Answer:
x= 14.8
Step-by-step explanation:
√12²+8²= 4√13
56.3= sin-¹(12/4√13)
tan56.3= 21.6/4√13
x+8= √21.6²+4√13²
x= 14.8
Using Angle Relationships to Solve Equations
Answer:
x+x+4+3x-9=90
5x-5=90
5x=95
x=19
9. 19
10. 19+4=23
11. 3×19-9=48
Polynomials are written with the exponents of the terms in_____order.
Answer:
descending order, meaning standard form.
Step-by-step explanation:
Ex: x^2-5x+2
or
Ex: 2x^3 -5x^2 -2x +3
tell me if it doesn't make sense
PQ and QR are 2 sides of a regular 12-sided polygon.
PR is a diagonal of the polygon.
Work out the size of angle PRQ.
You must show your working.
The size of the angle m∠PRQ for the polygon is equal to 15°
How to calculate for the angle PQR using interior angle of the polygonTo calculate the sum of interior angles of a polygon, you can use the following formula:
Sum of interior angles = (n-2) x 180 degrees
Where "n" represents the number of sides (or vertices) of the polygon.
Given the 12 sided polygon;
(12 - 2) × 180 = 1800
one interior angle = 1800/12 = 150°
The angle PQR is a base angle of the Isosceles triangle ∆PQR with one interior angle of the 12-sided polygon so;
m∠PRQ = (180 - 150)/2
m∠PRQ = 15°.
Therefore, the size of the angle m∠PRQ for the polygon is equal to 15°
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Find the value of x. If necessary, round your answer to the nearest tenth. The
figure is not drawn to scale.
Answer:
18.8 you are right
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If two chords intersect in a circle, then (product of segments of Chord 1) = (product of segments of Chord 2)
=> 8 × 15 = 10 × x
=> x = 8 × 15 ÷ 10
=> x = 12
Anthony wants to find the value of k for which given points W(0,-2), I(2,0) and L(5,k) are collinear
A. K=-3
B. K=1/3
C. K=1/2
D. K=2
E. K=3
F. K=-1/3
Given:
The three points are W(0,-2), I(2,0) and L(5,k).
To find:
The value of k for which the given points are collinear.
Solution:
We know that, three points are collinear if the area of the triangle formed by these three points is 0.
[tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|=0[/tex]
[tex]x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0[/tex]
The three points are W(0,-2), I(2,0) and L(5,k). So,
[tex]0(0-k)+2(k-(-2))+5(-2-0)=0[/tex]
[tex]0+2(k+2)+5(-2)=0[/tex]
[tex]2k+4-10=0[/tex]
[tex]2k-6=0[/tex]
Adding 6 on both sides, we get
[tex]2k=6[/tex]
[tex]k=\dfrac{6}{2}[/tex]
[tex]k=3[/tex]
Therefore, the correct option is E.
Copy and fill this table
To find a y term, find the absolute value of the x term (|x|).
Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).
Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.
Find the absolute value of each x term to find y:
x ⇒ y
-2 ⇒ 2
-1 ⇒ 1
0 ⇒ 0 (the absolute value of 0 is always 0)
1 ⇒ 1
2 ⇒ 2
I hope this helps!
Help easy 5th grade Math
Answer:
625 in3
Step-by-step explanation:
I cut the shape into two different shapes; square and rectangle
Square volume: 5 x 5 x 5= 125 in3
Rectangle volume: 20 x 5 x 5 = 500 in3
Total volume: 500 + 125 = 625 in3
Find the probability that first marble picked is green and second marble picked is red.
Write your result as a percentage.
Answer:
20%
Step-by-step explanation:
3 green, 1 brown, 2 red
3 + 1 + 2 = 6
Total: 6
The probability of picking a green one is 3/6 or 1/2.
———————————————————————
2 green, 1 brown, 2 red
2 + 1 + 2 = 5
New total: 5
The probability of picking a red one is now 2/5.
———————————————————————
First, we multiply them by each other.
2/5 x 1/2 = 1/5
Next, we convert 1/5 to a percentage to get our final answer.
1/5 x 20 = 20/100, which is 20%.
So our final answer is 20%.
Can anyone help? PLS I NEED THIS BY TOMORROW!!
Answer:5 or 5 degrees
Step-by-step explanation:
the box means 90 degree so if you divide 45 with 90 you get 2
2 divided by 10 = 5
Answer:
x = y = 10
Step-by-step explanation:
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
x = 10
Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then
x = y = 10
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.
Find the value of z.
Answer:
Use Pythagoras Theorem
Which choices are equivalent to the expression below? Check all that apply.
Answer:
it is 8
Step-by-step explanation:
Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.
Step-by-step explanation:
In Delta*F * G * H , the measure of angle H=90^ , the measure of angle F=24^ , and FG = 57 feet. Find the length of HF to the nearest tenth of a foot.
Answer:52.1
Step-by-step explanation:
adj/hyp= x/57
cos 24=x/57
57 cos 24=x
x=52.0721= 52.1 FT
Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches
Answer:
Yes, it makes a triangle.
Step-by-step explanation:
When I used a measuring stick, it does create a triangle.
Simplify. 8*2 + 2
Please
Answer:
Step-by-step explanation:
8 exponent 2 + 2 = 64 + 2 = 66
Answer:
8^2+2
=8*8+2 [8^2=8*8]
=64+2
=66
Step-by-step explanation:
The square of a number is equal to the number my multiplied by itself 2 times i.e. n*n=n^2. Using BODMAS (Brackets of Division, Muliplication, Addition and Subtraction), we should multiply 8 first, then add 2 to it.
in a restaurant, 4 out of every 12 customers order orange juice with there meal. What is the experimental probability that the next customer will oder orange juice with their meal.
Answer:
1/3 or 33%
Step-by-step explanation: Its a third
Answer:
4 + 12 = 16
Step-by-step explanation:
Convert 2 3/5 cups to pints.
Answer:
Decimal Form: 1.3
Exact Form: 13/10
Mixed Number Form: 1 3/10
Step-by-step explanation:
1 pint = 2 cups
Convert the mixed fraction into an improper fraction. 2 3/5 = 13/5 cups
You divide 13/5 by 2, since there are 2 cups in one pint, and you are trying to get pints. 13/5 divided by 2:
Decimal Form: 1.3
Exact Form: 13/10
Mixed Number Form: 1 3/10
There are 5 people at a party. They decide to share 3 ice cream sandwiches equally.
Which model shows how much of the ice cream sandwiches each person will get?
C.
D
Answer:
The answer should be B bc there is a fraction of 3 over 5
Hailey saved up $357.45 in her Piggy Bank. She decided that she wanted to use $97.99 to buy Roller skates and $50.00 to buy the Glow In the Dark flashing wheels. How much money will Hailey have leftover?
Answer:
209.46
Step-by-step explanation:
subtract $357.45, $97.99, and $50 and
you'll get $209.46
A rectangular lawn is 14 meters by 21 meters. It would cost $6.32 per meter to install a fence around
the lawn. How much would it cost to put a fence around the lawn?
$
Answer:
$442.40
Step-by-step explanation:
14x2=28
21x2=42
42+28=70
70x6.32=442.4
What is the equation of the trend line in the scatter plot?
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
Answer:
y = 7/5x - 21/5
Step-by-step explanation:
points to use to find slope: (3,0) and (8,7)
slope = 7-0 / 8-3
slope = 7/5
find y-intercept (or 'b')
0 = 3(7/5) + b
0 = 21/5 + b
-21/5 = b
b = -4 1/5
What is the answer to this question?
Answer:
240 in
Step-by-step explanation:
hope this helps :)
Find the mean of the following numbers: 17, 17, 15, 16, 18
Answer:
Mean: 16.6 | Median: 17 | Mode: 17
Step-by-step explanation:
I need help with this question pls
Answer: the third one
Step-by-step explanation:
can someone please help? :)
Answer:
The first step is to find the volume of the two hemispheres.
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]
Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.
Volume of sphere
[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]
[tex] = 2304\pi \: in^{3} [/tex]
Volume of solid
= volume of cylinder -volume of 2 hemispheres
Let's find the volume of the cylinder.
[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]
Volume of cylinder
[tex] = \pi( {12}^{2} )(24)[/tex]
[tex] = 3456\pi \: in^{3} [/tex]
Thus, volume of solid
[tex] = 3456\pi - 2304\pi[/tex]
[tex] = 1152\pi[/tex]
[tex] = 1152(3.14)[/tex]
[tex] = 3617.28 \: in^{3} [/tex]
Answer:
Solution :-Volume of solid = Volume of Sphere - Volume of cylinder
Volume = 4/3πr³ - πr²h
Volume = 4/3 • π • 12³ - π • 12² • 24
Volume = 4/3 • π • 1728 - π • 144 • 24
Volume = 4 • π • 576 - π • 3456
Volume = π(3456 - 2304)
Volume = π(1152)
Volume = 3619.11 in³
[tex] \\ [/tex]
The number of boys and girls in a class are in the ratio 5:4. If the
number of boys is 9 more than the number of girls, then number of
boys is 9
Answer:
no.of boys is 45
Step-by-step explanation:
here, let the number of boys and girls be 5x and4x
ATQ,
5x=4x+9
or,5x-4x=9
or,x=9
then, the number of boys is 9×5=45
and the number of girls is 9×4=36..
Someone answer this please
Answer:
-23/6=y
Step-by-step explanation:
3x-6y=11
3*-4-6y=11
-12-6y=11
y=-23/6
How many turning points are in the graph of the polynomial function?
a.) 4 turning points
b.) 5 turning points
c.) 6 turning points
d.) 7 turning points
5 turning points are in the graph of the polynomial function.
What are Turning point in graph?Turning points occur when a graph shifts from rising to dropping (rising to falling) or from decreasing to increasing (falling to rising). A polynomial of degree n can turn at most once, or n1.
The point on a parabola where the graph shifts from increasing to decreasing, or from decreasing to increasing, is known as the turning point of a parabola and is also known as the vertex. We refer to a graph as growing when it is rising from left to right.
Turning points are places on a graph where the direction of the line switches from upward to downward.
And from below to above.
We can see that graph is changing its direction at 5 different points and the points are
(-5,6) ,(-3,-3) ,(0.5,0.5) ,(3,2.5) ,(5,5)
Thus, there are 5 turning points.
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Please please help me
Answer:
b) 43 degrees
Step-by-step explanation:
Answer:
Choice B
Step-by-step explanation:
The bottom right angle is 80° since thats the value of its complement
Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°
Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.
The surface area of a sphere is 9\piπ cm2. What is the volume?
Answer:
[tex] \frac{9}{\pi} = 4 \times \pi \times {r}^{2} \\ {r}^{2} = \frac{9}{4 {\pi}^{2} } \\ r = \frac{3}{2\pi} \\ volume = \frac{4}{3} \times \pi \times {r}^{3} \\ v = \frac{4}{3} \times \pi \times \frac{27}{8 {\pi}^{3} } \\ v = \frac{9}{2 {\pi}^{2} } [/tex]