In ΔDEF, f = 5 cm, m∠E=79° and m∠F=75°. Find the length of d, to the nearest 10th of a centimeter.

Answers

Answer 1

Using sine and cosine rule, the length of d in the triangle is equal to 4.5cm

What is Sine Rule

The sine rule is a mathematical formula used to calculate the lengths of the sides and angles of any triangle when given two angles and one side or two sides and one angle. It is also known as the law of sines.

To find the length of d, we have to find the length of E.

Using sine rule;

f / sin F = e / sin E

5 / sin 75 = e / sin 79

e = 5sin79 / sin 75

e = 5.7cm

To find the length of d, we have to find the angle D by using the sum of angle theorem.

m∠ E + m∠ F + m∠ D = 180°

79 + 75 + m∠ D = 180

m∠ D = 180 - 154

m∠ D = 26°

Using cosine rule

d² = e² + f² - 2efCosD

d² = 5.7² + 5² - 2(5.7)(5)cos26

d² = 20.615598

d = √20.615598

d = 4.5cm

The length of side d is 4.5cm

Learn more on sine rule here;

https://brainly.com/question/4372174

#SPJ1

In DEF, F = 5 Cm, ME=79 And MF=75. Find The Length Of D, To The Nearest 10th Of A Centimeter.

Related Questions

A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have

Answers

With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.

How to interpret a standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

We have given,

Mean weight of Eskimo dogs is μ = 30 pound

Standard deviation of Eskimo dogs is σ = 2 pound

The range of weights would 99.7% of the dogs have,

R =  μ ± 3σ

R = 30 ± 3*2

R = 30 ± 6

R = (30 - 6) , (30 + 6 )

R = 24, 36

With standard deviation of 2 pounds, the range of weight 99.7% of dogs have will be approximately 24–36 pounds.

To know more about standard deviation visit:-

brainly.com/question/23907081

#SPJ4

what is 2/3(x+7)-18x+4/5 simplifyed

Answers

Step by step explanation

2x + 14
———- -18x+4/5
3

So you do the lcm of 3&5 = 15

The 4/5 dived 15 that is 5 divided by 15 is three that’s how we got three here the arrow is what I am showing you where the three is ^
5(2x+14-279x+3 (4

10x+70-270x+ 12

10 -270x + 70 + 12

= -260x+82 ( final answer)

What kind of angle is ∠ ABC Why?

Answers

Angle sum of three angles of ABC triangle must be equal to 180 degrees.

What is angle and triangle?

Angle is the space between two intersecting lines or surface or at close to the point where there ends point meet.

A triangle is a polygon that has three straight sides and three angles.

What kind of angle is a ABC why?

Let, ABC is a triangle. The angles in this triangle can be different types.

All angles in ABC can be lies between 90 degrees and that time triangle is called acute triangle. If ABC has one right angle, then this is termed as right-angled triangle.

If one of the angles is measured greater than 90 degrees, the triangle is called obtuse triangle.

if we find all angles in ABC triangle is equal to 60 degrees, this is termed as equilateral triangle.

But for each triangle, the sum of three angles must be equal to 180 degrees.

To know more about angles in triangle visit:

https://brainly.com/question/19976619

#SPJ4

What is the length of the longer side ?

Answers

It’s probably 22 because 5 is on two sides and 11 is on two sides so 11 + 11+ 5+5 = 32

Probability
Boy Percentage = 55%

Left-handed = 12%

Right-handed = 88%

Girl Percentage = 45%

Left-handed = 9%

Right-handed = 91%


Only need C

C) "What's the probability of a newborn baby being left handed?"

Answers

Answer:

25%

Step-by-step explanation:

55 + 12 + 88 + 45 + 9 + 91=300/12=25=25%

A polygon is 283 in it means ?

Answers

Answer:

The polygons area is 283 in2

Step-by-step explanation:

lamo why u doin work on the weekend you should go nd enjoy it!

Answer:

It would be C.

Step-by-step explanation:

This is because the given measurement is for the area of the polygon. With this, the tiling of square tiles to measure a polygon is a way of measuring its area.

please help no links please

Answers

Answer:

x = 38

Step-by-step explanation:

180 - 68 = 112

122 + 20 + x = 180

142 + x = 180

180 - 142 = x

x = 38

Have a nice day!

I GIVE THANKS AND MARK BRAINLIEST

WHAT ARE THE CORRECT ANSWER(S)?

Answers

Answer:

b and d

Step-by-step explanation:

slope is  -0.632 which is quite literally what d is saying, (on terms of graphs) for every 1 square over it goes -0.63 squares down

The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 77.2 pounds. Use a standard normal distribution curve to find each probability

Answers

Answer:

11.84%

Step-by-step explanation:

What are the 4 steps to solve by elimination?

Answers

Elimination is a very easy method when it comes to solving simultaneous equations.

First, the best thing to do is bring the equations down to their lowest form. Try to remove the fractions in the co-efficient and have the equation in the standard form where every variable is expressed as individually as possible.

The next thing to do is to select a variable and manipulate the equations in such a way that the coefficients of that variable across all of the equations are the same. Here select any 2 equations to work on first if more than 2 are given

Now take one of the equations and multiply it by -1.

Add the equations up to eliminate the variable and derive the other variable(s)

To learn more about elimination visit

https://brainly.com/question/14619835

#SPJ4

Please help if you want brianleist!! :) uhm don't mind update- NO LINkS child..
Ty!

Answers

The total amount of weight gained by the dogs that gained half a pound each is [tex]2\frac{1}{2}[/tex] pounds.

What are the types of representing data?

Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.

Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.

The given line plot represents the total amount of weight gained by the dogs that gained (1/2) a pound each.

From the given information the number of dogs gained (1/2) pound are,

1 + 2 + 2 = 5 dogs (observe the fractions given).

Therefore, the total amount of pounds is = 5×(1/2) = 2.5 pounds.

learn more about line plots here :

https://brainly.com/question/29986806

#SPJ1

How do you prove a number is irrational?

Answers

To prove a number is irrational we divide the integer by another integer is the decimal is non terminating and non repeating then it will be a irrational number .

What are Irrational Numbers ?

The Irrational numbers can be defined  a number that cannot be expressed as a fraction [tex]\frac{p}{q}[/tex] for any integers p and q.

The Irrational numbers have decimal expansions that do not terminate nor repeat (periodic) . Every transcendental number is an irrational number .

(i) To prove a number irrational  when we divide an integer by another integer, and  if decimal expansion does not terminate and do not  repeat then it is an irrational .

(ii) if the number cannot be expressed in the form of [tex]\frac{p}{q}[/tex] , then also the number will be called as irrational numbers .

Learn more about Irrational Numbers here

https://brainly.com/question/4031928

#SPJ4

What is the degree of the polynomial 2x² 5x²³ 7?

Answers

The degree of the polynomial  [tex]2xA^2 5xA^2A^37[/tex] is 9

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2xA^2 5xA^2A^37[/tex]

The total sum of power is: 1+2+1+2+3=9

For more questions on Degree of polynomials:

https://brainly.com/question/1600696

#SPJ4

Please help! I need answers. Will name brainliest and give 25 points

Answers

Step-by-step explanation:

You have 1 missed call(s) from +918897

how do simplify -5x+5x or is it already simplified?

Answers

Answer:

zero is the simplified answer

Step-by-step explanation:

it's just as adding -5 to 5 which are additive inverse to each other so they cancel each other out ,, so -5 + 5 = 0

same for -5x +5X =0

What is the y-intercept at 0 4?

Answers

The y-intercept of (0,4) is 4.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

The y-coordinate of the y-intercept is determined by computing  f(0) if the curve in question is supplied as y=f(x), y=f(x), etc. There is no y-intercept for functions that have an  value at x = 0.

The constant term a is the y-coordinate of the y-intercept if the function is linear and is written in slope-intercept form as  f(x)=a+bx"

To learn more about intercept :

https://brainly.com/question/25722412

#SPJ4

What is the area of the figure below​

Answers

Answer:

C

Step-by-step explanation:

area for the rectangle is 5x6=30

area for the triangle is 5x2/2=5

30+5=35

Answer:

35

Step-by-step explanation:

A=b*h

30=5*6

A=.5*b*h

5=.5*2*5

30+5=35

For C it's y= 1.5x and D is y=2/3x

Answers

y2-y1/x2-x1 = 75-30/50-20
= 45/30 = 1.5
y = 1.5 x
Answer is C

Answer:

y = 1.5x + 0 or y = 1.5x

Step-by-step explanation:

=> First lets find the slope:

Slope: Change in y / Change in x

Change in y = +15

Change in x = 10

Slope = 15/10 or 1.5

=> Now lets find the, y-intercept:

We know that y-intercept is the y-value when x = 0

So we can say:

y = 1.5x

y = 1.5(0)

y = 0

Therefore y-intercept = 0

Final equation: y = 1.5x + 0 or y = 1.5x

Hope this helps!

Makea is making smoothies. For every 4 cups of orange juice, she uses 3 tablespoons of yogurt. Which ratio of orange juice to yogurt is NOT equivalent to the ratio she wants to use in the recipe?
A-40:30
B-19:9
C-15:20
D-8:6

Answers

Answer: A ratio is a comparison of two or more values. To compare the ratios of orange juice to yogurt, we want to ensure that the proportion of orange juice to yogurt is the same in each ratio.

Option A is 40:30. To compare this ratio to the original ratio, we can convert the amounts in cups to tablespoons. 40 cups is equal to 320 tablespoons and 30 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 320 is not equivalent to 3.

Option B is 19:9. To compare this ratio, we convert the amount in cups to tablespoons. 19 cups is equal to 152 tablespoons of orange juice and 9 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 19 cups.

Option C is 15:20. To compare this ratio, we convert the amount in cups to tablespoons. 15 cups is equal to 120 tablespoons of orange juice and 20 tablespoons of yogurt. The proportion of orange juice to yogurt is not the same as the original ratio since 4 cups of orange juice is not equal to 15 cups.

Option D is 8:6. To compare this ratio, we convert the amount in cups to tablespoons. 8 cups is equal to 64

Step-by-step explanation:

Given the point (4,2), what is the image point if it is reflected over the x-axis?

Answers

Answer:

(4,-2)

Step-by-step explanation:

Someone, please help me with this.
Correct answers get brainiest

Answers

Answer:

3

-3

sqrt(9)

-sqrt(9)

Step-by-step explanation:

What number multiplied by itself will give you 9

3*3 =9

-3*-3 =9

sqrt(9) * sqrt(9) = sqrt(81) = 9

-sqrt(9) * -sqrt(9) = + sqrt(81) =9

Answer:

[tex] 3[/tex]

[tex] - 3[/tex]

[tex] \sqrt 9[/tex]

[tex] - \sqrt 9[/tex]

Step-by-step explanation:

[tex] {x}^{2} = 9 \\ \\ x = \pm \sqrt{9}\\ \\ x = - \sqrt{9}, \:x = \sqrt{9}\\ \\ x = - {3} \: \: x = {3} [/tex]

Related questions:
find the product by calculation
a. 5× 1/9
b. 2× 3/5
c. 1/7× 1/4
d. 3/4× 2/5​

Answers

Answer:

a. 5/9

b. 1 1/5

c . 1/28

d. 3/10

Step-by-step explanation:

Related questions:

find the product by calculation

a. 5× 1/9

= 5/9

b. 2× 3/5

= 6/5 = 1 1/5

c. 1/7× 1/4

= 1/28

d. 3/4× 2/5​

= 6/20

= 3/10

How do you solve 5 v 29?

Answers

To solve the equation 5 = v + 29, you can subtract 29 from both sides of the equation. This will isolate the variable on one side of the equation and allow you to find its value.

The given equation is

5 = v + 29

Subtract 29 from both sides:

5 - 29 = v + 29 - 29

-24 = v

So the solution is v = -24.

So, we subtract 29 from both sides of the equation, this operation cancels out the addition of 29 from the variable v, and we get -24 = v. This means that -24 is the value that makes the equation true.

--The question is incomplete, answering to the question below--

"How do you solve 5 = v + 29?"

To know more on equation

https://brainly.com/question/12788590

#SPJ4

The number of pages in an Algebra 1 book is 99 less than the number of pages in a geometry book. Write and solve an equation to find the number n of pages in the geometry book. (big ideas)

Answers

On solving the provided question we can say that *629 = n - 99 is an equation. The textbook contains 728 pages*.

What is equation?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

In other words, the geometry book is 99 pages LONGER than the algebra book, which is 99 pages SHORTER. The solution can be obtained using this equation. I'm sorry, but 530 is not the solution.

629 = n - 99 is an equation. The textbook contains 728 pages*.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

Finding the volume of a cylinder

Answers

Step-by-step explanation:

Here

Radius=r=2.1mHeight=h=6.3m

[tex] \sf \: volume_{(Cylinder)} {\gray{\begin{cases} \sf \rightarrowtail \: \pi {r}^{2}h \\ \sf \rightarrowtail \: 3.14 \times {(2.1)}^{2} \times 6.3 \\ \sf \rightarrowtail \: 3.14 \times 4.41 \times 6.3 \\ \sf \rightarrowtail \: 87.23 \\ \sf \rightarrowtail \: 87.2 {m}^{3} \end{cases}}}[/tex]

this is an integration question.

Answers

Answer:[tex](1,1),\ \dfrac{1}{3}[/tex]

Step-by-step explanation:

Given

Equation of the curves are [tex]y=x^2,\ y^2=x[/tex]

The intersection of the curve is

[tex]\Rightarrow y^4-y=1\\\\\Rightarrow y(y^3-1)=0\\\\\Rightarrow y=0,1\\[/tex]

So, x coordinates are [tex]x=0,1[/tex]

points of intersection are[tex](0,0),(1,1)[/tex]

So, the area bounded between the curves

[tex]\Rightarrow I=\int_{0}^{1}\left ( \sqrt{x}-x^2\right )dx\\\\\Rightarrow I=\int_{0}^{1}\sqrt{x}dx-\int_{0}^{1}x^2dx\\\\\Rightarrow I=\left ( \frac{2}{3}x^{\frac{3}{2}} \right )_0^1-\left ( \frac{1}{3}x^3 \right )_0^1\\\\\Rightarrow I=\frac{2}{3}\left ( 1-0 \right )-\frac{1}{3}\left ( 1^3-0 \right )\\\\\Rightarrow I=\frac{2}{3}-\frac{1}{3}\\\\\Rightarrow I=\frac{1}{3}[/tex]

The area bounded by them is [tex]\frac{1}{3}[/tex]

A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Determine the percentage rate for this loan?

Answers

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

3 3/5 divided by 2 1/2

Answers

Answer:

ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

ahhhhhhhhhhhhhhhhhhhhhhhhh

answ

Answer:

Use this link

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/mixednumbers.php copy and paste

[ 36 + ( 3 × 2 ) ] ÷ 6

Answers

Answer:

7

Step-by-step explanation:

[36 + ( 3 × 2 ) ] ÷ 6 = 7

Answer:

7

Step-by-step explanation:

[ 36 + ( 3 × 2 ) ] ÷ 6

= [ 36 + 6 ] ÷ 6

= [ 42 ] ÷ 6

= 7

Is the line y 5 horizontal or vertical?

Answers

According to the following graph, the for the expression y = 5 is horizontal.

The term graph in math is known as the set of vertices and a binary relation between vertices, adjacency.

Here we have given the expression y = 5.

Now, we have to plot these expression on the graph, then we get the following graph.

Through the given graph, we have identified that the expression makes the horizontal line on the graph.

Here we also know that if the equation of a line is y = 5, then it is a horizontal line.

Here we know that the line is parallel to the x-axis and passes through the point y = 5 at the y-axis.

To know more about Graph here.

https://brainly.com/question/17267403

#SPJ4

Other Questions
The lower the temperature of the solvent, the faster the solute will dissolve. True False What event happened in April of 1917 that changed the direction of World War I?O The United States entered the war.O Germany defeated Britain and France.O Russia re-entered the war.O Mexico attacked the United States. Can someone please help me on this & Ill reward you afterwards A protective tariff intended to protect the The sum of three consecutive odd numbers is 69. Find the numbers of P is the largestnumber What is undecidable language? Janna is a salaried nonexempt employee in Laramie, Wyoming, who earns $25,100 per year for a standard 40-hour workweek and is paid biweekly. She is single with one withholding dependent. During the last pay period, she worked 5 hours of overtime. She contributes 2% of her gross pay to her 401(k) on a pre-tax basis and has a garnishment of 10% of her disposable income for a consumer credit garnishment. What is her net pay Despite the different levels of accountability that exist in the layers of an organization, it is the information security officer (CISO) that has the main responsibility of establishing and escalating noncompliance to the senior leadership.a. Trueb. False Which of the following contributed to the GreatDepression? (Select all that apply.)Overproduction of cropsBuying on creditPoor banking policiesStock market speculationThe end of World War IThe election of Herbert Hoover(I selected all of them and got it wrong, what else could it be?) Read Question On PNG How many centimeters are equal to 0.6 inches? Enter your answer as a decimal and round to the nearest hundredth. Under which condition is the sample proportion, , a point estimate of the population proportion?A. The sample size, n, is small enough.B. The sample represents a proportion of the population.C. The sample proportion is unbiased.D. The sample proportion is never a point estimate of the population proportion. Review this sentence: Annie found a marble in her purse. The name of the grammatical morpheme for found is _____: A. Irregular past tense B. Regular third person singular C. Regular past tense D. Regular plural E. Irregular third person singular In eukaryotic cells the organelles are said to be please I really need help this is being timed please I need to do is find the volume of the composite figures please I really need help Write and solve an equation to find the value of x. which sport pulled from the 2012 and 2016 olympic games is returning for 2021 at the insistence of japan? A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the familys paddling speed in still water. Let s equal the families paddling speed and c represent the currenta.s + c = 2.75s - c = 1.52.125 mi/hc.s + c = 2.75c - s = 1.5.60 mi/hb.2.75s = c1.5s = c1.725 mi/hd.2.75c = s1.5c = s30 mi/h When President Obama tried to influence the economy by cutting taxes and increasing government spending, he was applying ___ . Question 1 of 17Which Union goal during the Civil War is best reflected in this passage fromthe Gettysburg Address?We here highly resolve that these dead shall not have diedin vain-that this nation, under God, shall have a new birthof freedom-and that government of the people, by thepeople, for the people, shall not perish from the earth.A. Ending the war through diplomacy instead of fightingB. Making sure that the United States did not break apartC. Punishing the South for seceding from the unionD. Abolishing slavery throughout the United StatesSUBMIT