use trigonometry to find the unknown side (round to 1 decimal)​

Use Trigonometry To Find The Unknown Side (round To 1 Decimal)

Answers

Answer 1

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5


Related Questions

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!

Answers

Answer:

Cannot be determined.

Step-by-step explanation:

The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.

Sandra has developed a program designed to increase reading comprehension scores in 6th graders. She randomly selects three students and has them participate in her program. When she compares the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores. What is most likely the reason for the non-significant finding

Answers

Answer:a small sample size

Step-by-step explanation:

From the information given in the question, we are informed that Sandra developed a program that was designed to increase reading comprehension scores in 6th graders and she then randomly selects three students and has them participate in her program.

After comparing the mean score from the students who completed her program to three students who did not participate in the program, she finds no significant difference between their mean scores, it should be noted that the reason for this will be because the sample size is small.

If a large sample size was used, this could have been different as thsi could result in a significant difference between their mean scores.

PLZ HELP, GIVING BRAINLIEST!!!
Find the length of the intercepted arc.
pi/6, r = 2.5

Answers

Answer:

4pi

Step-by-step explanati

Find the length of AD in the figure.

A. √26 units
B. √34 units
C. √122 units
D. √130 units

Answers

Answer:

√122

Step-by-step explanation:

To find the distance/length between two points

Use this formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]\sqrt{(1 - 2)^2 + (3 + 8)^2}[/tex]

[tex]\sqrt{(-1)^2 + (11)^2}[/tex]

[tex]\sqrt{1 + 121}[/tex]

[tex]\sqrt{122}[/tex]

A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.

Answers

The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base  is x³-2x²-75 = 0

The formula for calculating the volume of the conical lid's is expressed as

[tex]V = \frac{1}{3} \pi r^2h[/tex] where:

r is the radius

h is the height

v is the volume

Given the following

r = x

If the conical lid’s height is 2 centimeters less than the radius, x, then;

h = x - 2

V = 25π cm³

Substitute the given values into the formula as shown:

[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]

Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base  is x³-2x²-75 = 0

Sue was paid $384 for working 32 hours. How many hours will she have to work to earn $672?​

Answers

Answer:

56

Step-by-step explanation:

Answer:

56 hours

Step-by-step explanation:

I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours

A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 30%, the height has been increased by 20%, and the width remains the same.
By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.

Answers

70% - Rounded Answer

is the value of x=3 find the value of 4x³-2x²+3x​

Answers

Answer:

99

Step-by-step explanation:

4x³-2x²+3x​

4×3³-2×3²+3×3

4(27)-2(9)+9

108-18+9

99

99

=(4)(27)−2(32)+(3)(3)

=108−2(32)+(3)(3)

=108−(2)(9)+(3)(3)

=108−18+(3)(3)

=90+(3)(3)

=90+9

=99

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table

Answers

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

Find the distance between points (a,b) and Q -a,-b)​

Answers

Answer:

d = 2* sqrt(a^2 + b^2)

Step-by-step explanation:

Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.

P = (a,b)

Q= (-a,-b)

x1 = a

x2 = - a

y1 = b

y2 = - b

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (-a - a)^2 + (-b - b)^2  )

d = sqrt ( -2a)^2 + - (2b)^2 )

d = sqrt(4a^2 + 4b^3)

d = 2* sqrt(a^2 + b^2)

(4*10^4)+(6*10^2) Standard form

Answers

Answer:

40600

Step-by-step explanation:

(4 * 10^4) + (6 * 10^2) =

= 4 * 10000 + 6 * 100

= 40000 + 600

= 40600

Answer:

4.06 x 10^4

Step-by-step explanation:

Solve the equation using the zero-product property.

(2x − 8)(7x + 5) = 0

Answers

Answer:

x=4and -5/7

Step-by-step explanation:

i hope it will be easy

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation}\downarrow[/tex]

[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]

[tex]\large\text{Step-by-Step}\downarrow[/tex]

[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]

[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]

[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]

[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]

[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]

[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]

[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).

Answers

Answer:

y=2x-4

Step-by-step explanation:

The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4

The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends​

Answers

The match ends at 13:45

What is the volume of the solid? Let π=3.14

Answers

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

Using the diagram below, which of the following parts of the triangles are
congruent?
7 miles
B
С
16 ft
12 ft
D
21 ft
E
1 mile = 5280 ft
Given:
1. ACAB-ACED
2. AB ||ED
A. ZA ZB
B. ZASZC
y

Answers

Answer: Choice D. [tex]\angle A \cong \angle E[/tex]

Explanation: Since AB is parallel to ED, this means the alternate interior angles A and E are congruent as marked below.

Angle A is congruent to angle E by alternate interior angle theorem. Therefore, option D is the correct answer.

What are similar triangles?

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle CAB is similar to triangle CED and AB is parallel to ED.

From the given figure, AB=7 miles, DC=16 ft, EC=12 ft and DE=21 ft.

Here, in figure,

∠A ≅ ∠E  (Alternate interior angles)

∠B ≅ ∠D  (Alternate interior angles)

∠ACB ≅ ∠DCE  (Vertically opposite angles are congruent)

Therefore, option D is the correct answer.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ7

please help me with this also if your good at geometry please dm me I need serious help!!​

Answers

Answer:

0.92

Step-by-step explanation:

cosine = adjacent/ hypotenuse

cosine of t = 12/ 13

cos t= 0.92308

help me pleaseeeeee!!!!!!

Answers

Step-by-step explanation:

AC = 20

AB = 18

BC² = 20²+ 18² -2•20•18•cos(52°)

BC² = 280.72

BC = √280.72

BC ≈ 16.75

Angle C:

18² = 20² + 16.75² -2•20•16.75•cos(C)

324 = 400 + 280.72 -670•cos(C)

cos(C) = -356.72/-670

cos(C) ≈ 0.53

acos(0.53) = C

C = 57.8°

Angle B:

180-52-57.8 = 70.2°

please can someone help me?

Answers

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.

Answers

Answer:

(y/7)x(4+9)

Step-by-step explanation:

statement one y/7

statement two 4+9

(y/7)x(4+7)

4. What is the volume of the pyramid?
7 ft
9 ft
10 ft

Answers

Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.

The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft

What is the slope of a line parallel to line B?

Answers

The slope to line B is 5/2 so a line parallel would have a slope of 5/2.

Does this graph represent a function (scatter)

A. Yes
B. No

Answers

Answer:

A. Yes

Step-by-step explanation:

it is always yes because no os negative

Answer

a

Step-by-step explanation:

it does represent a function

could someone please answer this

Answers

Answer:

Step-by-step explanation:

draw a parallel line to x at a distance of 23 cutting the quadrilateral in two points.

A right angle is formrd at the bottom.

Hypotenuse=59

one side=45-23=22

x= other side=√(59²-22²)=√(59-22)(59+22)=√((37)(81))=9√(37)≈54.74

You put $5000 in an investment account with interest compounded
continuously. Calculate the approximate annual interest needed for the
account to grow to $10,000 after 20 years.

Answers

Answer:

3.465 %

Step-by-step explanation:

10000 = 5000 [tex]e^{20r}[/tex]

2= [tex]e^{20r}[/tex]

ln(2) = 20r ln(e)

r = ln(2)/20

r = 0.03465

Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.

Answers

Answer:

D

Step-by-step explanation:

Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h

If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.

What is a pyramid?

Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.

A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.

The volume of a pyramid is given by

Volume = (1/3)base²×height.

Let say

Base width is = w

Height is = h

Volume V = w²h/3

Given

14 = w²h/3

For volume to be 28

28 = w²(2h)/3

So it is clear that he needs to double the height.

To learn more about pyramids,

https://brainly.com/question/17615619

#SPJ2

what does range mean in maths

Answers

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Biggest value-smallest value



Hope this helps

Please hurry I will mark you brainliest
What is the value of p so that the line passing through (6, 2) and (9, p) has a slope of -1?

Answers

Answer:

-1

Step-by-step explanation:

im pretty sure its right

sry if it not good luck!!

5√27-2√48-5√3-√(3-2√3)2

Answers

Answer:

4√3

Step-by-step explanation:

5√27-2√48-5√3-(√3-2√3)2

= 5√(3x9)-2√(3x16)-5√3-2√3+4√3

= 5(3)√3-2(4)√3-5√3-2√3+4√3

= 15√3-8√3-5√3-2√3+4√3

= 4√3

Convert 110011 no decimal number System​

Answers

(110011)2 = (51)10

Step by step solution

Step 1: Write down the binary number:

110011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 16 + 0 + 0 + 2 + 1 = 51.

So, 51 is the decimal equivalent of the binary number 110011.

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