a= 5.2 B=70

Work out the area of the triangle. Round your answer to 1 DP

A= 5.2 B=70Work Out The Area Of The Triangle. Round Your Answer To 1 DP

Answers

Answer 1

Answer:

8.7

Step-by-step explanation:

Calculate the area of the triangle by using sine.

Area of Triangle

[tex]A = \frac{1}{2} \times \text{side} \times \text{side} \times \sin{\theta}[/tex]

θ ... included angle between the two sides

We already have two sides a and another side which is congruent to a, making it isosceles triangle. But we don't have the included angle. The angle we need is the vertex angle of the isosceles triangle. Angle B is one of the base angles (two base angles are congruent) and it measures 70°.

Recall that angles in any triangle add up to 180°.

base angle + base angle + vertex angle = 180°

70° + 70° + vertex angle = 180°

vertex angle = 40°

Now we have all the information to use the formula!

[tex]A = \frac{1}{2} \times \text{side} \times \text{side} \times \sin{\theta}[/tex]

[tex]A = \frac{1}{2} \times 5.2 \text{ cm} \times 5.2 \text{ cm} \times \sin{40^\circ}[/tex]

[tex]A = 13.52 \text{ cm}^2 \times \sin{40^\circ}[/tex]

[tex]A \approx 8.6904 \text{ cm}^2[/tex]

Rounded to 1 DP:

[tex]A = 8.7 \text{ cm}^2[/tex]


Related Questions

1. There are 46 students in the orchestra and twice that number in the band. There are 34
boys and 23 girls in the choir. If each student only participates in one group, how many
students total are there in the orchestra, the band, and the choir?

Answers

The total number of students in the orchestra, the band, and the choir is 195

Determining the number of students

From the questions, we are to determine how many students in total are in the orchestra, the band, and the choir

From the given information,

There are 46 students in the orchestra and twice that number in the band.

Thus,

Number of students in the orchestra = 46

Number of students in the band = 2 × 46 = 92

And

There are 34 boys and 23 girls in the choir

∴ Number of students in the choir = 34 + 23 = 57

Then,

The total number of students in the orchestra, the band, and the choir = 46 + 92 + 57

Total number of students in the orchestra, the band, and the choir = 195

Hence, the total number of students in the orchestra, the band, and the choir is 195

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(01.07)
Solve for x: the quantity of x plus 4 over 3 = 2. (1 point)

Group of answer choices

x = −2

x = 2

x = 2 over 3

x = negative 10 over 3

Answers

Answer:B

Step-by-step explanation:

"the quantity of can be ignored".

(x+4)/3=2

(x+4)=6

x=2

−−→
A
B
=
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x
y
)
What values should
x
and
y
take?
−−→
A
B
=
(
x
y
)
What values should
x
and
y
take?
Note: Each horizontal or vertical division represents one unit.
X=
Y=

Answers

Answer:

can u make it in a sentence cause I don't understand ur question

Answer:

i don't know

Step-by-step explanation:

Fiona recorded the mean math exam grade for six random samples of students from the entire seventh-grade class. Sample Sample Mean Grade 1 65 2 92 3 78 4 45 5 95 6 70 Why is a valid prediction for the mean of the population not possible using these samples?

Answers

The reason why Fiona cannot make a valid prediction based on the mean of the population is that the variation of Fiona’s samples is too large.

Why can't Fiona use the means she recorded?

Mean is quite sensitive to outliers so it is best used when the variation between variables is not too much.

In Fiona's case, there variation is quite high with high variable of 95 compared to a low value of 45.

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Answer: just confirming/

Step-by-step explanation:

he proportion used to find the average number of trout you would expect to live in the pond is

7
20
= x
400
.

Solve the proportion to find the expected number of trout in the population.

The expected number of trout in the population is

Answers

im doing this for points :)(

Find the volume of the cone shown below. 20 16 12

Answers

There is no picture but it’s 768 π

What is the average rate of change for this quadratic function for the interval
from x=-5 to x = -3?
-10
10
A. -16
B. -8
C. 8
D. 16
x4

Answers

The average rate of change of the function at the interval is -8

How to determine the average rate of change?

The table that completes the question is added as an attachment


From the table, we have:

f(5) = -26

f(3) = -10

The average rate is then calculated as:

Rate = (f(5) - f(3))/(5 -3)

This gives

Rate = (-26 + 10)/(5 -3)

Evaluate

Rate = -8

Hence, the average rate of change of the function is -8

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In the figure, AB and CD are common tangents to two circles of radii 5 cm with centres p
and S respectively and AB = 8 cm. Calculate the length of

Answers

Answer:

24 you used to write about something else

Answer:

Step-by-step explanation:

Write the equation of a line in slope-intercept form, that passes through the point (6,-4) and its parallel to the line y=3x-8

y=

Answers

Answer:

Step-by-step explanation:

We'll look for a line with the form of y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

A parallel line will have the same slope as the reference line,  For y=3x-8, the slope is 3.  We can write:

y =3x + b for the new line.  We need a value of b that will cause the line to include point (6,-4).  To find a b that will work, simple use the given point in the above equation and solve for b:

y =3x + b

-4 =3(6) + b  for (6,-4)

-4 =18 + b

b = -22

The parallel line that goes through point (6,-4) is y = 3x - 22

See the attached graph.

Which of the following equations is quadratic?

A) (x+3)(x+4)= 5
B) 5(4x+2) = 3
C) x(x^2+ 1) = 0

Answers

Option A is correct as if we solve the equation We will find that the above equation can be compared to the standard quadratic equation i.e ax^2+bx+c=0

Jun 07, 7:1
What is the volume of a cylinder, in cubic centimeters, with a height of 11 centimeters
and a base diameter of 6 centimeters? Round to the nearest tenths place

Answers

Answer:

311.0

Step-by-step explanation:

pi3^2(11)

pi r^2 (h)

Hope this helps! Let me know if you need anything else!

5 less than a number b is 16

Answers

Given :-

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: 5 < b = 6 \: \: \: or \: \: \: b - 5 = 6 } \\ \end{gathered}[/tex]

Solution :-

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b - 5 = 6 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b = 6 + 5 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow \: \: \underline{ \boxed{\mathbf \red{ \: \: b = 11 \: \: }}} \\ \end{gathered}[/tex]

Hence,

b is equal to 11 .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Additional information

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \small \color{blue}{ \underline{\boxed{ \begin{array}{cc} \small \underline{\underline{\bf{ \color{red}{{ \orange \bigstar \: MᴏʀE \: IᴅᴇɴᴛɪᴛɪᴇS \: \orange \bigstar}}}}} \\ \\ \: \frak{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }\:\\ \\ \: \frak{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }\:\\ \\ \: \frak{ {x}^{2} - {y}^{2} = (x + y)(x - y)}\:\\ \\ \: \frak{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}\:\\ \\ \: \frak{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}\:\\ \\ \: \frak{ {(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}\:\\ \\ \: \frak{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) }\:\\ \\ \: \frak{ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )}\: \\ \: \end{array} }}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \: \: [/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

^^

Overview Park has a picnic area and a playground, as shown in the diagram below. What is the area of the playground, in square feet?

Answers

Answer:

Hi,

Step-by-step explanation:

The playground 's area is the difference of 2 squares:

20²-10²=(20+10)*(20-10)=30*10=300 (ft²)

The park is 67 square feet from
The playground

find the value of a 3a+2b=8 and b=-2

Answers

Answer:

The value of a in the given equation is '4'

Step-by-step explanation:

The given equation is: 3a + 2b = 8 and b = -2

Plug the value of b into the formula:

3a + 2(-2) = 8

3a - 4 = 8

We want 3a by itself so we will add +4 to both sides:

3a - 4 + (4) = 8 + (4)

3a = 12

Divide both sides by 3 so a is by itself:

3a/3 = 12/3

1a = 4

a = 4

Please help i will give branliest please

Answers

Answer:

The answer is 18,700

Step-by-step explanation:

if you add 9,500+ 9,000 you get 18,500 add 200 and your answer is 18,700

PLEASE HELP
This Box-and-Whisker Plot is based on how many points a basketball player scored in a set of games.

In what percent of games did the player score more than 25 points?

Answers

Answer:

27.778%

Step-by-step explanation:

30-12= 18

numbers greater than 25 = 5

5/18 =26.778%

Answer:

A 25%

Step-by-step explanation:

hope this helps

Find the value of x. 5 8 120 120 120 5 5 x = [?]​

Answers

This is the answer to your question. x=8

given triangle ABC what is the measure of angle A?

Answers

Answer:

I do not know the answer but I will just waffle to you

Step-by-step explanation:

540 divided by 3 equals 180 divided by 3 equals 60 then divide it by 3 again and you'll get the answer

Please solve this ASAP!!!

Answers

Hillbilly crazy boy go wild

solve pls brainliest

Answers

Step-by-step explanation:

(−424.9) × (-0.1) = 42.49

2.7 × (−0.5) = -1.35

Answer: Heyaa! ~

Your Answers when Multiped are...

42.49 -1.35

Step-by-step explanation:

-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35

     - Multiplied. -

 Hopefully this helps you! ~

write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)

Answers

Answer:  [tex]y = -\dfrac{4}{3} x +3[/tex]

In order to find equation, first find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]

Given points: (-3, 7) and (6, -5)

[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]

Equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

insert values

[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]

If you buy a ticket, what is the
Probability that your ticket will have the winning numbers?

Answers

It truly depends on the ticket you got.

Toby has $70 saved.He is saving $15 more each week.In how many weeks will he have $280 saved to buy the new skateboard he wants?

Answers

Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Someone, please help! I'm really confused

Answers

The correct pair is option E, which is:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

What is the SAS Congruence Theorem?

The SAS theorems states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent included angles.

What is the Reflexive Property?

The reflexive property of geometry states that an angle or line will always be congruent to itself.

In the two column-proof, since FH = FH using the reflexive property, then both triangles are congruent to each other by the SAS congruence theorem.

The missing pair of reasons that completes the proof are:

FH ≅ FH - reflexive property

ΔGFH ≅ ΔEFH - SAS theorem

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math i will give a lot of points

−5 1/2 −2 1/3

Answers

Answer:

-7 1/6

Step-by-step explanation:

Subtract the whole numbers first.

-5-2 = -7

Now the fractions:

1/2 and 1/3

We need to find a common denominator. It's 6.

So,

for 1/2 multiply the numerator and denominator both by 3. You get 3/6.

Now 1/3:

Multiply 1 and 3 with 2. you get 2/6.

Subtract:

3/6-2/6=

1/6

Putting whole number and fraction togethr: -7 1/6

At a school dance, tickets are sold at the door and each ticket is the same price. the amount of money the school makes from the dance is equal to the total amount of money collected from ticket sales minus the total cost of the dj and decorations. for this dance, the total cost is fixed and is not dependent on the number of tickets sold. if 75 tickets are sold, the school loses $150. if 100 tickets are sold, the school makes $100. what is the total cost of the dj and decorations?

Answers

Answer:

$900

Step-by-step explanation:

x = the cost of the tickets

y = the cost of dj & decorations

In the first situation, the profit of -$150 = 75x - y

In the second situation, the profit of $100 = 100x - y

Using the first situation, we isolate y as follows:

-150 = 75x - y

Add y to each side: y-150 = 75x

Add 150 to each side to isolate y

y = 75x + 150

Use this formula in the second situation in place of the y

Original formula: 100 = 100x - y

With substitution: 100 = 100x - (75x + 150)

Simplify to: 100 = 25x - 150

Add 150 to both sides: 250 = 25x

Divide both sides by 25: 10 = x

Input the 10 in for x in either formula above

-150 = 75(10) - y

-150 = 750 - y

Add y to both sides

y - 150 = 750

Add 150 to both sides

y = 900

A. g(x) = 2(x3 + 4)
B. g(x) =
(x3 + 4)

C. g(x) = 2x3 + 4
D. g(x) =x3 + 4

Answers

Answer: C. [tex]g(x)=2x^3+4[/tex]

Step-by-step explanation:

When the coefficient gets larger, the graph will stretch more, getting closer to the y axis.

The answer would be c that’s my guess I’m sorry if that wasn’t the answer but I tried my best to answer it

Over what interval is the quadratic function decreasing?
*€ (-2,00)
*€ (-∞, -2)
Ο τε(-2,-00)
# € (-∞0,3)

Answers

Answer:

1 is e(200) . 2 is e(-2) . 3 is O te(-02) . 4is # e(30) .


Identify the range of the function shown in the graph.

Answers

The range of the function shown in the graph are all real numbers.

What is the range of a function?

The range of a function is the set of its possible output values.

The range of a function are the dependent variables.

In other words, the range of a function is the complete set of all possible resulting values of the dependent variable (y), after we have substituted the domain or independent variable.

According to the values of y on the graph the range are all real numbers.

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HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

5,6

Step-by-step explanation:

2+8=10/2=5

3+9=12/2=6

5,6

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