ABCD is a Trapezium, Work out the size of angle CDA to one decimal place

ABCD Is A Trapezium, Work Out The Size Of Angle CDA To One Decimal Place

Answers

Answer 1

Answer:

CDA≈27,6°

Step-by-step explanation:

First we solve the x using pythagorean theorem

a^2+b^2=c^2

x^2+6^2=6.5^2

x^2+36=42.25      ||-36

x^2=42.25-36

x^2=6.25               ||√

√x^2=√6.25

x=2.5cm

now we can solve y

y = 23cm-9cm-2.5cm

y=11.5cm

now we can solve CDA angle with tanα

tanα=[tex]\frac{a}{b} \\[/tex]

tanα=6cm/11.5cm

α≈27,6°

ABCD Is A Trapezium, Work Out The Size Of Angle CDA To One Decimal Place
ABCD Is A Trapezium, Work Out The Size Of Angle CDA To One Decimal Place

Related Questions

fhh earns 8 dollars per hour how much will he earn in 3/4 of an hour

Answers

Answer:

5.625

Step-by-step explanation:

3/4 of an hour is 45 minutes so if you divide 45 by 8 you will get 5.625

a business woman bought a refrigerator from manufacturer for $1378. Calculate the selling price if she makes a profit of 17.5 precent​

Answers

241.15 im so sorry if its incorrect, hope it helps you tho!

Answer:

= 1619.15

Step-by-step explanation:

Hope this is correct :)

The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?

Answers

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

We have given in the question that,

The sum of 2 numbers is equal to 11 The difference between two numbers is 19 .

[tex]\bold{\underline{ To \: Find }}[/tex]

We have to find the value of x and y.

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Let the two numbers be x and y

According to the question,

[tex]\sf{ x + y = 11......eq(1) }[/tex]

[tex]\sf{ x - y = 19......eq(2) }[/tex]

Solving eq( 1 ) we get :-

[tex]\sf{ x + y = 11 }[/tex]

[tex]\sf{ x = 11 - y ......eq(3 ) }[/tex]

Subsituting eq(3 ) in eq(2) :-

[tex]\sf{ x - y = 19 }[/tex]

[tex]\sf{ ( 11 - y) - y = 19 }[/tex]

[tex]\sf{ 11 - y - y = 19 }[/tex]

[tex]\sf{ 11 - 2y = 19 }[/tex]

[tex]\sf{ - 2y = 19 - 11 }[/tex]

[tex]\sf{ - 2y = 8}[/tex]

[tex]\sf{ y = 8/(-2) }[/tex]

[tex]\sf{ y = - 4 }[/tex]

[tex]\sf{\red{Thus ,\: the\: value\: of \: y = -4}}[/tex]

Now, Subsitute the value of y in eq( 3 ) :-

[tex]\sf{ x = 11 - y }[/tex]

[tex]\sf{ x = 11 - (-4 ) }[/tex]

[tex]\sf{ x = 11 + 4 }[/tex]

[tex]\sf{ x = 15 }[/tex]

Hence, The value of x and y are 15 and (-4) .

Five pens cost £3.25. What is the cost of 9 pens?​

Answers

Answer:

3.25/5*9= 5.85

Step-by-step explanation:

3.25euros divided by 5pens times 9pens= 5.85euros

There is a pair of parallel sides in the following shape.

What is the area of the shape?

Answers

Answer:

Parallelogram

Step-by-step explanation:

Please mark me as brainliest

A Choir has
30 total members.
14 are boys.
How many are girls?
Choose the answer that shows the ratio of boys to girls in simplest form.
8
-10 12
о
8
15
o
7
15

Answers

Answer:

there are 12 boys because 32/8 =4 and the ratiots 3 to 8 which means you need to multiply 3 by 4 which gives you 12

Step-by-step explanation:

select all numbers that are rational
a. 8.23234231
b. 1/23
c. 5.12121212
d. -0.129
e. -0.9
f. 4.62

Answers

Answer:

All the numbers are technically, rational.

Step-by-step explanation:

Eighty percent of students in your school own a bike. Of a sample of students in your school, the ratio of students who own a bike to students who do not own a bike is 8 : 2. Does the sample closely estimate the percentage of students in your school who own a bike? yes or no

Answers

Answer:

Yes, the sample's estimation about the percentage is accurate.

Answer:

yes

Step-by-step explanation:

It does because 10 would be 100% 8 is 80% and 2 is 20% that is why it closely estimates the percentage.

I WILL MARK BRAINLIEST 25 POINTS!!What is the value of the expressionshown below? . ( 2/3)^2+ 5 x 2 - 4​

Answers

The value of (2/3)^2+5 x 2 - 4 is 256x/2187 - 4

Answer:

x=4

Step-by-step explanation:


Hurrryy

A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the
bag
What is the probability that the marble drawn will not be blue?
19
o
الات

Answers

Add up to get the total number of marbles: (8 + 6 + 12 + 10) = 36

Then subtract the number of blue marbles from the total amount of marbles: 36 - 8 = 28.

28 signifies the amount of marbles that are NOT blue.

So the probability is: 28/36 = 0.77 = About 77%

The final answer is 7/9.

divide the following. Put your answer in scientific notation.
(77) ÷ (4.9 × 10²)

Answers

Answer:

The  answer is 0.1571428 I think

does this graph represent a function? why or why not?

Answers

Answer:

D. Yes, because it passes the vertical line test

Step-by-step explanation:

the vertical line test is a test you do by drawing a vertical line through the graph of the function if more than one point from the function lies on the line it does not represent a function

in this graph at any part if you draw a vertical line it passes through one point only

Answer:

Okay so what you need to know here is for a graph to be considered a function it has to pass the vertical line test. This means that if a vertical line is moved across the graph and touches the graph at only one point, then it is considered a function. But if the vertical line touches the graph at more than one point, then it is not considered a function.

Step-by-step explanation:

But for this graph, I know it wouldn't be A, B, or C...... This is because this  and it touches the graph at only one point. We know the graph has to pass the vertical line test to be a function. But we can see here that it does because on the graph it only touches one point as you can see in that attachment. So, It would be D.... I'm pretty sure it is D though. Sorry if it's wrong. I tried to do what I could bcs I'm not really good at math lol

Please mark as brainliest pls and I have attached of graphs that pass the vertical line test to help you understand it better!

A regular polygon has 40 sides.
Find the size of each of its interior angles.

Answers

An interior angle of a polygon is found by subtracting 2 from the number of sides, multiplying that by 180 And then divide by the number of sides:


40-2 = 38

38 x 180 = 6840

6840/40 = 171

Answer : 171 degrees

Kindly solve my question

Answers

Answer:

(a) AA Similarity using alternate interior angles

(b) 6.3

Step-by-step explanation:

(a)

Triangles ABD and BDC have a given pair of congruent angles, angles ABD and BCD.

With parallel lines AB and DC and transversal BD, then alternate interior angles ABD and BDC are congruent.

Now we have two pairs of congruent corresponding angles, so by AA Similarity, triangles ABD and BDC are similar.

(b)

Triangles ABD and BDC are similar.

The ratios of the lengths of corresponding sides are equal.

AB/BD = AD/BC

4/6 = 4.2/BC

4BC = 6 × 4.2

BC = 6.3

Brita cuts a block of wood along the red line. When she looks at the newly
exposed face, what is the shape of the cross-section?
6 in
4 in
8 in
O A. A rectangle, 4 inches by 6 inches
O B. A rectangle, 8 inches by 6 inches
O C. A square, 4 inches by 4 inches
O D. A rectangle, 8 inches by 4 inches

Answers

Answer:

D is the answer

Step-by-step explanation:

because only the hight is changing not leanth or breath

The shape of the cross-section is rectangle, 8 inches by 4 inches.

What is Surface Area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface.

Now, from the figure we cut the figure from red line.

As the figure is a three dimensional figure called Cuboid.

We know that cuboid is formed by rectangle surfaces.

Then, the shape of the cross-section is Rectangle whose length is 8 inches and width 4 inches.

Learn more about Surface area here:

https://brainly.com/question/29101132

#SPJ7

HELP AND HURRY UP pleas

Answers

Answer:

I believe the answer is 0, -1

Helped by QueenTLoveHave an nice day

what is -2 1/3 - (-5) =?

Answers

Answer:

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

Given the following question:

[tex]-2\frac{1}{3} -(-5)[/tex]

To find the answer to this question we will use KCF (Keep, Change, Change) because we are subtracting from a negative. Then we find the common denominator and subtract the numerators.

[tex]-2\frac{1}{3} -(-5)[/tex]
[tex]-5=\frac{-5}{1}[/tex]
[tex]-2\frac{1}{3} =3\times-2=-6+-1=-7=\frac{-7}{3}[/tex]
[tex]\frac{-7}{3} -\frac{-5}{1}[/tex]
[tex]\frac{-7}{3} \times1=\frac{-7}{3}[/tex]
[tex]\frac{-5}{1} \times3=\frac{-15}{3}[/tex]
[tex]\frac{-7}{3} -\frac{-15}{3}[/tex]
[tex]-7+15=\frac{8}{3} =8\div3=2\frac{2}{3}[/tex]
[tex]2\frac{2}{3}[/tex]

Hope this helps.

1. 14=7b
2. -11=k/4
3.6z=-6

Answers

Answer:

the anwer is 14-2294-dhi2

Step-by-step explanation:

Because 14 is - 4 you multiple to 5 equal= dhi2

A section of fence is 2 feet wide. How many sections are needed to make a 9 foot fence?

Answers

Answer:

2 feet times nine equals 18

A piece of rural land sold ten years ago for $40,000. This year, the same piece of land can sell for $60,000. If the price increase is $800 per acre, what is the size of the piece of land in acres??

Answers

well, the price difference is 60000 - 40000 = 20000.

so, we're told that the price increase acres wise is 800 bucks per acre, but we also know it's a total of 20000, so how may times does 800 go into 20000?

20000 ÷ 800 = 25.

so we know that in 20000 bucks there are 25 acres, so how many will there be in 60000 bucks?

[tex]\begin{array}{ccll} \$&acres\\ \cline{1-2} 20000&25\\ 60000&x \end{array}\implies \cfrac{20000}{60000}=\cfrac{25}{x}\implies \cfrac{1}{3}=\cfrac{25}{x}\implies \stackrel{acres}{x=75}[/tex]

Answer:i have no idea!

Step-by-step explanation:

Please help me solve this problem -5= -32 please and thank you

Answers

Answer: false

Step-by-step explanation:  Compare -5 and -32. They do not equal each other.

1) A wallet is full of $5 and $10 bills. He has a total of 25 bills and a total of $230. How many of each bill do you have? ​

Answers

Answer:

6 $5 dollar bills, and 20 $10 dollar bills

Step-by-step explanation:

Find the area of the triangle then round the answer to the nearest tenth (please help!!!)

Answers

Answer:

A = 2298.48

Step-by-step explanation:

The right triangle with the 35angle. you need to find the height of that triangle which is the adjacent side and the opposite side is 44

tan 35° = opposite/ adjacent

[tex]tan 35 = \frac{44}{x}[/tex]

[tex]tan 35(x) = 44[/tex]

[tex]x = \frac{44}{tan 35}[/tex]

x = 62.83  ≈ 62.8

Using the 25° angle, you have the height which is 62.8 and looking for the side opposite the 25° angle.

So  tan 23° = x/adjacent side

[tex]tan 25= \frac{x}{62.8}[/tex]

[tex]tan 25(62.8)= x[/tex]

29.28 ≈29.2                A = 1/2bh ;  A = 1/2 (44 + 29.2)(62.8) ;  A = 2298.48

Is it possible to draw a triangle with angles 150, 20 and 50

Answers

Answer:

no

Step-by-step explanation:

because the sum of the angles of a triangle should = 180, and adding these numbers together give  a greater result of 220 degrees

D
48°
C
61°
A
B
Find the measure of ZABD

Answers

Answer:

119

Step-by-step explanation:

Angle ABD and angle DBC are supplementary so their sum is equal to 180

therefore to find the measure of ABD we subtract 61 from 180

<ABD = 180 - 61

<ABD = 119

In a sampler box of candy there are 20 mints, 10 fudges and 20 toffees. ​ ​A sweet is taken at random from the packet. ​What is the probability that it is fudge? ​ ​Write the answer as a percentage.

Answers

Answer:

98%

Step-by-step explanation:

have a great day

Answer:

2% chance.

Step-by-step explanation:

20 + 20 + 10 equals 50. 1 divided by 50 equals 0.02, which is 2 percent.

Triangle DEF contains right angle E. If angle D measures 55° and its opposite side measures 7.6 units, what is the measure of side
DF? Round your answer to the nearest hundredth.

A. 5.34 units
B. 6.38 units
C. 9.06 units
D. 9.28 units

Answers

Answer:

D. 9.28 units

Step-by-step explanation:

DF is the hypotenuse of the triangle.

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b}[/tex]

[tex]\implies \frac{sin(55)}{7.6} =\frac{sin(90)}{DF}[/tex]

[tex]\implies DFsin(55) =7.6sin(90)[/tex]

[tex]\implies DF =\frac{7.6sin(90)}{sin(55)}[/tex]

[tex]\implies DF =9.277886875...[/tex]

[tex]\implies DF =9.28\ \textsf{units (nearest hundredth)}[/tex]

Compare the shapes of the two distributions from Louise and Aiden’s experiments.

Answers

To compare the shapes of the distributions from the experiments, a z-test can be used.

What is a z-test?

Your information is incomplete as the distributions aren't given. Therefore, an overview will be given. It should be noted that a z-test is a statistical test that's us used to determine if the means of two population are different when their variances are known.

Z-tests simply test the mean of a distribution. To compare the distributions, the error in the mean will be calculated by dividing the dispersion by the square root of the number of data points.

Learn more about z-test on:

https://brainly.com/question/15728178

PLEASE HURRY AND GET THE ANSWER CORRECT I WILL MARK BRAINLIST
Evaluate and simplify the following complex fraction.
3/8/1/-7
screenshot below

Answers

Answer:

[tex]\cfrac{\frac{3}{8} }{\frac{1}{-7} } =\cfrac{3}{8} \times -\cfrac{7}{1}[/tex]

[tex]=\cfrac{-21}{8}[/tex]

[tex]=-2\cfrac{5}{8}[/tex]

Hope this helps u! :)

[tex]\\ \rm\rightarrowtail \dfrac{3/8}{1/-7}[/tex]

[tex]\\ \rm\rightarrowtail 3/8\div 1/-7[/tex]

[tex]\\ \rm\rightarrowtail 3/8\times -7[/tex]

[tex]\\ \rm\rightarrowtail -21/8[/tex]

[tex]\\ \rm\rightarrowtail -2\dfrac{5}{8}[/tex]

- 19/20 divided by .45

Answers

-2.1 should be it, sorry if its wrong!

Answer:

2.11 Repeating

Step-by-step explanation:

Hope is right

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