at each pair one by one..

A. the selling price of a product and its manufacturing cost

We can clearly see that the selling price of a product is always determined on the basis of it's manufacturing cost.

So A is a pair of dependent events.

B. your pulse rate and your friend’s pulse rate

The pulse of rate of one person has nothing to do with the pulse rate of another person.

So B is a pair of independent events.

C. the price of a cell phone and the price of a TV

The price of cell phone and Tv are not related to each other at any level..

So C is a pair of independent events.

D. your calorie intake and your friend’s calorie intake

One person's calorie intake is not related or dependent on any other person's calorie intake.

So D is a pair of independent events.

E. the distance of your home from school and your friend’s home from school

The distances of one person's home from school doesn't affect the distance of another person's home from school.

So E is a pair of independent events..

Answer:

 a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints

Step-by-step explanation:

Answer:

a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints

Each drink costs $2.

Answer:

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rs[/tex]

r - radius

s - slant height

We have r = 5m and s = 12m. Substitute:

[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]

The formula of a surface area of a cone:

[tex]S.A.=\pi r(r+s)[/tex]

Substitute:

[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]

R = 3 - 2(-4.8) + 3.2^2

R = 3 + 9.6 + 10.24

R = 22.84

Answer:

r=16.84

Step-by-step explanation:

As we know that [tex]p=-4.8[/tex] and [tex]q=3.2[/tex] we can substitute these values in to the equation in order to find the value of r

[tex]r=-3-2p+q^2\\\\r=-3-2(-4.8)+(3.2)^2\\\\r=-3+9.6+10.24\\\\r=16.84[/tex]

√65 = x; using the Pythagorean Theorem, 25 [hypotenuse₁] - 9 [short leg₁] = 16 [long leg₁]. Take the square root of 16 to get 4 [reflexive line where the two triangles meet]. Then, you deal with the larger triangle. You have 16 [short leg₂] + 49 [long leg₂] = 65 [hypotenuse₂]. Finally, take the square root of 65, so long it stays √65. There is no perfect square to find that will simplify that 65 inside that radical.

Answer:

Step-by-step explanation:

Use the Pythagorean theorem for both triangles.

Let y be the common side of the triangles. Therefore:

y² + 3² = 5²

y² + 9 = 25           subtract 9 from both sides

y² = 16

x² = 7² + y²

x² = 49 + 16

x² = 65 ⇒ x = √65

Answer:

The price of baseball card collection last year is $120.

Step-by-step explanation:

In this question we are given the value of Jamie's baseball card collection rose 60% in the last year. It is now worth $192. We need to find the price of baseball card collection last year.

Let x = the price of baseball card collection last year

the value of baseball card collection rose = 0.6x (60% = 60/100 = 0.6)

Current worth = $192

So, we can write

x + 0.6 x = 192

1.6 x = 192

x = 192/1.6

x = 120

So, the price of baseball card collection last year is x = $120

Final answer:

The correct sets of values for the fourth, fifth, and sixth visits' exercise intensity, according to the described F.I.T.T. pattern of increase after consistent intensity, would be options B (66%, 69%, 72%) and E (63%, 65%, 67%).

Explanation:

The student's question regarding the recommended exercise intensity for the aerobic program is a matter related to health and physical education. Specifically, it involves understanding how to apply the F.I.T.T. principle to plan an aerobic workout regimen. The program described outlines a pattern of consistent intensity, followed by a gradual increase and then a decrease in intensity. When looking for the set of values that could represent the intensity of exercises during the fourth, fifth, and sixth visits, we should look for a pattern that indicates an increase in intensity from the prior three consistent visits.

Given the following options, the correct pattern would be one that shows an increase over three visits:

B. 66%, 69%, 72% - This shows a consistent increase in intensity.

E. 63%, 65%, 67% - This also shows a consistent increase in intensity.

Options A, C, D, and F do not fit the pattern of increasing and then decreasing as described in the student's question. Therefore, the correct set of values for the intensity of exercises on the fourth, fifth, and sixth visits are B and E.

Answer: A

Step-by-step explanation: It is a PT tripple 3,4,5

Also if you take the legs of the right triangle and square and add they get 5

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x + 6 ≥ -34        subtract 6 from both sides

5x + 6 - 6 ≥ -34 - 6

5x ≥ -40            divide both sides by 5

x ≥ -8

and

-2x - 2 > -10          add 2 to both sides

-2x - 2 + 2 > - 10 + 2

-2x > -8          change the signs

2x < 8        divide both sides by 2

x < 4

We have x ≥ -8 and x < 4 ⇒ -8 ≤ x < 4

Answer:

The volume of the water subtracted from the tanks is 2 × 10² m³ to

make the submarine float nor sink in the ocean ⇒ answer B

Step-by-step explanation:

* Lets talk about the relation between the mass , the volume

 and the density

- Mass = Volume × Density

- The unit of the mass is kilogram

- The unit of the volume is cubic meter

- The unit of the density is Kilogram per cubic meter

* Lets find the volume to make the submarine float neutrally

∵ Mass = volume × density

∴ Volume = Mass ÷ density

∵ The mass = 8 × 10^6 kg

∵ The density of the seawater = 10³ kg/m³

∴ The volume = 8 × 10^6 ÷ 10³ = 8 × 10^(6 - 3) ⇒ (to divide numbers

   with exponents and have same base, subtract the powers)

∴ The volume = 8 × 10³ m³

- The volume of the submarine never changes

∴ The submarine need to subtract:

  8 × 10³ - 7.8 × 10³ = 10³ (8 - 7.8) = 0.2 × 10³ = 2 × 10² m³ from its tanks

* The volume of the water subtracted from the tanks is 2 × 10² m³ to

   make the submarine float nor sink in the ocean

Final answer:

To achieve neutral buoyancy, a submarine with a volume of 7.8 x 10³ m³ must expel a volume of water that reduces its mass to that of the water displaced. This amounts to expelling 2 x 10² m³ of water from its ballast tanks.

Explanation:

To make the submarine float neutrally in the seawater, we need to find out how much water the submarine must expel so that its mass equals the mass of the water it displaces. Using Archimedes' principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This is dependent on the volume and density of the fluid.

Since the volume of the submarine is given as 7.8 x 10³ m³ and doesn't change, and the density of the seawater is 10³kg/m³, the mass of the water displaced by the submarine when it is neutrally buoyant must equal the mass of the submarine.

The mass of the water displaced would then be 7.8 x 10³ m³ × 10³ kg/m³ = 7.8 x 10⁶ kg. To achieve neutral buoyancy, the submarine must expel enough water to match this mass. Since we know the total mass of the submarine when fully loaded with water is 8 x 10⁶kg, the volume of water that must be expelled is the difference between the two masses divided by the density of the seawater:

   (8 x 10⁶ kg - 7.8 x 10⁶ kg) / (10³ kg/m³) = 0.2 x 10³ m³ or 2 x 10² m³.

Therefore, the correct answer is B. 2 x 10² m³.

Answer:

(5t^2 + 54t)/ 10t^2

Step-by-step explanation:

since the denominator is the same, you would just add the numerators.

Answer:

$1800

Step-by-step explanation:

If we pay $25 monthly, then at the beginning of the seventh month you should have paid:

$25*6 = $150

At the beginning of the seventh month we will have:

$1950 - $150 = $1800.

No interested is charged during the introductory period, so at the beginning of the seventh month the balance will be $1800.

Answer:

it is $2,045.91

Step-by-step explanation:

False, the mass of an object never changes. The weight of an object may vary due to the location but the mass never changes. The mass is said to be changes only when an object travels very fast ( like close to speed of light).But not in the above mentioned cases.

Answer:

False

Step-by-step explanation:

Mass is defined as the amount of matter within an object which will never change. This question is trying to trick you since most people use the words mass and weight interchangeably which is not true. Weight is the amount of gravitational force acting upon you which does change with altitude but mass does not.

Answer: 147

V= lwh/3 = 7*9*7/3 = 147

let me know if im wrong.

Solution

[tex]\sqrt{x-2}-4=x-6\\\\\sqrt{x-2}=x-6+4\\\\\sqrt{x-2}=x-2\\\\ \text{Squaring both sides}\\\\x-2=x^2-4x+4\\\\x^2-4x-x+4+2=0\\\\x^2-5 x+6=0\\\\ \text{Splitting the middle term}\\\\x^2-3x-2x+6=0\\\\x(x-3)-2(x-3)=0\\\\(x-2)(x-3)=0\\\\x=2,3[/tex]

Put, x=2 and x=3 in original equation

⇒For, x=2

LHS

 [tex]\sqrt{2-2}-4\\\\=-4[/tex]

RHS

4-6

= -2

LHS=RHS

Hence, x=2 , is solution of the system.

⇒For , x=3

.LHS=

[tex]\sqrt{3-2}-4\\\\=1-4\\\\=-3[/tex]

RHS

3-6=-3

Hence, x=3 , is solution of the system.

Option C

x=3, is true solution.

Option E:

The zeros of 0 = x2 – 5x + 6 are possible solutions to the radical equation.

Answer:

C, E

Step-by-step explanation:

got it right on edge

36, |-12| is 12 and |-3| is 3. Using inverse operations, we multiply and get 36. P=36

Answer:

36

Step-by-step explanation:

36 Because all you do is -12*-3