Answers
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
If you buy a ticket, what is the
Probability that your ticket will have the winning numbers?
Answers
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:
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
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:
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
write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)
Answers
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]
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)
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.
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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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 playground
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
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
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
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!
Find the value of x. 5 8 120 120 120 5 5 x = [?]
Answers
(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
Find the volume of the cone shown below. 20 16 12
Answers
−−→
A
B
=
(
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:
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
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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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
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) .
Please solve this ASAP!!!
Answers
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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HELPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
5,6
Step-by-step explanation:
2+8=10/2=5
3+9=12/2=6
5,6
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 -1.35Step-by-step explanation:
-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35- Multiplied. -
Hopefully this helps you! ~
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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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
5 less than a number b is 16
Answers
[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]
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^०^