Type the correct answer in the box. If cos x=sin(20 + x) and 0° <x<90°, the value of x is:​

Answer:

The correct option is (b).

Step-by-step explanation:

We need to find the value of the given expression i.e.

3⁷ × 3⁻⁴

We know that, one of the property of exponent is:

[tex]x^{-a}=\dfrac{1}{a}[/tex]

So,

[tex]3^7\times 3^{-4}=3^7\times \dfrac{1}{3^4}\\\\=3^3\\\\=27[/tex]

Hence, the correct option is (b).

Answer:

True

Step-by-step explanation:

If a is negative then the shape of the graph is an upside down U, which intersects the x-axis. If a is positive it will never cross the X axis.

It is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

Function is relationship between two or more that are variables expressed in equal to form. In a function each value of x must have a corresponding value of y.

We have been given that f(x)=[tex]a^{x} +4[/tex] and we have to find whether it will cross x axis or not.

when a line crosses the x axis the value of y becomes negative. We have to first check at y=0.

[tex]a^{x}+4[/tex]=0

[tex]a^{x}[/tex]=-4

taking log both sides,

log [tex]a^{x}[/tex]=log(-4)

x log a=0.602059991+1.3437635i

x=(0.602059991+1.3437635i)/log a

when we put the value of x in f(x) the value of f(x) cannot be negative so it cannot crosses the x axis.

Hence it is true that f(x)=[tex]a^{x}[/tex]+4 will never cross the x axis if a is positive.

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Answer:

Step-by-step explanation:

It helps to draw a picture but also write what you are given

The square measures 7ft on all sides

youre paying by the square foot

to get square feet, use L x W

so 7ft x 7ft = 49 ft^2

so if we are charged $7 for 1 ft^2, then you add $7, 49 times

So youd write and solve

7 + 7 + 7 + 7 +... + 7 = $7 x 49ft^2

Answer:

1/3 area of base * height

Answer:

x = 4

Step-by-step explanation:

ΔAED  ~ ΔACB

[∠DAE = ∠BAC ( common angle ), [tex]\frac{AE}{AC} = \frac{AD}{AB}[/tex] ( gives a ratio 1:2 ) ]

[tex]\frac{AE}{AC} = \frac{DE}{BC}[/tex]

Since AC = 2AE  [ AC = AE + EC, But AE = EC, ∴ AC = AE + AE ]

 [tex]\frac{AE}{2AE} = \frac{x + 1}{4x - 6}\\\\\frac{1}{2} = \frac{x + 1}{4x - 6}\\\\\\Cross - multiplying,\\\\4x - 6 = 2 *(x + 1)\\4x - 6 = 2x + 2\\4x - 2x = 2 + 6\\2x = 8\\x = 4[/tex]

Answer:

56

Step-by-step explanation:

g(2) = 3(2) + 2

      = 6 + 2

      = 8

f(8) = 8^2 - 8

     = 64 - 8

     = 56

Answer:

D 1

Step-by-step explanation:

Answer:

In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to satisfy one condition, or the other condition, or both at the same time.

Step-by-step explanation:

thank me later

Answer:

x = 33

y = 5

Step-by-step explanation:

Answer:

Following are the solution to the given question.

Step-by-step explanation:

Please find the graph file and its solution in the attachment.  

[tex]4x-15=3x+28\\\\4x-3x=28+15\\\\x=43\\\\[/tex]

Similarly:

[tex]3y+5=2y+50\\\\3y-2y=-5+50\\\\y=45\\\\[/tex]

For point 1:[tex]\to KR=4x-15= 4\times 43-15=172-15=157[/tex]

For point 2: [tex]\to BR=2y+50= 2\times 43+50=86+50=136[/tex]

For point 3:[tex]\to BE=KR=157[/tex]

For point 4:[tex]\to Kf=BR=130[/tex]

For point 5:[tex]\to ERK=KFB=180^{\circ} -\angle B-\angle ERB = 180^{\circ}-92^{\circ}-18^{\circ}=70^{\circ}[/tex]

Given that ΔKER and ΔBRE are congruent triangles, therefore:

1. How far KFC is from RCBC = KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 70°

Congruent triangles have corresponding parts hat are congruent to each other.

Thus, given that ΔKER ≅ ΔBRE, find the values of x and y as shown below:

KR = BE

4x - 15 =  3x + 28

4x - 3x = 15 + 28

x = 43

KE = BR

3y + 5 = 2y + 50

3y - 2y = -5 + 50

y = 45

Thus:

1. How far KFC is from RCBC = KR

KR = 4x - 15

Plug in the value of x

KR = 4(43) - 15

KR = 157 m

2. How far BaliwagLetchon Manok is from RCBC Savings Bank = BR

BR = 2y + 50

Plug in the value of y

BR = 2(45) + 50

BR = 140 m

3. How far Baliwag Lechon is from his residence = BE = KR = 157 m

4.  How far KFC is from his residence = KE = BR = 140 m

5. The measure of ∠ERK = 180 - (92 + 18) = 70°

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becouse The size does not differ whether it is big or small, the degree remains the same

Answer: 385

Step-by-step explanation:

If prior population proportion p is unknown, then the formula to compute sample size will be:

[tex]n= 0.25(\frac{z^*}{E})^2[/tex]

where, E= Margin of error, z* = Critical zvalue

Given: E= 0.05

Critical value for 95% confidence = 1.96

Required sample size: [tex]n=0.25(\frac{1.96}{0.05})^2[/tex]

[tex]\\=384.16\approx385[/tex]

Hence, the required sample size = 385

Answer:

QR

Step-by-step explanation:

A chord is a line that joins two points on the outside of the circle

QR and KL are chords

Answer:

Yes, your answers are correct!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

you are correct!

Answer:

A. Yes

Step-by-step explanation:

I calculated it logically

Yes the given figure with triangular tessellates the plane.

All triangles tessellate.

The picture works because all three corners (A, B, and C) of the triangle come together to make a 180° angle - a straight line.

This property of triangles will be the foundation of our study of polygon tessellations, so we state it here: The sum of angles of any triangle is 180°.

Yes, the given figure tessellates the plane.

Hence, Yes the given figure tessellates the plane.

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Answer:

0.36x, [tex]\frac{9}{25}[/tex]x

Step-by-step explanation:

36/100 = 9/25

Answer:

15.05 is your answer.

Step-by-step explanation:

To find our answer we will first divide 8.75 by 100 since it is a percentage.  8.75 ÷ 100 = 0.0875

Now we will take 0.0875 and multiply it by 172 and we get 15.05.  Therefore, 15.05 is our answer

Hey there!

8.75% of 172

The word “of” means multiply in mathematical terms.

8.75% * 172

8.75% = 8.75/100 = 0.0875

0.0875 * 172

= 301/20

= 15.05

Answer: 301/20 OR 15.05

(BOTH ANSWERS WORK because they are both equivalent)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees.

Step-by-step explanation:

Write each decimal using a negative exponent. ... DNA contains the genetic code of an organism. ... meter. Which of the following represents the length of the DNA strand as a decimal?

Volume of the new similar cylinder is equals to 340,426.24 in.³.

" Volume is defined as the total space occupied by any three dimensional objects enclosed in it."

Formula used

Volume of the cylinder = πr²h

r = radius of the cylinder

h = height of the cylinder

value of π = 3.14

According to the question,

radius of the cylinder = 11 in.

height of the cylinder = 14 in.

Dimensions of new cylinder are quadrupled means 4times.

New radius = 44 in.

New height = 56 in.

Substitute the value in the formula we get,

Volume of the new cylinder = (3.14) ×(44)² × (56)

                                      = 340,426.24 in.³

Hence, volume of the new similar cylinder is equals to 340,426.24 in.³.

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Answer:

80

Step-by-step explanation:

4x20=80