Answer:
The angles are : 30° , 90° , 60° and 120°
Step-by-step explanation:
In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°
In other to find the net measure of the angles
we will draw altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.
let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x
side( hypothenuse ) of rhombus = x
sine = opposite / hypothenuse
hence sine x = 1/2 x / x
∴ sin x = 1/2
therefore to determine the value of x
sin^-1 ( x ) = sin^-1 ( 1/2 )
hence ; x = 30
given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°
Given that the acute angle and the obtuse angle of a rhombus is supplementary
hence the value of the obtuse angle = 180° - 60° = 120°
What is the area? Please help
Answer:
75
Step-by-step explanation:
A=1/2h(a+b) =10÷2=5(10+5)=5×15
=75Please help!!! I’ll mark you as brainliest!!!
Answer:
$57
Step-by-step explanation:
→ Do 20% of $80
( 20 × 80 ) ÷ 100 = 16
→ Add 5 to the previous answer
5 + 16 = 21
→ Add 2 to 21
2 + 21 = 23
→ Minus 23 from the total price
80 - 23 = $57
Please help!!! : )))
Sorry it's flipped lol
Answer:
20-24
Step-by-step explanation:
you can see that when you find the middle of the total data the data set left is in the 20-24 category
hope this helps! :)
Heather drew a scale drawing of a shopping center. The parking lot, which is 60 meters long in real life, is 12 centimeters long in the drawing. What is the scale of the drawing?
Answer:
1 cm = 5 meters
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
60 meters / 12 centimetres
5 meters / 1 centimetres
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
Gayle graphs the parabola (y + 1)2 = 12 (x – 3). How does she proceed? Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements. Gayle identifies that the vertex of the parabola is The parabola opens and the focus is units away from the vertex. 1 The directrix is units from the focus. The focus is the point The directrix of the equation is TE <
Answer:
1. (3,-1)
2. Right
3. 3
4. 6
5. (6,-1)
6. x=0
Explanation: Took the test
Answer:
Step-by-step explanation:
What is 4 and 3/4 - 1 and 1/3? The answer is one of these: 2 and 2/7, 2 and 2/12, 3 and 5/12, or 3 and 5/7
Answer:
3 and 5/12
Step-by-step explanation:
[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]
[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]
This fraction is equivalent to,
[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]
Multiply (a-b) by (2b-a).
Answer:
-2b(a) - a^2 -2b^2
Step-by-step explanation:
Just use the 'foil' method, meaning that you multiply the first number of one part (a), to the first and second to the next part (2b, -a)
Then, multiply the second number of that part (-b), to the first and to the next part (2b, -a)
You would get: -2b(a) - a^2 -2b^2
Multiplication is the process of multiplying. The multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. The multiplication of the two given expressions (a-b) and (2b-a) can be done as shown below,
(a-b) × (2b-a)
= a(2b-a) -b(2b-a)
= (a × 2b) - (a × a) - (b × 2b) + (b × a)
= 2ab - a² - 2b² + ab
= -a² -2b² + 3ab
= 3ab -a² -2b²
Hence, the multiplication of (a-b) by (2b-a) results in 3ab-a²-2b².
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
-5x + 4y = 7
-5x - 3y = -14
Answer:
1. x = [tex]\frac{4}{5}y + \frac{-7}{5}[/tex]
2. x = [tex]\frac{-3}{5}y + \frac{14}{5}[/tex]
Step-by-step explanation:
plss help i’ll give brainliest thank you!
Answer:
its 36 can you give me brainlyyy pleaasee
Answer:
36
Step-by-step explanation:
18 goes into 9 but not 12.
24 goes into 12 but not 9.
36 goes into 9 also into 12.
48 goes into 12 but not 9.
Hope this helps!
GIVING 30 POINTS PLZ ANSWER
the number a is smaller than the number b by 1/5 of b. by what part of a is b bigger than a?
A is smaller by 1/5 of b
So if you add a and 1/5 of b you would have b:
a + 1/5b = b
Solving for a you have:
A = b - 1/5b = 4/5b
A = 4/5b
Solving for b divide both sides by 4/5:
B = 5/4a
Since 4/4 = 1, this means b I’d bigger than a by 1/4
The answer = 1/4
Please help me out, right answers are favored
Answer:
y<_19x-11
Step-by-step explanation:
<_ it means less than and equal too hope it helps
You start at (9, 3). You move down 3 units. Where do you end?
Answer:
9,6 good luck with the answer
answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)
is anybody can help me with this one?
[tex]5(1 + n) = 2n ^{2} - 2[/tex]
Answer:
n = -1 , 3.5
Step-by-step explanation:
Move the terms to the left side and set equal to zero. Then set each factor equal to 0
What is the volume of the prism below?
Answer:
432 in.^3 or D.
Step-by-step explanation:
Answer:
D) 432 in³
Step-by-step explanation:
4 x 6 = 24
5 x 6 = 30
30 + 24 = 54
54 x 8 = 432
Please help, thankss
Answer:
The second option 5x.
Step-by-step explanation:
Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)
7 + 34.5x = 8 1/4
solve for x
Answer:
x=0.03623188
Step-by-step explanation:
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
(sorry if wrong please dont report)
Don’t answer if you don’t know, it’s rude
Word search
Vertical, diagonal.horizontal,
backwards
I’ll appreciate if u find atleast 1
Answer:
down here :)
Step-by-step explanation:
Digits: Go to the last E in Greek alphabet, and go down three spaces. The word runs diagonally into the top right corner.
Fraction: Go one above the N in Repeating. runds up diagonally into the top left corner.
2^(4- )8+16 *2
simplify
Answer:
-32
Step-by-step explanation:
Find the surface area of a square pyramid with side length 6 cm and slant height 6 cm.
Answer: 108 cm
Step-by-step explanation: Formula for square triangle is
SA=
D Question 5 5) A bag contains colored paper clips. 2 clips are green 4 clips are orange 2 clips yellow A paper clip will be randomly selected from the bag. What is the probability in decimal form that the paper clip selected will be green?
Answer:
0.125
green
Step-by-step explanation:
Since we know that there is 8 clips (2+2+4) and then we take 4/8 as a decimal and we then get 0.125
Answer: 0.25
Step-by-step explanation: 2+4+2=8 8clios in the bag and 2 are green, so 2/8 is the probability it will be a green selected. 2/8 in decimal form is 0.25
Please help and show workings!
Answer:
[tex]162\sqrt{3}[/tex]
Step-by-step explanation:
The equation for finding the area of a hexagon with a side length is
[tex](s^23\sqrt{3} )/2[/tex]
insert [tex]6\sqrt{3}[/tex]
and you are left with 162\sqrt{3}
Hope that helps :)
Answer:
[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]
Step-by-step explanation:
we are given a side a polygon
and said to figure out the area
recall the formula of regular polygon
[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]
where a represents the length of a side
and n represents the number of sides
the given shape has 6 sides
and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]
so our n is 6 and a is 6√3
substitute the value of n and a:
[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]
reduce fraction:
[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]
[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]
simplify square:
[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]
reduce fraction:
[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]
[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]
simplify multiplication:
[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]
recall unit circle:
[tex] \displaystyle \: 162 \sqrt{3} [/tex]
hence, our answer is E
[tex]3\sqrt{x} -1\leq 12[/tex]
Answer:
0≤x≤169/9
Step-by-step explanation:
The NYC subway system has a total of 850 miles of train tracks, and a NYC subway train has an average speed of 17.4 mph. If you laid all 850 miles of track end-to-end in one big circle, how much time would it take to ride a NYC subway train around the entire circumference of that circle?
Answer:48.85 hr
Step-by-step explanation:
Given
The length of the train track is [tex]L=850\ miles[/tex]
the average speed of the train is [tex]v_{avg}=850\ mph[/tex]
If this track is laid on to a big circle, then the length is equivalent to the circumference
time is taken to cover the circumference is given by
[tex]\Rightarrow t=\dfrac{L}{v}\\\\\Rightarrow t=\dfrac{850}{17.4}=48.85\ hr[/tex]
A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?
Answer:
The car's acceleration was 3.73 metre per second square = 3.73m/s²
Step-by-step explanation:
The car accelerated from rest.
initial velocity (u) = 0m/s
final velocity (v) = 25miles/hr = 11.2m/s
time (t) = 3s
a = ?
v = u+at
a = (v-u)/t
a = (11.2 - 0) / 3
a = 11.2/3
a = 3.73
a = 3.73m/s²
a
9. Is the rate below a unit rate? Explain.
60 miles
3 gallons
Answer quick plzzz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 20 miles/1 gallon would be the unit rate so NO 60 miles/3 gallons is not the unit rate
Explanation:
60 / 3 = 20
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
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Answer:
60/3=20
Step-by-step explanation:
hope this helps!
have a good day :)
In the following arithmetic sequence, which number is
missing from the series?
(2, 104, 206, 308, _____, 512, 614)
Answer:
410
Step-by-step explanation:
Every sequence 102 gets added
'
A CD usually sells for $17.00. If the CD is 20% off, and sales tax is 6%, what is the total price of the CD, including tax?
A.
$14.42
B.
$15.32
C.
$13.52
D.
$14.62
Answer:
14.42
Step-by-step explanation:
17.00 x .80 20% off means price is 80% (or .80) of price
=13.6
13.6 x .06 = .82 sales tax
13.60 + .82 = 14.42 sales price plus sales tax
Pleaseee help with math 6th
Identify the zeros/roots: and
Does it have a minimum or maximum?
Axis of symmetry:
Vertex:
y-intercept: