CAN SOMEONE HELP WITH THIS QUESTION?✨

The value of x in the triangle is 1/√3

We know that tan function is the ratio of opposite side and adjacent side

In triangle, for angle 60 degrees the opposite side is 1 unit

Adjacent side is x units

tan 60 = opposite side/adjacent side

√3= 1/x

We need to find value of x

Apply cross multiplication

x=1/√3

Hence, the value of x in the triangle is 1/√3

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Answer:  B. 78

Step-by-step explanation:

Given:

BC=CD

all the other sides of each triangle are radii, so they are all equal the 2 triangles are congruent.

>Both angles A =78

An angle from the radius is the same as the arc angle it creates.

The arc angle is double only if the angle touches the end of the circle not the radius.  that's why it's not 156

So, <BAC =78   so arc angle BC=78

Lenght of Tsing Ma Bridge in Hong Kong is, 1,377 meters

Given that;

The Mackinac Bridge in Michigan is 1158 meters long.

And,  The Tsing Ma Bridge in Hong Kong is 97 meters longer than the Golden Gate Bridge in California.

Let the length of Golden Gate Bridge = x

Then, Lenght of Tsing Ma Bridge in Hong Kong = x + 97

Since, Together, all three bridges have a length of 3815 meters.

Hence, We get;

1158 + x + (x + 97) = 3815

1255 + 2x = 3815

2x = 2,560

x = 1,280 meters

Thus, Lenght of Tsing Ma Bridge in Hong Kong = x + 97

                                                                         = 1280 + 97

                                                                        = 1,377 meters

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The difference between the median math test score in the morning and the afternoon is 9.5

The median can simply be described as the middle number in a given set of data when the values are arranged in an order from least to the greatest values.

From the information given, we have that;

The math scores for the afternoon test were;

55, 70, 76, 85, 95

The math scores for the morning test were;

70, 80.5, 85.5, 90.5 and 95.5

Hence,

The median for the afternoon test = 76

The median for the morning test =85.5

The difference between the values would be = 85.5 - 76 = 9. 5

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The height attained is 1290 feet

The time taken to reach the ground is 9s

The velocity on reaching the ground is  288 m/s.

We know that we can be able to handle the problems that we have here by the use of the equations of motion and that is what we shall do in the problems that follow.

h = ut - 1/2gt^2

h = height

u = initial velocity

g = acceleration due to gravity

t = time

Thus;

h = (18 * 5) - 1/2 * (-32) * 5^2

h =90 + 400

h = 490 feet

Thus the height after five seconds is 490 feet + 800 feet = 1290 feet

Using h = ut + 1/2gt^2

h = 1290 feet

u = 0 m/s when dropped

1290=  + 1/2 * (32) *t^2

1290 = 16t^2

Thus

t = 9s

The velocity when it hits the ground is;

v = u + gt

u = 0 m/s when dropped

v = 32 * 9

v = 288 m/s

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The necessary information to carry out the hypothesis are given below.

For carrying out a hypothesis examination on the information, we need to do the following steps:

Step 1: Express the null and alternative hypotheses

Step 2: Pick the pertinent measure of value and significance level

Step 3: Compute the test statistic

Step 4: Estimate the p-value

Step 5: Draw a conclusion and interpret the results

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The equation of line perpendicular to "y = (1/2)x - 1" and passing through point (5,6) is y = -2x + 16,

The equation of the line is y = (1/2)x - 1, is in slope-intercept form "y = mx + b", where m is slope,

To find the slope of the given line, we see that it is in the form y = mx + b, where m = 1/2.

We know that, slope of a line perpendicular to this line will be the "negative-reciprocal" of this slope.

So, the slope of the perpendicular line will be -2.

Now we use the point-slope form of the equation of a line to find the equation of the perpendicular line passing through the point (5, 6). The point-slope form is : y - y₁ = m(x - x₁),

where (x₁, y₁) is given point and "m" is slope of the line;

Substituting the values, we get:

⇒ y - 6 = -2(x - 5),

⇒ y = -2x + 16,

Therefore, the equation of perpendicular line is y = -2x + 16.

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The inequality that represents the situation is w ≥ 32.

To graph the inequality, we first need to solve it for w:

3/4w ≤ 24

We can isolate w by multiplying both sides by 4/3 (which is the reciprocal of 3/4), remembering to reverse the inequality because we're multiplying by a negative number:

w ≥ 24 × 4/3

w ≥ 32

So the solution to the inequality is w ≥ 32.

To graph this, we draw a number line and put a closed circle at 32 (because the inequality includes "equal to"), and shade to the right of 32 to represent all the values that satisfy the inequality given in the attached image.

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Answer:

2 2/3 cups flour

Step-by-step explanation:

32 cookies

by my calculations

Answer:

Step-by-step explanation:

The solution for y in the given equation x + 3y = 6 and 2x - y = 10 is 2/7.

The numeric value of f(x) at x = π/5 is given as follows:

f(π/5) = - 2π/5 - 2

We are given the second derivative of the function, as follows:

f''(x) = -25sin(5x).

As we have the second derivative of the function, the function itself is obtaining integrating the second derivative twice.

Using integral by substitution, the first derivative is given as follows:

f'(x) = 5cos(5x) + K1

In which K1 is the constant.

When x = 0, f'(0) = 3, hence the value of K1 is obtained as follows:

3 = 5 + K1

K1 = -2.

Hence:

f'(x) = 5cos(5x) - 2.

Integrating again, the function is given as follows:

f(x) = 5sin(5x) - 2x + K2.

When x = 0, y = -2, hence the constant K2 is obtained as follows:

K2 = -2.

Thus the function is:

f(x) = 5sin(5x) - 2x - 2.

The numeric value of the function at x = π/5 is obtained as follows:

f(π/5) = 5sin(5(π/5)) - 2(π/5) - 2.

f(π/5) = 5sin(π) - 2π/5 - 2

f(π/5) = - 2π/5 - 2 -> as sin(π) = 0.

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The probability that both events will occur is 23.76%.

Given that, you have 100 tiles and 98 are letters and 2 are blank you randomly drawl 2 title the first is a consonant and the 2nd is a vowel.

Consonants (A) = 56

Vowels (B) = 42

Blank = 2

Total letters = 100

Two letters are drawn with replacement.

P(A) = 56/100 = 0.56

P(B) = 42/ (100-1) = 0.424

P(A).P(B) = 0.56*0.424 = 0.2376

Hence, the probability that both events will occur is 23.76%.

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Complete question is attached.

The required fraction of the number of trees in a full row that is the number of trees in the extra row is 6/10.

Number of full rows = 8450 trees / 125 trees/row = 67.6 rows

Since Emiliano cannot plant a fraction of a row, the number of full rows he plants is 67.

To find the number of trees in the extra row, we need to subtract the number of trees in the full rows from the total number of trees:

Number of trees in the extra row = 8450 trees - (125 trees/row × 67 rows) = 75 trees

Therefore, Emiliano plants 67 full rows and an extra row with 75 trees.

To find the fraction of the number of trees in a full row that is the number of trees in the extra row, we need to divide the number of trees in the extra row by the number of trees in a full row:

Fraction of the number of trees in a full row that is the number of trees in the extra row = 55 trees / 125 trees/row = 0.6 or 60/100 or 6/10

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The missing values from ratio table are 17 and 28.

We have table as

3      1

48    16

51      x

78    26

84     y

So, the ratio are in proportion then

48 / 16 = 51 /x

3 = 51/x

x= 51/3

x = 17

and, 3/1 = 84/y

y= 84/3

y= 28

Thus, the values are 17 and 28.

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Answer:

Step-by-step explanation:

211

welcome hun

Work Shown:

r = 2 = radius

h = 3 = height

SA = surface area of the cylinder

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*pi*2^2 + 2*pi*2*3

SA = 8pi + 12pi

SA = 20pi   ....... exact surface area

SA = 20*3.1415926535898

SA = 62.831853071796

SA = 62.832 ....... approximate surface area

The solution is,  $ 12833 .59 will he have in the account after 5 years.

Compound interest is a type of interest that is calculated not only on the principal amount of a loan or investment, but also on any interest that has previously accrued. In other words, it is interest that is earned on both the initial principal and any interest that has been added to it over time.

by the question.

We can use the formula for compound interest to solve the problem:

A = P

where:

A = final amount (x in this case)

P = principal or initial amount ($10,000.00)

r = annual interest rate (5% in this case)

n = number of times the interest is compounded per year (12, since it's compounded monthly)

t = time in years (5, since Tyrone opened the account 5 years ago)

Substituting the values given, we get:

A = $ 12833 .59

The solution is,  $ 12833 .59 will he have in the account after 5 years.

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Answer: 550.320 to the nearest whole number is 550.

Step-by-step explanation: If the number if five or more, it rounds up, but if it is four or less, it stays the same. Therefore, because 3 is less than four, the answer is 550. Hope this helps! :)

Answer:

550

Step-by-step explanation:

If we look at the number we see .320, as we can see the number in the front is 3 and behind that is 2, when we are rounding the key thing to always remember is if its greater than 5 we round up if not go down so sense 3 doesn't go over 5 we don't change the number in front of it 0 and the same thing with 2 but we wouldn't change the 3 instead. so sense .320 doesn't qualify as a whole number we do not need it so we get the answer,

550.

PPPLLSSS GIVE BRAINLIST MEAN THE WORLD TY

HAVE A NICE DAY :)

Based on the above, Since Ana bought 3/4 kg of lanzones and 1/2 kg of apples,  Ana bought 1  1/4 kilograms of fruits in all.

To be able to find out how many kilograms of fruits Ana bought in total, you have to add the amount of lanzones and apples she have.

Ana = 3/4 kg of lanzones

Ana = 1/2 kg of apples

So it will be:

3/4 + 2/4 = 5/4

Therefore, Ana will have bought a total of 5/4 kilograms of fruits.

To convert it to a mixed number, you need to divide the numerator by the denominator:

5 ÷ 4 = 1 remainder 1

So, the mixed fraction will  be 1  1/4 kg.

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See full question below

Ana bought 3/4 kg of lanzones and 1/2 kg of apples. How many kilograms of fruits did she buy in all?​

Answer:

y = (x - [tex]\frac{7}{2}[/tex])² - [tex]\frac{21}{4}[/tex]

Step-by-step explanation:

y = x² −7x + 7

Complete the square for y = x² −7x + 7

(x - [tex]\frac{7}{2}[/tex])² - [tex]\frac{21}{4}[/tex]

Set y equal to the new right side.

y = (x - [tex]\frac{7}{2}[/tex])² - [tex]\frac{21}{4}[/tex]

So, the answer is y = (x - [tex]\frac{7}{2}[/tex])² - [tex]\frac{21}{4}[/tex]

Answer:

May is 52 inches tall

Step-by-step explanation:

stephan=46in

sister=6+stephan(in inches)=6+46=52

Answer:

answers in picture

(Btw we can’t see one of the triangles so you can just assume that the last one would be 46 degrees)

Step-by-step explanation:

Hope this helps! Pls give brainliest!

The lines are neither parallel nor perpendicular to line p

From the question, we have the following parameters that can be used in our computation:

y = -3x + 10

As a general rule

Using the above as a guide, we have the following:

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The requried shading would occur above the solid line of the slope.

To graph the inequality 9x + 5y > 1, we first need to graph the equation 9x + 5y = 1, which is the equation of the line that separates the two regions determined by the inequality.

To graph this line, we can solve for y in terms of x:

9x + 5y = 1

y = (-9/5)x + 1/5

This is the equation of a line with slope -9/5 and y-intercept 1/5. We can plot this line on a coordinated plane. Since the slope of the line is negative, the shading should occur above the line, which means the correct answer is: The shading would occur above the solid line of the slope.

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The surface area of the rectangular prism is 216 square cm

From the question, we have the following parameters that can be used in our computation:

10 cm by 3 cm by 6 cm

The surface area of the rectangular prism is calculated as

Area = 2 * (3 * 10 + 3 * 6 + 10 * 6)

Evaluate

Area = 216

Hence, the area is 216 square cm

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Answer:

Step-by-step explanation: A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure

step 1

Find the value of x

we know that

----> by vertical angles

substitute the given values

solve for x

step 2

Find the measure of the interior angles of triangle JKL

we have

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

therefore

Triangle JKL has angles that measure

step 3

Find the measure of the interior angles of triangle LMN

we have

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

Triangle LMN has angles that measure

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure

The statement is true  (see the explanation)

Part d) ΔLMN has angles that measure

The statement is false

Because, Triangle LMN has angles that measure

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

The requried, intersection points are (√5, 5), (-√5, 5), (√2, 2), and (-√2, 2).

To find the intersection points of the parabola y = x² and the circle with radius √6 and center at (0,4), we need to solve the system of equations:

x² + (y - 4)² = 6 (equation of circle)

y = x² (equation of parabola)

We can substitute y = x² into the equation of the circle and obtain a quadratic equation in x:

x² + (x² - 4)² = 6

x⁴ - 7x² + 10 = 0

This equation can be factored as:

(x² - 5)(x² - 2) = 0

Therefore, the solutions for x are x = ±√5 and x = ±√2. To find the corresponding values of y, we can substitute these values of x into the equation of the parabola:

y = x²

For x = √5, we have y = (√5)² = 5, and for x = -√5, we have y = (-√5)² = 5.

For x = √2, we have y = (√2)² = 2, and for x = -√2, we have y = (-√2)² = 2.

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Option B is the actual length of the playground, which is 27 feet.

First, find the scale factor from the drawing to the actual playground. Since the width of the drawing is 2 inches and the actual width is 6 feet, the scale factor is:

6 feet / 2 inches = 3 feet/inch

Next, use this scale factor to find the actual length of the playground. The length in the drawing is 9 inches, so the actual length is:

9 inches x 3 feet/inch = 27 feet

Therefore, the actual length of the playground is 27 feet.

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The radius of the circle with central angle θ = 40° is r = 8.594 cm

Given data ,

A circular arc has measure 6cm and is intercepted by a central angle of 40°

Now , the radius r of the circle is given by

r = L / θ

where θ is in radians

So , 40° = 0.6981317007977318 radians

On simplifying , we get

r = 40 / 0.6981317007977318

Now , the measure of r = 8.594 cm

Hence , the radius is r = 8.594 cm

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