Classify the following triangle as acute, obtuse, or right.
A. Obtuse
B. Acute
C. Right
D. None of these

Answer:

Blue wins

Step-by-step explanation:

Blue runner   4280 ft / 10 ft/sec = 428 sec to finish

Red                5280 / 12 =    440 sec     Blue will win

we know that the multiplication comes first in the family then we start from left to right

4 x 5= 20

9-20 = -11

-11 + 6 = -5

there you go!

[tex]9 - 4 \times 5 + 6[/tex]

[tex]9 - 20 + 6[/tex]

[tex] - 11 + 6[/tex]

[tex] - 5[/tex]

Answer:

  (b)  cos(3π/10)

Step-by-step explanation:

The given expression matches the trig identity form for the cosine of the difference of two angles:

  cos(α-β) = cos(α)cos(β) +sin(α)sin(β)

__

To match the given expression exactly, we can choose ...

  α = π/2

  β = π/5

Then the difference is ...

  α -β = π/2 -π/5 = (5/10)π -(2/10)π = 3π/10

The given expression can be shortened to ...

  cos(3π/10)

__

Additional comment

Sometimes it can be difficult to remember when the signs in trig identities match, and when they differ. The fact that cosines of smaller angles have larger values can be a peg on which to hang that hat.

Answer:

31.63495408

Step-by-step explanation:

Find area of trinagles and semicurucles and then add up

Answer:

Step-by-step explanation:

The figure comprises of two semicircles and a triangle.

The two semicircles add to one full circle with the diameter of 5 ft.

Area of circle

Area of triangle

Total area

Answer:

0.9952076759

Step-by-step explanation:

Probability that all three survive

= 0.9984 × 0.9984 × 0.9984

= 0.9952076759

Step-by-step explanation:

28.4 g there are 110 calories

1 g there are 110/28.4 = 3.87 calories

39.76 g there are 3.87 × 39.76 = 153.87

Answer:

42.5

Step-by-step explanation:

(180-95)÷2=42.5

Answer:

108 inches

Step-by-step explaination:
Looking at the picture I drew, we can assume that 24 = 4x
and so x=6 and 3x=18.
6 times 18 is 108.

Answer:

heya! ^^

[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]

hope helpful :D

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill &75\\ P=\textit{initial amount}\dotfill &2400\\ t=seconds\\ h=\textit{half-life}\dotfill &13.8 \end{cases} \\\\\\ 75=2400\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{75}{2400}=\left( \frac{1}{2} \right)^{\frac{t}{13.8}}\implies \cfrac{1}{32}=\left( \frac{1}{2} \right)^{\frac{1}{13.8} t}[/tex]

[tex]\log\left( \cfrac{1}{32} \right)=\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8} t} \right]\implies \log\left( \cfrac{1}{32} \right)=t\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right] \\\\\\ \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{13.8}} \right]}=t\implies \cfrac{\log\left( \frac{1}{32} \right)}{\log\left[ \sqrt[13.8]{\frac{1}{2}} \ \right]}=t\implies 69\approx t[/tex]

Answer:

Option D

Step-by-step explanation:

[tex]6\dfrac{3}{5}*\dfrac{5}{8}=\dfrac{5}{8}*6\dfrac{3}{5}[/tex]

Poperty : Commutative property of multiplication.

When two numberes are multiplied, changing the order of numbers  will not change the result.

Answer:

22 inches

Step-by-step explanation:

Given:

Circumference of circle = πd , where d is the diameter of a circle.

= 22/7  * 7 inches

Circumference = 22 inches

Answer:

64

Step-by-step explanation:

16 ounces per pound

16 x 4

Answer:

Purchase price = $412.94 (nearest cent)

Total price = $430.49 (nearest cent)

Step-by-step explanation:

Purchase price

If 4.25% = $17.55

⇒ 100% = (17.55 ÷ 4.25) × 100 = 412.9411765...

⇒ Purchase price = $412.94 (nearest cent)

Total price

total price = purchase price + sales tax

                 = $412.94 + $17.55

                 = $430.49

So let the original price be x

Total price:-

Answer:

To find the area, we need to find the side length AB (and DC).

The easiest way to approach this is to draw a sketch with all the given information (see attached).

As point O is the center point of the rectangle, we can draw a horizontal line from point O to the center point of BC (point M on the diagram) and create a right triangle.  We can then use the Sine rule to find the shortest leg of the triangle (marked as x on the diagram).  This will be half of the side length AB, and so to find the side length, simply multiply it by 2.

To find the missing angles of the right triangle:

m∠COM = (180° - 30°) ÷ 2 = 75°

m∠OCM = 180° - 90° - m∠COM = 90° - 75° = 15°

Sine rule

[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\implies \dfrac{x}{\sin(15)}=\dfrac{6}{\sin(75)}[/tex]

[tex]\implies x=\sin(15)\cdot \dfrac{6}{\sin(75)}[/tex]

[tex]\implies x=12-6\sqrt{3}[/tex]

As AB = [tex]2x[/tex]

[tex]\begin{aligned} \implies AB & =2x\\ & =2(12-6\sqrt{3})\\ & =24-12\sqrt{3}\end{aligned}[/tex]

Now we have both side lengths of the rectangle, we can easily calculate the area.

Area of a rectangle = width × length

                                = (24 - 12√3) × 12  

                                = 288 - 144√3

                                = 38.5846837...

                                = 38.585 units² (nearest thousandth)

Answer: a) 10x-6x and c) 12x+2x-10x

Step-by-step explanation:

Lets start by simplifying all the expressions

a) 10x-6x=4x

b)7x+3x=10x

c)12x+2x-10x=14x-10x=4x

d)x-x+2x=2x

As you can see a and c both simplify to 4x meaning that is our answer.

Options A and C

Hope it helps.

Do comment if you have any query.

Answer:

{2, 4, 6, 8}

Step-by-step explanation:

The domain refers to all the possible x values of a function.

Our ordered pairs :

As they are in the form (x, y), the domain is :

⇒ {2, 4, 6, 8}

Answer:

Step-by-step explanation:

The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.

Then the two angles at the tangent and secant are ...

  60°/2 = 30° . . . . . . . the one marked in the attache drawing

  300°/2 = 150°

side length 2 km and slant height 2 km.

the surface area of the pyramid.

area of 4 triangle= 1/2 × 2 × 2 × 4

= 8km

area of rectangle= 2×2

= 4km

area= 4+8

= 12km

so, the surface area of the pyramid is 12km.

Answer:

D is the correct answer. This charged appeared on a bill

Answer:10 bucks

Step-by-step explanation:

have a good day

Answer:

who is William afton family?

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

Explanation:

Along the top row, label the two triangles A and B.

In the bottom row, label the figures as C, D, E. We have C and E as the two surrounding triangles and D as the rectangle.

To find the area of triangle A, we need to find the horizontal side first. Use the pythagorean theorem to get 3 inches across the horizontal portion. We have a 3-4-5 right triangle. The area of triangle A is base*height/2 = 3*4/2 = 6 square inches. Triangle B is a reflected copy of triangle A, so it has the same area.

Triangle C has an area of base*height/2 = 1*5/2 = 2.5 square inches, so does triangle E because it is a mirrored congruent copy.

The rectangle D has an area of base*height = 4*5 = 20 square inches.

-----------------------

We have these areas:

To wrap things up, add up those areas

A+B+C+D+E = 6+6+2.5+20+2.5 = 37 square inches

x1 = 9, x2 = 3

y1 = -1, y2 = 3

[tex] \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} } \\ \\ \sqrt{ {(3 - 9)^{2} + (3 - ( - 1))}^{2} } \\ \\ \sqrt{ {( - 6)}^{2} + {(4)}^{2} } \\ \\ \sqrt{ 36 + 16 } \\ \\ \sqrt{52} \\ \\ 7.21 \: units[/tex]

Answer:

[tex]5q^8y^{16}\sqrt{5qy}[/tex]

Step-by-step explanation:

[tex]\sqrt{125q^{17}y^{33}} =\sqrt{5*5^2*q*q^{16}*y*y^{32}}=5q^8y^{16}\sqrt{5qy}[/tex]

Applying the formula for areas of rectangle, triangle, & circle, area of each figure is:

1. 27

2. 537.9

3. 384

4. 168.5

5. 96.3

6. 73.1

7. 357.1

8. 1,029

9. 744

Area of a circle = πr², where r is its radius.

Area of a rectangle = length × width

Where b is the height and b is the base length, area of triangle = 1/2bh.

Area = s², where s is the side length.

1. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 3² + 6 × 3 = 27 ft²

2. Area of the figure = area of circle + area of rectangle = πr² + length × width

Area of the figure = π(7²) + 24 × 16 = 537.9 ft²

3. Area of the figure = area of smaller rectangle + area of bigger rectangle

Area = 12 × 12 + 20 × 12 = 384 yd²

4. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(8²) + 1/2(8)(17) = 168.5 cm²

5. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (10)(7.5) + 1/2(7.5)(5) = 96.3 m²

6. Area of the figure = area of 1/2circle + area of triangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(4²) + 1/2(8)(12) = 73.1 cm²

7. Area of the figure = area of 1/2circle + area of rectangle = 1/2πr² + 1/2bh

Area of the figure = 1/2π(10²) + (20)(10) = 357.1 in.²

8. Area of the figure = area of rectangle + area of triangle = (l)(b) + 1/2bh

Area of the figure = (35)(21) + 1/2(28)(21) = 1,029 m²

9. Area of the figure = area of square + area of rectangle = s² + length × width

Area of the figure = 18² + 21 × 20 = 744 in.²

Learn more about the area of rectangle, triangle and circle on:

https://brainly.com/question/14487364

Answer:

D

I really wish is right!!!

Answer:

The zeros are the points where the parabola intercepts the x-axis.

[tex]\sf x = 7 \implies x - 7 = 0[/tex]

[tex]\sf x = 1 \implies x - 1 = 0[/tex]

[tex]\sf \implies y = a(x - 7)(x - 1)[/tex]  where a is some constant

If the parabola passes through point (3, 4) then:

[tex]\sf \implies a(3 - 7)(3 - 1) = 4[/tex]

[tex]\sf \implies a(-4)(2) = 4[/tex]

[tex]\sf \implies -8a = 4[/tex]

[tex]\sf \implies a = -\dfrac12[/tex]

So the equation of the parabola is:

[tex]\sf y = -\dfrac12(x - 7)(x - 1)[/tex]

Or in standard form:

[tex]\sf y = -\dfrac12x^2+4x-\dfrac72[/tex]

Spot the quadratic equation:-

Find a through (3,4)

Equation:-

Answer:

O It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

Answer:

It costs $0.20 per minute to rent the kayak

Step-by-step explanation:

The equation is a linear equation in the form  y = mx + b

Given equation:  c = 0.20t + 3.50  

Therefore,

Therefore, the meaning of the slope is:

It costs $0.20 per minute to rent the kayak