What is the total length of 15 rods?

Answer:

x = 21.46

Step-by-step explanation:

[tex]cos 56 = \frac{adjacent}{hypotenuse} = \frac{12}{x}\\\\x = \frac{12}{cos 56} = 21.46[/tex]

Answer:

Step-by-step explanation:

take 56 degree as reference angle

using cos rule

cos 56=adjacent/hypotenuse

0.55=12/x

x=12/0.55

x=21.81

x=21.8

Answer:

38.7°

Step-by-step explanation:

∆ = Tan-1(opposite/ Adjacent)

=Tan-1(8/10)

= 38.66°

= 38.7° to n nearest tenth

 .........................

Answer:

I believe the answer will be 6. Here's why.:

Step-by-step explanation:

The total volume of the rectangle is  24 inches. 4in x 6in= 24 in. Then there is a half semi-circle. So 24/2=12. The circle is called a circumference and since there is a half, that is called a diameter. I am not sure if my reasoing is correct, but I gave it try.

Answer:

50

Step-by-step explanation:

Substitute.

Answer:

320

Step-by-step explanation:

(6 x 3)² - 2(12) ÷ 6

324 - 24 ÷ 6

324 - 4

= 320

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{\cos y}{1-\sin y}=\frac{1+\sin y}{\cos y}[/tex]

On the left, we can multiply both layers by (1 + sin(y)):

[tex]\displaystyle \frac{\cos y}{1-\sin y}\left(\frac{1+\sin y}{1+\sin y}\right)=\frac{1+\sin y}{\cos y}[/tex]

Multiply:

[tex]\displaystyle \frac{\cos y(1+\sin y)}{1-\sin^2 y}=\frac{1+\sin y}{\cos y}[/tex]

From the Pythagorean Theorem, we know that sin²(y) + cos²(y) = 1. Hence, 1 - sin²(y) = cos²(y). Substitute:

[tex]\displaystyle \frac{\cos y(1+\sin y))}{\cos^2 y}=\frac{1+\sin y}{\cos y}[/tex]

Cancel:

[tex]\displaystyle \frac{1+\sin y}{\cos y}=\frac{1+\sin y}{\cos y}[/tex]

Hence proven.

Answer:

Step-by-step explanation:

2x²-3=47

2x²=47+3

x²=50/2=25

x=±√25=±5

Answer:

x = ±5

Step-by-step explanation:

2x^2 - 3 = 47

Add 3 to each side

2x^2 - 3+3 = 47+3

2x^2 = 50

Divide each side by 2

2x^2 = 50/2

x^2 = 25

Take the square root of each side

sqrt(x^2) = sqrt(25)

x = ±5

Answer:

52 degrees

Step-by-step explanation:

Answer:

52 degrees sorry if that's wrong

Answer:

The mark up is $2.20 and the new price of each T-shirt is $6.20.

Step-by-step explanation:

Before we find the new price of each T-shirt we must find the markup (by how much were raising the price).

The problem states each T-shirt costs $4.00, but then marks up the price of each by 55%.

Step 1 would be to find 55% of $4.00.

0.55 * 4 = 2.2

So that is the mark up, the price is going up by $2.20. To find the new price of each T-shirt, you take that $2.20 and add it to the original $4.00.

$4.00 + $2.20 = $6.20

So the mark up is $2.20 and the new price of each T-shirt is $6.20.

[tex] \frac{231}{4} [/tex] ✅

Step-by-step explanation:

[tex] \frac{33}{4} \times \frac{21}{3} \\ = \frac{11 \times 21}{4} \\ = \frac{231}{4} [/tex]

Note:-

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

18 units

Step-by-step explanation:

The base is 7-4 = 3 units

The height is 8 - 2 = 6 units

P = 2(b+h)

P = 2( 3+6)

P = 2(9)

P = 18

Answer:

84

Step-by-step explanation:

only three number are a multiple of 14

14 * 5 = 70

14 * 6 = 84

14 * 7 = 98

neither 70 nor 98 is a multiple of 4

only 84 is a multiple of 4, 7 and 14

Answer:

I think it´s 2.

Step-by-step explanation:

7(2) = 14

14+5=19

Pretty simple math for me, not sure about you though.

Answer:

x=2

Step-by-step explanation:

since the two angles are equivalent to each other, we also know that the legs of triangle are equal... so we set the legs equal to each other and solve for x...

7x+5=19

subtract five from both sides

7x=14

divide 7 from both sides

x=2

Answer:

C

Step-by-step explanation:

Multiply the top and bottom, both by sqrtx-sqrt5. This is in order to rationalize the denominators.

You get answer C.

Answer:

The polynomial is positive.

Answer:

18 scoops is the correct answer

Step-by-step explanation:

3/4 can also be written as 6/8 (multiply both 3 and 4 by 2)

and 1 1/2 is actually 3/2 which can be written as 12/8 (multiply both 3 and 2 by 4)

thus total lentils required is 6/8 + 12/8 = 18/8 cups.

with scoop size 1/8 cup you'll need 18 scoops .

Answer:

18 1/8 scoops

Step-by-step explanation:

Soup:

6 scoops from a 1/8 cup can make a 3/4 cup

Salad:

4 scoops from a 1/8 cup can make a 1/2 cup

If 1/8 means one portion is divided into eight portions, then 8 scoops from a 1/8 cup can make 1 cup.

Answer:

X

Step-by-step explanation:

2x-x=x

5-5=0

Answer:

[tex]2x + (-x) + 5 + (-5) = x[/tex]

Step-by-step explanation :

Remove Parenthesis :

[tex]2x - x + 5 - 5[/tex]

Add similar elements :

[tex]x + 5 - 5[/tex]

Add them up :

[tex]5 - 5 - 0 = x[/tex]

Answer:

Step-by-step explanation:

The standard form of an exponential function is

[tex]y=a(b)^x[/tex] where y is the value of the car after x years have gone by, a is the initial value of the car and b is the rate of depreciation. For us, that looks like this:

[tex]y=64000(.18)^{4.5[/tex] where 64000 is the initial value of the car, .18 is the depreciation rate, and 4.5 is 54 months in years. Doing the math on that gives us that the value of the car will be $51,840 4.5 years after it's purchased new.

Answer:

Step-by-step explanation:

If AB is tangent to the circle, the AB makes a right angle with the radius BC. That means that triangle ABC is a right triangle and we need Pythagorean's Theorem to find the missing side which is the hypotenuse.

[tex]AC^2=AB^2+BC^2[/tex] and filling in:

[tex]AC^2=14^2+9^2[/tex] and

[tex]AC^2=196+81[/tex] and

[tex]AC^2=277[/tex] so

[tex]AC=\sqrt{277}[/tex] ≈ 16.64

AC = 16.64

"It states that a line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency."

From given diagram,

tangent AB = 14 units

radius BC = 9 units

Using tangent theorem,

AB is perpendicular to BC.

This means ΔABC is right triangle with ∠B = 90°

Using Pythagoras theorem,

[tex]AC^2=AB^2+BC^2[/tex]

⇒ [tex]AC^2=14^{2}+9^{2}[/tex]

⇒ [tex]AC^2=196+81[/tex]

⇒ [tex]AC^2=277[/tex]

⇒ [tex]AC=\sqrt{277}[/tex]

⇒ [tex]AC=16.64[/tex]

Therefore, AC = 16.64

Learn more about tangent to the circle here:

https://brainly.com/question/15279341

#SPJ2

Answer:

7/2

Step-by-step explanation:

12 1/4 is equivalent to the improper fraction 49/4.

The square root of 49/4 is 7/2.

The squareroot of [tex]12 \frac14[/tex] is [tex]3 \frac{1}{2} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \sqrt{12 \frac{1}{4} } \\ \\ = \sqrt{ \frac{49}{4} } \\ \\ = \sqrt{ \frac{7 \times 7}{2 \times 2} } \\ \\ = \sqrt{ \frac{( {7})^{2} }{( {2})^{2} } } \\ \\= \frac{7}{2} \\ \\ = 3 \frac{1}{2} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer: D) Reflect over x-axis

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

Explanation:

When we do this type of reflection, a point like (1,2) moves to (1,-2).

As another example, something like (5,-7) moves to (5,7)

The x coordinate stays the same but the y coordinate flips in sign from positive to negative, or vice versa.

We can say that [tex](x,y) \to (x,-y)[/tex] as a general way to represent the transformation. Note how y = f(x), so when we make f(x) negative, then we're really making y negative.

If we apply this transformation to every point on f(x), then it will flip the f(x) curve over the horizontal x axis.

There's an example below in the graph. The point A(2,8) moves to B(2,-8) after applying that reflection rule.

Answer:

one measurement

Step-by-step explanation:

hope it's helpful for you ☺️

Answer:

x = ⁷/₅

y = ⁻²⁹/₅

Step-by-step explanation:

4x = 3y + 23 (×3)

12x = 9y + 69

4y + 3x = -19

3x = -4y - 19 (×4)

12x = -16y - 76

∴ 9y + 69 = -16y - 76

25y = -145

y = ⁻²⁹/₅

12x = 9(⁻²⁹/₅) + 69

12x = 69 - ²⁶¹/₅

12x = ⁸⁴/₅

x = ⁷/₅

Answer:

250

Step-by-step explanation:

-150 + 400 = 250

Final Score= -150 + 400

= 250 --- (Answer)

Answer:

C) [tex]\sqrt{106}[/tex] units

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths of a right triangle and [tex]c[/tex] is the hypotenuse, the longest side of the right triangle.

The distance formula is similar to that of the Pythagorean Theorem which is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points that you wish to find the distance between them in an (x,y) coordinate plane.

Here, we are given that [tex](x_1,y_1)[/tex] is [tex]P(-4,-6)[/tex] and [tex](x_2,y_2)[/tex] is [tex]Q(1,3)[/tex]. So, we can use the distance formula as described previously to find the positive distance between the two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(1-(-4))^2+(3-(-6))^2}[/tex]

[tex]d=\sqrt{(1+4)^2+(3+6)^2}[/tex]

[tex]d=\sqrt{(5)^2+(9)^2}[/tex]

[tex]d=\sqrt{25+81}[/tex]

[tex]d=\sqrt{106}[/tex]

[tex]d \approx 10.295630141[/tex]

Since all of the given answer choices are in radical form, then C is the correct answer. The distance between the two points is [tex]\sqrt{106}[/tex] units.

Answer:

the number can be either 8 or 3.

Step-by-step explanation:

Let's define N as the "number"

We know that when the square of this number is increased by 24:

N^2 + 24

we got eleven times the original number, then:

N^2 + 24 = 11*N

We just need to solve this for N

To do it, we first move all the terms to one side of the equation:

N^2 - 11*N + 24 = 0

Now we can use the Bhaskara's formula for the zeros of a quadratic equation:

for a general quadratic equation:

a*x^2 + b*x + c = 0

the roots or zeros are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

We get then:

[tex]N = \frac{-(-11) \pm \sqrt{(-11)^2 - 4*1*24} }{2*1} = \frac{11 \pm 5}{2}[/tex]

So we have two solutions:

N = (11 + 5)/2 = 16/2 = 8

N = (11 - 5)/2 = 6/2 = 3

So the number can be either 8 or 3.

Answer:

1/2             9/8

17/12          23/30

81/70         2/3

Step-by-step explanation:

I ordered it the way it appears in the image.

Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

[tex]\color{yellow}{}[/tex]

Answer:

The answer would be $46,619

Step-by-step explanation:

Someone already explained it pretty well, goodluck! :)