Answer: θ = 48.2°
Step-by-step explanation:
The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3
[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\\\\\\\cos \theta=\dfrac{2}{3}\\\\\\\theta =\cos^{-1}\bigg(\dfrac{2}{3}\bigg)\\\\\\\theta = 48.1896[/tex]
rounded to three significant digits = 48.2°
The measure of angle theta is 48.2 degrees.
What is cosine of an angle?In a right angled triangle, the cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.
According to the given question
We have a right triangle
Let the be ABC in which ∠ACE = θ
And, AE is a perpendicular bisector so CE = 4/2
Now in right angled triangle ACE, the cosine of θ is given by
cosθ = length of the adjacent side/ hypotenuse
⇒ cosθ = [tex]\frac{CE}{AC}[/tex]
⇒cosθ = [tex]\frac{2}{3}[/tex]
⇒ θ = [tex]cos^{-1}( \frac{2}{3} )[/tex]
⇒ θ = 48.2 degrees
Hence, the measure of angle theta is 48.2 degrees.
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The expression 14s(s - 1) can be used to find
the total number of cards created by the ninth
grade students. Based on the given information,
which of the following statements must be true?
Select all that apply.
Answer:
B. The variable s represents the number of students in each class.
C. The coefficient 14 represents the number of classes in the 9th grade.
Step-by-step explanation:
The total number can be found by multiplying the number of the things with the number of people producing it. For example if 5 boys make 5 colored ropes the total number of ropes will be 5*5= 25.
In this question the combinations rule is used for variuos number of classes which are 14. Now we have to find the number of students which are s (s-1). Suppose s= 6 so the number of students would be 6(6-1) = 6(5) = 30
We will multiply the number of classes 14 with the number of students s(s-1) to get the total number of cards produced.
please help for math
Answer:
2.35 m²
Step-by-step explanation:
Divide the shape into shapes you can calculate the area of: a rectangle with a semi-circle on top, minus a square.
1. Calculate the area of the rectangle. Formula for area of a rectangle is length · width
1 m · 2 m = 2 m²
2. Calculate the area of the semi-circle. Formula for a semi-circle is [tex]\frac{\pi r^{2} }{2}[/tex] (use 3.14 for π) (radius is equal to half the diameter)
3.14(0.5)² = 0.785
0.785 ÷ 2 = 0.3925 m²
3. Combine the total area
2 + 0.3925 = 2.3925
4. Calculate the area of the square that will not be painted. Formula for area of a square is s² (side · side)
0.2² = 0.04 m²
5. Subtract the area of the square from the total area
2.3925 - 0.04 = 2.3525
2.3525 rounds to 2.35 m²
For what value of b makes this equation true? (Solve for b)
b +9 = -2
━━━━━━━☆☆━━━━━━━
▹ Answer
b = -11
▹ Step-by-Step Explanation
b + 9 = -2
-9 -9
b = -2 - 9
b = -2 + -9
b = -11
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
A. b = -11
Step-by-step explanation:
b + 9 = -2
Subtract 9 on both sides of the equation.
b + 9 - 9 = -2 - 9
b = -11
Simplify (x4y)3. help
Answer:
the answer would be. 12xy
Answer:
12xy
step-by-step explanation:
*ANSWER ASAP PLS* Lucy is covering a box with fabric for a craft festival. If the box is an 8-inch cube, how much fabric does she need? a.)252 sq.in. b.)384 sq.in. c.)240 sq.in.
Answer: b) 384 sq. in.
Step-by-step explanation:
Surface area of cube = 6a^2
= 6 (8)^2
= 6 x 64
= 384 sq. in.
I NEED HELP ASAP!!!!! WILL MARK BRAINLIEST!!!!!!
Answer: 16
Step-by-step explanation:
The 7 and the 9.
Look closely
A group of friends decide to buy bulk chocolate from a candy store. If some friends each want 15/13 kilograms of chocolate of the 30 kilograms purchased, then how many people can get a share of chocolate?
Answer:
Se elas quererem 15, duas pessoas. Mas, se quiserem 13, 2,3076923077
Step-by-step explanation:
30 dividido pra 2 dá 15.Fined the slope of this table
Answer:
−9
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1} \\\\= \frac{0-49}{0-(-5)} \\\\= \frac{-45}{5} \\= -9[/tex]
Answer: Ok without simplifying the answer is 5/-45 but if you simplify then the answers 1/-9
Step-by-step explanation: all you really need to do is find the pattern in each row the pattern for x was it was moving by 5's the pattern for y is that it was dropping by -45
Which answer is equal to i^45
Answer:
i
Step-by-step explanation:
The pattern is as follows
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
Following this pattern, i^45 = i.
The value of the expression [tex]i^{45[/tex] is equal to i
Complex numbers are the square root of negative numbers. For instance:
[tex]\sqrt{-1} = i\\i^2 = -1[/tex]
Given the complex number:
[tex]i^{45}\\= (i^2)^{22} \times i\\= (-1)^{22} \times i[/tex]
Since any value raise to the even values will give a positive value hence;
[tex]=(-1)^{22} \times i\\=1 \times i\\= i[/tex]
This shows that the value of the expression [tex]i^{45[/tex] is equal to i
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1. What wavelengths are associated with the light color observed in each metal’s flame test?
2. What are the most probable atoms in your unknown solid based on the observed light emissions?
3. Sodium light is easy to filter because it only emits light at a specific wavelength. Would any of the other metals you tested also be easy to filter? Why or why not?
4. If a fireworks engineer was planning a Christmas show and wanted to create a red explosion followed by a green one. Based on the flames observed, which metal salts should they use?
The metal salts I used to test were Potassium Chloride, Lithium Chloride, Copper Chloride, Sodium Chloride, and an Unknown Salt.
Answer:
Here's what I get
Step-by-step explanation:
1. Wavelengths
[tex]\begin{array}{lcc}\textbf{Salt} & \textbf{Flame Colour} & \mathbf{\lambda} \textbf{/nm}\\\text{KCl} & \text{violet} & 423\\\text{LiCl} & \text{red} & 701\\\text{CuCl}_{2} & \text{blue-green} & 492\\\text{NaCl} & \text{ orange-yellow} & 590\\\end{array}[/tex]
2. Identity of unknown
Don't know. You haven't told us its flame colour.
3. Light filters
You could probably filter lithium light. It is almost pure red.
The other elements emit light of mixed colours. It would be difficult to filter them with filters of a single wavelength.
4. Fireworks chemicals
For a red explosion followed by a green one, the engineer should use LiCl and CuCl₂.
Please help, this is due in 20 minutes, I need to do other work, please help. 7) Chris pays €18 for a meal, the Exchange rate is £1 = €1.65. What is the price of the meal in pounds? 8) In the USA a jacket costs $96. The Exchange rate is £1= $1.54. How much is the jacket in pounds? 9) In Hungary, Jack pays 874 Forints for a box of chocolates. The Exchange rate is £1= 350 Forints. How much does he pay for the chocolates to the nearest pence? 10) Jan buys a pair of sunglasses in Boots for £12.50. In Portugal the same pair of glasses is €15. If the exchange rate is £1 = €1.12, where are the glasses the cheapest? Show your working.
7)18/1.65=10.9 so the meal cost £10.90
8)96/1.54=62.3376623377 so the jacket cost £62.38
9)874/350=2.497142857 so it cost £2.49
10)15/1.12=13.3928571 meaning the pair of sunglasses in Portugal costs £13.39 so it is cheaper to buy the glasses in boots
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
Step-by-step explanation:
R is between (-3) & (-4)
So, R = - 3.5
Answer:
Step-by-step explanation:
R= -3.5
Cecelia's monthly mortgage payment is $1,432.26. She calculated the annual property tax on her $300,000 home and determined that it was $6000. What is Cecelia's total monthly payment for the mortgage and property tax? a. $1882.26 b- $1932.26 c- $2032.26 d- $1982.26
Answer:
You provided no correct answer
Step-by-step explanation:
The way to correctly solve this problem is by ignoring the 300,000 dollar home part, and simply add the mortgage and the tax which comes out to 7432.26
Answer:
A
Step-by-step explanation:
Which of the following equations is equivalent to y-3x =+?
Answer:
C) y-10=3(x-2)
Step-by-step explanation:
Simplify what your starting equation is -> y-3x=4 -> (Simplified to y=3x+4)
When you simplify all the possible answers, the correct answer has to be identical to y=3x+4.
The Following list is all simplified possible answers, the one that is the exact same as y=3x+4 is the right answer.
A)y=3x+10
B)y=3x+7
C)y=3x+4
D)y=-3x+4
Question 19 of 25
2 Points
If a circle is inscribed in a square, which of the following must be true? Check
all that apply.
A. Each vertex of the square lies inside the circle.
B. The circle is tangent to each side of the square.
o C. The square is circumscribed about the circle.
O D. Each vertex of the square lies outside the circle.
O E. The circle is congruent to the square.
SUBMIT
Answer:
Correct Answers: D,C,B
Step-by-step explanation:
I took the test and got these as the right answers Hope this helped if not I tried
HELP ASAP!!!
Describe the shape of the data distribution
Answer:
negatively skewed
Step-by-step explanation:
This is because the median is on the right hand side
Naomi fish is 40 millimeters a humid pig is 25 centimeters long how much longer is the humid pig
Answer:
The humid pig is 210 millimeters longer.
Step-by-step explanation:
Naomi fish= 40 millimeters
Humid pig = 25 centimeters
1 centimeter is equal to 10 millimeters.
Naomi fish - 40 millimeters
Humid pig- 250 millimeters
To find how much lobger the humid pig is subtract 40 from 250.
250-20 = 210
210 millimeters longer.
Answer:
Step-by-step explanation:
we know that
Answers in cm
we know that
Naomi's fish is 40 millimeters long
convert to centimeters
and
her guinea pig is 25 centimeters long
Find the difference
so
The guinea pig is much longer than her fish
Answers in mm
we know that
Naomi's fish is 40 millimeters long
and
her guinea pig is 25 centimeters long
convert to millimeters
Find the difference
so
The guinea pig is much longer than her fish
describe the cross-section of the rectangular prism
trapezoid
rectangle
triangle
hexagon
Answer:
The cross-section of the rectangular prism is a:
rectangleStep-by-step explanation:
When you take a cross-section of a rectangular prism, regularly you will obtain a rectangle because this was the base or the two-dimension figure that was used to form the three-dimension figure, in this case, the rectangular prism, the form of obtaining other figure is using how reference the square face, in that case, the cross-section would be a square, this happens because the cross-section is bind with the reference face. Possibly you think the cross-section in the figure doesn´t appear a rectangle, this happens by the perspective because we are looking at the rectangular prism with an inclination of 45°, but if the inclination was 90°, you would see a blue rectangle.
PLZ HELP!!! Find the measure of BAC
Answer:
<BAC = 20°
Step-by-step explanation:
It is given in the question that all 9 triangle which are formed are congruent, which means that in all triangles, the angle which is formed at point A is same.
Which means 9 angles collectively can be written as 9 · <BAC
If we consider all the 9 triangles, we can see in the figure that it forms a semicircle.
A semicircle has a total sum of angles equal to 180°
So we can write that:
9 · <BAC = 180°
Simplify for <BAC
<BAC = 20°
John cut a paper square with a perimeter of 18 inches into two rectangles. The perimeter of one of the rectangles is 10 inches. What is the perimeter of the second rectangle?
Answer:
17 inches
Step-by-step explanation:
The original square had sides of 4.5 (18/4)
To get a perimeter of 10, we know that two sides would already equal 9 (4.5+4.5). That means we only have 1 inch for the other two sides, so they are each 1/2 inch.
That leaves the second rectangle with a length and width of 4.5 and 4.
2(4.5) + 2(4) =
9+8=
17
Answer:
17 in
Step-by-step explanation:
2(4.5) + 2(4)
=9+8
=17
Hope this helps!
Determine the measure of obtuse angle A. answers: A) 130° B) 122° C) 58° D) 7°
Answer:
B) 122 degrees.
Step-by-step explanation:
Consider the kite :- the 2 angles at the tangents are 90 degrees so we have:
9x - 5 + 14x + 24 + 90 + 90 = 360
9x - 5 + 14x + 24 = 180
23x + 19 = 180
23x = 161
x = 7
So the obtuse angle = 14(7) + 24
= 98 + 24
= 122 degrees.
Carmen, Reuben, and Jim sent a total of 156 text messages over their cell phones during the weekend. Jim sent 6 fewer messages than Carmen. Reuben sent 4
times as many messages as Jim. How many messages did they each send?
Answer:
Step-by-step explanation:
1) determine what we know. We know that...
a) 156 total messages were sent
b) Jim sent 6 less that carmen
c) reuben sent 4 times as many as jim
2) create an equation with the information we know
(J= amount of messages jim sent, R= amount of messages reuben sent and C= amount of messages carmen sent)
(jim) (reuben) (carmen) (total)
C - 6 + J(4) + C = 156
Now, isolate "C" on one side of the "="
3) add 6 to both sides of the equation:
C - 6 + J(4) + C =156
-6 -6
C + J(4) + C = 150
4) Combine like terms. In this case, combine the two Cs into Cx2:
C(2) +J(4) = 150
5) subtract "J(4)" from both sides of the "="
C(2) + J(4) = 150
-J(4) -J(4)
C(2) = 150 - J(4)
6) to isolate just 1 C, divide everything by 2
{C(2) = 150 - J(4)} ÷ 2
C = 75 - J(2)
7) Go back to our original equation (in bold) and replace "C" with "75 - J(2)"
(75-J(2)-6) + J(4) + (75-J(2)) = 156
Now solve for J.
Thats as far as I got.
If a cow has a mass of 9×10^2 kilograms, and a blue whale has a mass of 1.8×10^5 kilograms, which of these statements is true?
The blue whale has about 200 times more mass.
The cow has about 200 times more mass.
The blue whale has about 500 times more mass.
There is no way to compare the masses.
Answer:
The 1st answer, The blue whale has about 200 times more mass. might be correct.
Step-by-step explanation:
9 x 10 ^2= 900 kilograms
1.8 × 10 ^5= 180000 kilograms
180000 kilograms / 900 kilograms= 200 times
Help me somebody. I’m lost with this completely
Answer:
48,828,125
Step-by-step explanation:
PEMDAS
P: 5^2 = 25 (25^4*5^3)
E: 25^4 = 390625, 5^3=125 (390625*125)
M: 390625*125=48828125
D: n/a
A: n/a
S: n/a
Answer:
9765625
Step-by-step explanation:
I literraly used a calculator.
PLEASE HELP ME!!! ASAPPPPP!!!!!!
expand and simplify
Answer:
8x+11
Step-by-step explanation:
This problem can be solved by using distributive property.
if there is expression a(b + c).
then by distributive property.
a(b + c). = ab + ac
given problem
3(2x+1) + 2(x+4)
by using distributive property.
=>3*2x + 3*1 + 2*x + 2*4
=> 6x + 3 + 2x + 8
adding term containing x together and constant term together
=> 8x + 11
Thus, solution is 8x+11
Pls answer 17 and 18 I will give brainist
Answers:
17. B18. BStep-by-step explanation:
17. We need to understand what an indirect proof is. In an indirect proof, you prove a statement by showing that the negation of the statement is false.
The "then" part of the conditional is the "to prove" statement.
In an indirect proof, we assume the opposite of what we want to prove, this is also called proof by contradiction.
So if we need to prove angle A is not an obtuse angle, we will assume it is and then use the proof format to show that angle A cannot be obtuse.
The answer is B: Assume angle A is an obtuse angle18. This question is asking us to use an indirect proof again. The "then" part of the statement is "KL > JK" and is the "to prove" statement.
We need the opposite of this, which would be assuming that KL < JK.
The answer is B: Assume that KL < JKI'm always happy to help :)The number 99 is increased to 104. What is the percentage by which the number was increased, to the nearest tenth of a percent?
Answer:
5.1
Step-by-step explanation:
I think im not shure
Answer:
5.05050505....% so about 5.1%
Step-by-step explanation:
Hope this helps!
If y varies jointly with x and y =3 when x=2 and z=4 find y when x=8 and z=12
Answer:
y=10
Step-by-step explanation:
As you can see, the order when x=2 and z=4, is y=x+1, z=y+1, therefore y was 3.
Then, you can find y when x=8 and z=12 by:
12-8=4 (the difference between z and x)
and then divide 4 by 2 (the number of intervals between x, y, and z)
then get 2 (as the difference between x and y.
The answer is 8+2=10.
Hope this helps!
< B is opposite
А. АС
B. AB and BC
C. BC
D. ZC
E. AB
F. ZA
The angle ∠B is opposite AC in the triangle.
Option A is the correct answer.
We have,
From the triangle,
There are three angles:
∠A, ∠B, and ∠C.
And,
The sides opposite to each angle are:
AC is opposite ∠B
AB is opposite ∠C
BC is opposite ∠A
Thus,
The angle ∠B is opposite AC in the triangle.
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△MNO ~△DEF. Identify the perimeter and area of △MNO to the nearest tenth. PLEASE HELP!!!
Answer:
Option A: P ≈ 38.7 in, A ≈ 63.7 in²
Step-by-step explanation:
We are told that △MNO ~△DEF. This means that they are similar triangles.
We can solve for this using scale factor.
a) Perimeter of △MNO
The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Perimeter of △MNO = X
Perimeter of △DEF = 52in
Scale factor (k) = 6.7/9
Hence,
6.7/ 9 = X/52
Cross Multiply
9X = 6.7 × 52
X = 6.7 × 52/9
X = 38.711111111 inches
To the nearest tenth, Perimeter of △MNO = 38.7 inches
b) Area of △MNO
The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Area of △MNO = Y
Area of △DEF = 115in²
Scale factor (k) = 6.7/9
Hence,
(6.7/ 9)² = Y/115
6.7²/9² = Y / 115
Cross Multiply
9² × Y = 6.7² × 115
Y = 6.7²× 115 /9²
Y = 63.732716049 square inches
To the nearest tenth, Area of △MNO = 63.7 in²