Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{G\: I \: V \: E\: N}}} }: [/tex]
[tex] \large{ \tt{sin \: \theta = \frac{8}{9}}} [/tex] Here , Perpendicular ( p ) = 8 & hypotenuse ( h ) = 9♨ [tex] \underline{ \underline{ \large{ \tt{ T \: O \: \: F \: I\: N\: D}}}} : [/tex]
[tex] \large{ \tt{cot \: \theta}}[/tex]♨ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T\: I\: O \: N}}}} : [/tex]
First, Find the base ( b ) using Pythagoras theorem :☪ [tex] \boxed{ \bf{ {h}^{2} = {p}^{2} + {b}^{2} }}[/tex]
~Plug all the known values and then simplify!
⇾ [tex] \large{ \bf{ {9}^{2} = {8}^{2} + {b}^{2} }}[/tex]
⇾ [tex] \large{ \bf{81 = 64 + {b}^{2} }}[/tex]
⇾ [tex] \large{ \bf{64 + {b}^{2} = 81}}[/tex]
⇾ [tex] \large{ \bf{ {b}^{2} = 81 - 64}}[/tex]
⇾ [tex] \large{ \bf{ {b}^{2} = 17}}[/tex]
⇾ [tex] \large{ \bf{b = \sqrt{17}}} [/tex]
Now , Find the value of cot θWe know ;
⟿ [tex] \large{ \bf{cot \theta = \frac{b}{p} = \boxed{ \bf{ \frac{ \sqrt{17} }{8}}}}} [/tex]
⤷ [tex] \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer : { \tt{ \frac{ \sqrt{17} }{8} }}}}}}}[/tex]
( Correct me if I'm wrong )
Hope I helped ! ♡
Have a wonderful day / night ! ツ
☄ Let me know if you have any questions regarding my answer !
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
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Helppp no scamming
Triangle ABC has vertices A(0, 4), B(2, 1), and C(4, 3). Find the
coordinates of the vertices of ABC after a reflection over the
x-axis. Then graph the figure and its reflected image.
Answer:
A'= (0,-4)
B'= (2,-1)
C'= (4,-3)
Step-by-step explanation:
After you flip it over the x-axis, it would be
A'= (0,-4)
B'= (2,-1)
C'= (4,-3)
Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.
Answer:
Hot dogs: $2.75
Sodas: $1.5
Step-by-step explanation:
Hot dogs = x
Sodas = y
4x + 3y = 15.5
3x + 2y = 11.25
First find the value of the hot dogs by canceling out y:
2(4x + 3y) = 2(15.5)
3(3x + 2y) = 3(11.25)
= 8x + 6y = 31
9x + 6y = 33.75
x = $2.75 (Minus bottom equation from the top to isolate x)
Plug in for x to get y:
3(2.75) + 2y = 11.25
2y = 11.25 - 8.25 (Isolate the y)
2y = 3
y = 3/2, or $1.5
How to do surface area- cylinder worksheet
Answer:
to find surface area of cylinder
A=2πrh+2πr²
Step-by-step explanation:
Find the area of a circle with a diameter of 12 cm.
Use π = 3.14 in your calculations.
A
37.68 cm²
B
113.04 cm²
C
144 cm²
D
452.16 cm²
Answer:
B
Step-by-step explanation:
The formula for area for a circle is [tex]a = \pi[/tex] x r^2
Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
which one is bigger 6000 grams or 5000 kg
Answer:
[tex]5000kg \: is \: greater.[/tex]
[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]
[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]
[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]
F is directly proportional to A. if F=72 when A=9 find F when A=7
Please help, If you can also explain the steps you used to solve this that would be great.
Answer:
24¾
Step-by-step explanation:
8/18=11/x
x=11×18/8
x=198/8
x=24¾
PLEASE HELP ME PLEASE PLEASE PLEASE
Answer:
Step-by-step explanation:
l/100 km means liters per 100 Kilometre. How many liters a car need for traveling 100 km.
Km/l means liter per km
another question of the homework
Answer:
Jessica's trains travels at a faster speed
Step-by-step explanation:
From the question,
Using the graph,
The total distance distance traveled by Khalid after 2 hours is
d = 280 mi.
S = d/t....................... Equation 1
Where S = Khalid's speed, d = Khalid's distance, t = time.
S = 280/2
S = 140 mph.
From the euqation,
The total distance traveled by Jessica after 2 hours is
y = 150×2
y = 300 mi.
Also Using
S' = d'/t
Where S' = Jessica's speed, d' = Jessica's distance
S' = 300/2
S' = 150 mph.
From the above, Jessica's trains travels at a faster speed
Marlon and Brent are each measrueing one of their shoes. Their shoes measure 15 inches in all. Marlon's shoe is 1 inch longer than Brent's shoe. How long is Brent's shoe?
Answer:
16
Step-by-step explanation:
15 plus 1 equals 16 I hope this helps
5.5% tax on $20 is $
Answer: $18.90
Step-by-step explanation:
Answer:
$1.1
Step-by-step explanation:
= 5.5% × $20
= $1.1
What is the exact circumference of the circle?
Answer:
circumference = 22.2144 or 5π√2
Step-by-step explanation:
the diameter of the circle would be equal to the diagonal of the square.
Using the Pythagorean theorem:
D² = 5² + 5²
D² = 50
D = 7.0711 or 5√2
circumference = πD = 5π√2 = 22.2144
Answer:
diagonal or diameter =√(5²+5²)=5√2unit
therefore radius =5/2√2unit
circumference of circle =2πr=2×π×5/2×√2=5π√2unit
A frying pan has a radius of 14 cm. What is the circumference of the pan?
¿ ʇᴉ ǝʌlos noʎ uɐɔ
[tex] {12}^{2} + {5}^{2} = x[/tex]
Answer:
x= 169
Step-by-step explanation:
12*12= 144
5*5= 25
x= 144+25
x= 169
....
Answer:
here's the solution :-
=》
[tex]x = {12}^{2} + {5}^{2} [/tex]
=》
[tex]x = 144 + 25[/tex]
=》
[tex]x = 169[/tex]
8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no
Answer:
No
Step-by-step explanation:
I believe you have to approximate or round it off.
that will be 6.9.
What is the total surface area of the figure below?
6 cm
7 cm
13.1 cm
359.1
0 275,1
400
317.1
Answer:
275.1 I'm so sorry if it is wrong dont come at me please
Multiple Choice Question
Write 6 + 12x in a factored form.
A. 6(1 + 2x)
B. 6 + (1 + 2x)
C. 6(1+ 12x)
D. 6 + (1+ 12x)
Answer:
A. 6(1+2x)
Step-by-step explanation:
we take 6 as Common factor out of the equation
What is 15/12 simplifed?
Answer:
that is 5/4 to the lowest Terms
Answer:
1.25 or 1 1/4
Step-by-step explanation:
Used a calculator.
The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
I NEED HELP ASAP
Answer:
30° = m∠GFH
Step-by-step explanation:
Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.
Let x = m∠GFH
2x = m∠EFH
m∠GFH + m∠EFH = 90
x + 2x = 90
3x = 90
x = 30° = m∠GFH
Answer: 30
Step-by-step explanation: qu i z i zz
This is a similar triangle please find the missing length. (?)
Answer:
33
Step-by-step explanation:
In ΔPQR,
length of side=
77= 7×11
84= 12
Similarly, In ΔFGH
length=
36=3×12
so, the other side= 3×11= 33
Answer:
33
Step-by-step explanation:
[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values
[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply
84*?=36*77
84*?=2772, divide both sides by 84 to get ? by itself
?=33
I’m posting too many
Solve each equation 51/2=d +1/4 what is d?
A canister holds 3 blue pens, 4 black pens, 2 red pens, and 6 pencils. The simplified ratio of ALL the pens to pencils is
Answer:
The simplified ratio of ALL the pens to pencils is
= 3:2
Step-by-step explanation:
A canister holds 3 blue pens, 4 black pens, 2 red pens, and 6 pencils.
Step 1
Sum of all the pens is:
Blue pens + Black pens + Red pens
= 3 + 4 + 2
= 9 pens
Number of pencils = 6 pencils
Step 2
The simplified ratio of ALL the pens to pencils is
Pens : Pencils
= 9 : 6
= 3:2
If 12% of the air leaks out of Brian's bicycle tire every day, what percent of the air will be left after 2 days? After a week? Round your percents to 2 decimal places.
Answer:
77.44%
49.87%
Step-by-step explanation:
If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air
on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056
Air left on the second day = 88% - 10.56% = 77.44%
After a week = (100 - 12%)^7 = 49.87%
HELP ME!!!!!!!!!! ANSWER 2-5
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2. (4,0)
3. (6,1)
4. (-1,-3)
5. (2,0)
6. (-3,0)
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HOPE IT HELPS
PLEASE MARK ME BRAINLIEST ☺️
if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
angle in degrees
Answer:
25
Step-by-step explanation:
b) Here are the first four terms of another sequence.
7
11 15 19
Write an expression for the nth term of this sequence.
Answer:
[tex]a_{n}[/tex] = 4n + 3
Step-by-step explanation:
There is a common difference between consecutive terms, that is
11 - 7 = 15 - 11 = 19 - 15 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 4 , then
[tex]a_{n}[/tex] = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3
The Clayton family and the Mercado family are seeing a movie together in the theater. At the concession stand, Mr. Clayton paid $20 for 4 large popcorns and 2 large drinks that his family will share. Mrs. Mercado bought 4 large popcorns and 4 large drinks and paid $28. How much does each item (popcorn & drink) cost?
Answer:
Popcorn costs 4. Drink costs 2.
Step-by-step explanation:
4x4=16
2x2=4
16+4=20
What number 10times greater than 0.03
Answer:
A number that is 10 times greater than 0.03 A number that is 1000 times greater than 3 1 10 the value of 30 3 1 100 of 3 0.03 so the number that is 10 times greater than is 0.3
but if you want to know they number that 0.03 is ten times greater then its 0.003
Step-by-step explanation:
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you!
Answer:
I hope this helps a little bit.