Which equation can be used to solve for b?

Tan (30)= 5/b

Tan (30)= b/5

Tan (30)=10/b

Tan (30)=b/10

Answer:

The correct answer is option C   3/4

Step-by-step explanation:

It is given a right angled triangle ABC

To find the value of x

Hypotenuse² = Base² + height²

(x + 2)² = x² + (x + 1)²

x² + 4x + 4 = x² + x² + 2x + 1

x² -2x -3 = 0

We get x = 3 and x = -1

We take positive value x = 3

To find Tan A

Tan A = Opposite side/Adjacent side

 = BC/AB = x/(x + 1) = 3/4

Therefore the correct answer is option C.   3/4

hey so here ya go, ? = 2500 :)

Answer:

56.25

Step-by-step explanation:

A simple way to answer questions like these is to

Step 1: Multiply 15 and 375. This equals = 5625

Step 2: divide 100 and 5625. This equals = 56.25

Answer:

Step-by-step explanation:

The zeros of a function are where it crosses the x axis, so just find the coordinates for the x intercepts.

1.

[tex](2,0)[/tex] and [tex](-1,0)[/tex]

2.

[tex](3,0)[/tex] and [tex](-3,0)[/tex]

Answer:

Radius of the given circle is r = 2.

Step-by-step explanation:

Given equation of the circle is [tex]x^2 + y^2 = 4[/tex].

Now we need to find the radius of the given circle [tex]x^2 + y^2 = 4[/tex].

To find that let's compare with the formula of the circle with is [tex]x^2 + y^2 = r^2[/tex], where r is the radius.

We get [tex]r^2 = 4[/tex]

take square root of both sides.

[tex]r=2[/tex]

Hence radius of the given circle is r = 2.

ANSWER

The radius is 2

EXPLANATION

The given equation of the circle is

[tex] {x}^{2} + {y}^{2} = 4[/tex]

.This is the same as

[tex]{x}^{2} + {y}^{2} = {2}^{2} [/tex]

We campare to the equation of the circle with center at the origin.

[tex]{x}^{2} + {y}^{2} = {r}^{2} [/tex]

We have

[tex]r = 2[/tex]

.Hence the radius of the circle is 2

Answer:

[tex]\large\boxed{\dfrac{4}{\sqrt{10}-\sqrt6}=\sqrt{10}+\sqrt6}[/tex]

Step-by-step explanation:

[tex]\dfrac{4}{\sqrt{10}-\sqrt6}\\\\\text{use}\ (a-b)(a+b)=a^2-b^2\ \text{and}\ (\sqrt{a})^2=a\\\\=\dfrac{4}{\sqrt{10}-\sqrt6}\cdot\dfrac{\sqrt{10}+\sqrt6}{\sqrt{10}+\sqrt6}=\dfrac{4(\sqrt{10}+\sqrt6)}{(\sqrt{10})^2-(\sqrt6)^2}=\dfrac{4(\sqrt{10}+\sqrt6)}{10-6}\\\\=\dfrac{4(\sqrt{10}+\sqrt6)}{4}=\sqrt{10}+\sqrt6[/tex]

The rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

Rationalization is a procedure used in elementary mathematics to remove the irrational number from the denominator.

The rationalization of the given fraction will be :-

[tex]=\dfrac{4}{\sqrt{10}-\sqrt{6}}\times \dfrac{\sqrt{10}+\sqrt{6}}{\sqrt{10}+\sqrt{6}}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2}=\dfrac{4\sqrt{10}+\sqrt{6}}{10-6}[/tex]

[tex]\dfrac{4\sqrt{10}+\sqrt{6}}{\sqrt{10}^2-\sqrt{6}^2} =\dfrac{4\sqrt{10}+\sqrt{6}}{4}=\sqrt{10}+\sqrt{6}[/tex]

Hence rationalization of the given expression will be equal to

[tex]\dfrac{4}{\sqrt{10}-\sqrt{6}}=\sqrt{10}+\sqrt{6}[/tex]

To know more about rationalization follow

https://brainly.com/question/14261303

#SPJ2

Answer:

the third one all the way to the right

Step-by-step explanation:

the other two have two or more congruent sides and that one doesnt and also the one that doesn'r belong has a right angle and the others dont

Answer: 24 pounds

weight on moon=(.16)(weight on earth)

weight on moon= (.16)(150)=24

Answer:

Height 356: 12816 cm3

Height 6: 216 cm3

Height 5: 180 cm3

Height 3: 108 cm3

Step-by-step explanation:

base * height = volume

Answer:

The answer will be: false.

18k = 12

12 + 4 = 16

16 > 18

So the equation is false.

Hope this helps! :D

Step-by-step explanation:

Answer:

[tex]4[/tex]

Step-by-step explanation:

To find the opposite of the opposite, multiply the given number by -1 twice, or just 1 since [tex]-1*-1=1[/tex].

[tex]4*-1*-1=4[/tex] or [tex]4*1=4[/tex]

The opposite of a number is its additive inverse. Therefore, the opposite of the opposite of a given number will always be the original number itself. In this instance, the opposite of the opposite of 4 is 4.

The question asks for the opposite of the opposite of a given number. In mathematics, the 'opposite' of a number is its additive inverse. If the original number is positive, its opposite is the same number as a negative. Vice versa, if the original number is negative, its opposite would be positive. For example, the opposite of 4 is -4 and the opposite of -4 is 4.

So let's apply this concept to the given number, which is 4. The opposite of 4 is -4. Now, the opposite of -4 is 4. Hence, the opposite of the opposite of 4 is 4.

https://brainly.com/question/36830748

#SPJ2

Answer: 2x-7, 2+4.

Explanation: An expression is a mathematical phrase that has a + or - but no equal sign.

Answer:

[tex]x=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]-4(x+1)-3=(x-4) \\ \\ -4x-4-3=x-4 \\ \\ -4x-7=x-4 \\ \\ -7=5x-4 \\ \\ 5x=-3 \\ \\ x=-\frac{3}{5}[/tex]

- 4 ( x + 1) - 3 = ( x - 4)

    2. Take away the parenthesis at the end

    3. Combine like terms

    4.  Add 4x to each side

    5. Add 4 to each side

    6.  Divide

Answer:

Minimum 13

First quartile 16

Step-by-step explanation:

Rewrite the sample 20 70 13 15 23 17 40 51 in ascending order:

13  15  17  20  23  40  51  70

The minimum is 13.

The median is the middle number

13  15  17  20  23  40  51  70

The middle number between 20 and 23 is

[tex]\dfrac{20+23}{2}=21.5[/tex]

Consider first half of the sample

13  15  17  20

The first quartile is the middle number of this part. The middle number of

13  15  17  20

is

[tex]\dfrac{15+17}{2}=16[/tex]

Answer:

[tex]\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Step-by-step explanation:

In this question we have to subtract the corresponding entries of column of matrix 1 and the matrix 2 corresponding entries

[tex]=\left[\begin{array}{cc}-1&0\\1&-2\\1&3\end{array}\right]-\left[\begin{array}{cc}-1&1\\2&-2\\2&4\end{array}\right] \\=\left[\begin{array}{cc}-1-(-1)&0-1\\1-2&-2-(-2)\\1-2&3-4\end{array}\right]\\=\left[\begin{array}{cc}-1+1&-1\\-1&-2+2\\-1&-1\end{array}\right]\\=\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right][/tex]

Answer:

If the two chords are congruent, then they must be equidistant from the centre of the circle. 

Ans: D

The diagram attached below shows that if two congruent chords are in a given circle, a statement that will be true is:

Facts about congruent chords in a given circle:

The diagram attached below therefore shows that if two congruent chords are in a given circle, a statement that will be true is:

Learn more here:

https://brainly.com/question/2364467

Answer: B

Step-by-step explanation: do you still need help with this let me know :P

Answer:

B. 5

Step-by-step explanation:

In an experiment, Seth was given a substance known as ammonium carbonate, (NH4)2CO3. Seth connected a Bunsen burner to the gas valve using a gas hose. He turned on the gas valve and lit the Bunsen burner. Using a test tube, Seth heated a piece of ammonium carbonate. Seth noticed the following: - Condensation appeared on the sides at the top of the test tube. (Condensation is not a chemical change, but it was a sign of a chemical change.) - An ammonia smell was coming from the test tube. Seth continued to light a wooden splint and stick it down the test tube and it immediately was extinguished.

Answer:384ft^3

Step-by-step explanation:

4x4=16x6=96x4=384^3

Answer:

D) 384

Step-by-step explanation:

i just took the test

First 816

second 143

Third 4207.5

Answer: 1/4

Step-by-step explanation: 1/4 x 1/4= 1/16

Answer:

7 inches just took test

Step-by-step explanation:

The rise, r, for each stair is 7 inches.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From the given figure the  length of each stair is 11 inches.

We have to find the rise of each stair.

From the pythagoras theorem we find the value of r.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

11²+r²=13²

121+r²=169

r²=169-121

r²=48

Take square root on both sides

r=6.9

r= 7 inches.

Hence, the rise, r, for each stair is 7 inches.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Answer:

[tex]\large\boxed{7c^2d-7c+4d-10}[/tex]

Step-by-step explanation:

[tex]5c^2d-4c+3d-3+2c^2d-3c+d-7\qquad\text{combine like terms}\\\\=(5c^2d+2c^2d)+(-4c-3c)+(3d+d)+(-3-7)\\\\=7c^2d-7c+4d-10[/tex]

[tex]3x \geqslant 23 - 5 \\ 3x \geqslant 18 \\ x \geqslant 6 \\[/tex]

Answer:      x≥ 6

Step-by-step explanation:

To solve this inequality

3x - 23 ≥ -5

First, what you need to do is to add 23 to both-side of the inequality, Hence;

3x  -23  +  23  ≥ -5 + 23

(-23 + 23  = 0,   also  -5 +  23  = 18)

3x   ≥   18

To get the value of x, we need to divide both-side of the inequality by 3

3x /  3       ≥   18/3

(On the left hand side of the equation, the three at the numerator will cancel out that of the denominator, then on the right hand side of the equation, 3 will divide 18 which will give 6)

x ≥    6

it is the second one

Answer: Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Step-by-step explanation:

A conditional statement is written as "if p then q" , where symbol 'p' represents the hypothesis and symbol 'q' represents the conclusion.

For example : If a coin has two heads , then the coin is biased.

here , Hypothesis : a coin has two heads

Conclusion : coin is biased

Given conditional statement : If two lines intersect at right angles, then the two lines are perpendicular.

Here, Hypothesis: Two lines intersect at right angles.

Conclusion: The two lines are not perpendicular.

Answer:

First Iterate: 11-2i

Second Iterate: 25-6i

Third Iterate: 53-14i

Step-by-step explanation:

Given:

f(z)=2z+(3-2i)

And  

z_0=4

For the first iterate we have to put the value of z0 into the function in place of z.

First Iterate:

z_1=f(z_0 )=2z_0+(3-2i)

=2(4)+(3-2i)

=8+3-2i

=11-2i

Second Iterate:

For the second iterate we have to put the value of z1 into the function in place of z.

z_2=f(z_1 )=2z_1+(3-2i)

=2(11-2i)+(3-2i)

=22-4i+3-2i

=25-6i

Third Iterate:

For the third iterate we have to put the value of z2 into the function in place of z.

z_3=f(z_2 )=2z_2+(3-2i)

=2(25-6i)+(3-2i)

=50-12i+3-2i

=53-14i

Answer:d

Step-by-step explanation:

Cuz

49.96 + 49.96 + (49.96x.5)

99.92+24.94=124.86 divide 7.1 and 124.86 which gives you 17.58591549295775 but I’m guessing u round so 17.59 and add that to 124.86which equals 142.45. The total cost is 142.45. But each shirt is 49.96 and the third is 24.94. Don’t forget the dollar sign and have a good day! :)

Answer:

it's 44.59

Step-by-step explanation:

The answer is C. X^2-6x+9

Answer:

C. [tex]x^2-6x+9[/tex]

Step-by-step explanation:

We have the expression [tex](x-3)^2[/tex] we can rewrite it as:

[tex](x-3)^2=(x-3)(x-3)[/tex] and solve it with distributive property or we can use the formula to multiply a binomial by itself. The formula is:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

or

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Then:

[tex](x-3)^2=x^2-2.x.3+3^2\\(x-3)^2=x^2-6x+9[/tex]

The correct option is C. [tex]x^2-6x+9[/tex]

Answer:

x = -1

y = 6

Step-by-step explanation:

Equation (1) : -4x + 2y = 8

Equation (2) : 4x + 4y = 28​

(1) + (2):

6y = 36

y = 6

Sub y = 6 into (1):

-4x + 2(6) = 8

-4x + 12 = 8

-4x = -4

x = -1

Answer:

see explanation

Step-by-step explanation:

The 2 indicated angles form a straight angle and are supplementary.

4x + 5 + 41 = 180

4x + 46 = 180 ( subtract 46 from both sides )

4x = 134 ( divide both sides by 4 )

x = 33.5

For this case we have that the distance between two points is given by:

[tex]d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}[/tex]

We have the points:

[tex](x_ {1}, y_ {1}) = (5, -2)\\(x_ {2}, y_ {2}) = (- 7,3)[/tex]

Substituting:

[tex]d = \sqrt {(- 7-5) ^ 2 + (3 - (- 2)) ^ 2}\\d = \sqrt {(- 7-5) ^ 2 + (3 + 2) ^ 2}\\d = \sqrt {(- 12) ^ 2 + (5) ^ 2}\\d = \sqrt {144 + 25}\\d = \sqrt {169}\\d = 13[/tex]

Thus, the distance between the points is 13

Answer:

[tex]d = 13[/tex]

Answer:

66.6%

Step-by-step explanation: