Which equation can be used to solve for the measure of angle abc? tan(x) = startfraction 2.4 over 10 endfraction tan(x) = startfraction 10 over 2.4 endfraction sin(x) = startfraction 10 over 10.3 endfraction sin(x) = startfraction 10.3 over 10 endfraction

Answer:

1) 3 weeks

2) $60

3) 6 weeks

4) $50

5) No, because they are already saving at the same rate, so if they continue to do so, their amounts will never meet. This is also because the lines in the graph are parallel, and parallel lines never meet.

Answer:

that it is formed by numbers and steps followed are BODMAS

Answer:

60m2

Step-by-step explanation:

Answer:

  (d)  68 m²

Step-by-step explanation:

The figure can be decomposed into two congruent trapezoids, each with bases of 12 m and 5 m, and height 4 m. The formula for the area of a trapezoid can be used.

__

  A = 1/2(b1 +b2)h . . . . . area of one trapezoid with bases b2, b2; height h

  A = 1/2(12 m +5 m)(4 m) = 34 m²

The area of the hexagon is double this:

  hexagon area = 2 × 34 m² = 68 m².

[tex]~~~~~(x+5)^2 = 16\\\\\implies x+5 = \pm\sqrt{16}\\\\\implies x+5 = \pm 4\\\\\implies x =-5 \pm 4\\ \\\implies x = -9~~ \text{or}~~~x=-1[/tex]

Answer:

192

Step-by-step explanation:

because if you multiply 2 by 96 then you get your answer

Hey there!

-7x + 21 > -14

SUBTRACT 21 to BOTH SIDES

-7x + 21 - 21 > -14 - 21

SIMPLIFY IT!

NEW EQUATION: -7x > -35

DIVIDE -7 to BOTH SIDES

-7x/-7 > -35/-7

SIMPLIFY IT!

x < 5

Therefore, your answer is: x < 5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, subtract by 21 from both sides.

-7x+21-21>-14-21

Solve.

Add or subtract the numbers from left to right.

-14-21=-35

Rewrite the problem down.

-7x>-35

Then, multiply by -1 from both sides.

[tex]\sf{\left(-7x\right)\left(-1\right) < \left(-35\right)\left(-1\right)}[/tex]

Solve.

7x<35

Divide by 7 from both sides.

7x/7<35/7

Solve.

Divide the numbers from left to right.

35/7=5

x<5

I hope this helps! Let me know if you have any questions.

Answer:

4

Step-by-step explanation:

4 (4) + 2 = 18

16 + 2 = 18

18 = 18

Answer:

Step-by-step explanation:

1:

Solve 4(1) + 2 = 18:

1 is false.

2:

Solve 4(2) + 2 = 18

2 is false.

3:

Solve 4(3) + 2 = 18

3 is false.

4:

Solve 4(4) + 2 = 18

4 is true.

Correct answer is 4.

Answer:

3060 [tex]cm^{2}[/tex]

Step-by-step explanation:

Find the cross-sectional area first of the trapezium

[tex]\frac{1}{2} (a+b)h[/tex]

So,  [tex]\frac{1}{2}(6+34)15[/tex]

which is 40 / 2 x 15 = 20 x 15 = 300 [tex]cm^{2}[/tex]

Since there are 2 trapeziums (on the front and back): 300 x 2 = 600[tex]cm^{2}[/tex]

Find the Area of the Rectangles

The first rectangle on the top would be: 6x30 = 180 [tex]cm^{2}[/tex]

The slanted rectangle on the right would be: 25x30 = 750 [tex]cm^{2}[/tex]

The rectangle on the bottom would be: 30x34 = 1020 [tex]cm^{2}[/tex]

The hidden rectangle on the left would be: 17 x 30 = 510 [tex]cm^{2}[/tex]

So by combining all these calculations, you will get the total surface area which is:

600 + 180 + 750 + 1020 + 510 = 780 + 1770 + 510 = 2550 + 510 = 3060 [tex]cm^{2}[/tex]

Answer:

option D is is that correct answer

Answer:

well if it's 8 on bottom that means it has to be 8 on top and the right side add these together and you have perimeter

The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

Read more about bearings at; https://brainly.com/question/17612866

#SPJ4

Answer:

Step-by-step explanation:7.7 miles

Answer:

B. 0.000096 (4 zeroes after the decimal point because 10^4)

Step-by-step explanation:

0.96 / 10^4 = 0.000096

when dividing, the decimal moved left and you must add zeroes!

Answer:

3

Step-by-step explanation:

they give you all the possible outcomes, all they are asking for is how many of those outcomes have only one head in it

Answer:

3; HTT, THT, TTH

H means heads, T means tails, therefore there are 3 pairs with 1 letter H.

Answer:

yes

Step-by-step explanation:

Could not simplify further

Answer:

No, it's not a perfect square.

Step-by-step explanation:

First of all a perfact square should never end with 2, 3, 7 or 8, if it does than its not a perfect square.

103 ends with "3", so therefore, it's not a perfect square.

Answer:

Rectangle (Brainliest please)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

l,w,h  are all = 4 in

sa = 4x4 * 6 = 96 in^2

Answer: 4

Step-by-step explanation: It's the Pythagorean theorem. a^2+b^2=c^2. You want to set up the equation as a+2^2=5^2, you would subtract 4 from 25 and get 16, square root 16 and you get 4.

Answer:

48, 55, 73

Step-by-step explanation:

A Pythagorean triple are integers that can be entered in the Pythagorean theorem and be true

A common example is 3, 4, 5 because

[tex]3^{2} +4^{2} =5^{2}[/tex]

So here, you want to plug in the 8 for the x in the equation and 3 for the y

Then, what you are looking for is when the equation looks like

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

So:

[tex](8^{2}+3^{2})^{2} = (8^{2} - 3^{2})^{2} + (2(8)(3))^{2}[/tex]

Simplify:

[tex]73^{2} = 55^{2} + 48^{2}[/tex]

We can see that the numbers in here follow the pythagorean theorem, where c = 73, b = 55, and a = 48

So the triple is 48, 55, and 73

Answer:

48,55,73

Step-by-step explanation:

Answer:

- 25

Step-by-step explanation:

A= 0(4-0)+7(0-3)+4(3-4) = -25

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

Answer:

A.11

Step-by-step explanation:

5×5+6-4*（2+3）=25+6-4*5=11

Answer:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Step-by-step explanation:

Replace the questions marks with letters:

[tex]\dfrac{12x^{a}-18x^8+bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

[tex]\textsf{Apply the fraction rule}\quad \dfrac{a+b+c}{d}=\dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}[/tex]

[tex]\implies \dfrac{12x^{a}}{cx^d}-\dfrac{18x^8}{cx^d}+\dfrac{bx^6}{cx^d}=ex^{11}+3x^f+7x[/tex]

Taking the second term and calculating the coefficient of the denominator:

[tex]\implies -\dfrac{18x^8}{cx^d}=3x^f[/tex]

[tex]\implies \dfrac{-18}{c}=3[/tex]

[tex]\implies c=\dfrac{-18}{3}=-6[/tex]

Taking the first term, substituting the found coefficient of the denominator and calculating the coefficient e:

[tex]\implies \dfrac{12x^{a}}{cx^d}=\dfrac{12x^{a}}{-6x^d}=ex^{11}[/tex]

[tex]\implies e=\dfrac{12}{-6}=-2[/tex]

Taking the third term, substituting the found coefficient of the denominator, and calculating the coefficient of the numerator and the exponent:

[tex]\implies \dfrac{bx^6}{cx^d}=\dfrac{bx^6}{-6x^d}=7x[/tex]

[tex]\implies 6-d=1\implies d=5[/tex]

[tex]\implies \dfrac{b}{-6}=7 \implies b=-42[/tex]

Taking the first term, substituting the found coefficient and exponent of the denominator and the found coefficient e, and calculating the exponent of the numerator::

[tex]\implies \dfrac{12x^{a}}{cx^d}=ex^{11}[/tex]

[tex]\implies \dfrac{12x^{a}}{-6x^5}=-2x^{11}[/tex]

[tex]\implies a-5=11 \implies a=16[/tex]

Taking the second term, substituting the found coefficient and exponent of the denominator, and calculating the exponent f:

[tex]\implies -\dfrac{18x^8}{cx^d}=-\dfrac{18x^8}{-6x^5}=3x^f[/tex]

[tex]\implies f=8-5=3[/tex]

Substituting all found letters:

[tex]\dfrac{12x^{16}-18x^8-42x^6}{-6x^5}=-2x^{11}+3x^3+7x[/tex]

Answer:

Side 3 = a - 2

Step-by-step explanation:

Perimeter of a ∆ = sum of all the sides of a triangle

Perimeter of the given ∆ = 6a + 3 units

Side 1 = 2(a + 3)

Side 2 = 3a - 1

Side 3 = ?

Therefore:

Side 3 = Perimeter - sum of side 1 and 2

Thus:

Side 3 = 6a + 3 - [2(a + 3) + (3a - 1)]

Side 3 = 6a + 3 - [2a + 6 + 3a - 1]

Side 3 = 6a + 3 - [5a + 5]

Side 3 = 6a + 3 - 5a - 5

Side 3 = a - 2

Step-by-step explanation:

Answer:

-14 - 11i

Step-by-step explanation:

You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.

(-14 + 3i) - (14i)

= -14 + 3i - 14i

Combine the i's

= -14 - 11i

That's it. The -14 is the a, and the -11 is the b in a+bi.

If necessary to fill in a computer answer that is already formatted with a plus, like:

_ + _i

then use -14 for a and -11 for b.

Answer:

x > 20/7

good luck on your test <3

Answer:

$2,552

Step-by-step explanation:

Here you will need a calculator or a paper and pencil. The easiest way to do this is to find the perimeter

So we got a rectange

                  38 Feet

                   _____

                   l         l

   20 Feet   l         l  20 Feet

                   l____l

               38 Feet

Next you need to add all of the sides together to get 100 Feet. Finally you just multiply the cost per foot by 116 to get the total cost of 2,552