Answer:
[tex]\cos\theta=0.53[/tex]
Step-by-step explanation:
Given that,
[tex]\tan\theta=\dfrac{8}{5}[/tex]
We know that,
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
Let H is hypotenuse of triangle. Using Pythagoras theorem,
[tex]H^2=P^2+B^2\\\\H=\sqrt{P^2+B^2} \\\\H=\sqrt{8^2+5^2} \\\\H=9.43[/tex]
We know that,
[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{5}{9.43}\\\\\cos\theta=0.53[/tex]
So, the value of [tex]\cos\theta[/tex] is equal to 0.53.
Find the measure of the indicated angle.
Hi!! whats 3+3? :P .....
Answer:
6
Step-by-step explanation:
Thank you for the points, have a wonderful day!
For you guys not for me- The orca weighs 4 tons. How many pounds is that
Answer:
8,000 pounds
Step-by-step explanation:
1 US ton = 2,000 pounds
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
8000 pounds.1 ton is 2000 pounds
4 tons = 8000 pounds
Thanks Hope it helps.what's the answer ?
[tex] \sqrt{245 + 44} [/tex]
[tex]\huge\mathfrak\pink{Answer...}[/tex]
+,- 17
[tex]\huge\mathfrak\purple{hope \: it \: helps..}[/tex]
1/3 (x -10) = -4
x = ?
Answer:
x = -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Find the surface area of the composite figure
solution given:
For Cuboid
length[l]=11mm
breadth [b]=9mm
height[h]=6mm
For semi cylinder
height[H]=11mm
radius[r]=[tex] \frac{9}{2}=4.5mm[/tex]
Now
Totalsurface area=2(lb+bh+lh)+½(2πr(r+H))-l*b[/tex]
:2(11*9+9*6+11*6)+22/7*4.5(4.5+11)-11*9
:438+219.2-99
:558.2mm²
Here area of base is subtracted as it is not included.
Total surface area of composite figure is :558.2mm².
Answer:
[tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringGeometry
Shapes
Congruency
Congruent sides and lengthsRadius Formula: [tex]\displaystyle r = \frac{d}{2}[/tex]
d is diameterSurface Area of a Rectangular Prism Formula: SA = 2(wl + hl + hw)
w is widthl is lengthh is heightSurface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
[Rectangular Prism] w = 9 mm
[Rectangular Prism] l = 11 mm
[Rectangular Prism] h = 6 mm
[Cylinder] d = 9 mm
[Cylinder] h = 11 mm
Step 2: Derive
Modify Surface Area equations and combine
[Surface Area of a Cylinder Formula] Factor: [tex]\displaystyle SA = 2(\pi rh + \pi r^2)[/tex][Surface Area of a Cylinder Formula] Divide by 2 [Semi-Cylinder]: [tex]\displaystyle SA = \pi rh + \pi r^2[/tex][Surface Area of a Semi-Cylinder] Substitute in r [Radius Formula]: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d}{2})^2[/tex][Surface Area of a Semi-Cylinder] Evaluate exponents: [tex]\displaystyle SA = \pi (\frac{d}{2})h + \pi (\frac{d^2}{4})[/tex][Surface Area of a Semi-Cylinder] Multiply: [tex]\displaystyle SA = \frac{\pi dh}{2} + \frac{\pi d^2}{4}[/tex][Surface Area of a Rectangular Prism] Remove top: [tex]\displaystyle SA = 2(wh + lh) + lw[/tex]Combine Surface Area equations: [tex]\displaystyle SA_{Total} = \frac{\pi dh}{2} + \frac{\pi d^2}{4} + 2(wh + lh) + lw[/tex]Step 3: Find Surface Area
Substitute in variables [Combined Surface Area equation]: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (9 \ mm)^2}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Evaluate exponents: [tex]\displaystyle SA_{Total} = \frac{\pi (9 \ mm)(11 \ mm)}{2} + \frac{\pi (81 \ mm^2)}{4} + 2[(9 \ mm)(6 \ mm) + (11 \ mm)(6 \ mm)] + (11 \ mm)(9 \ mm)[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[54 \ mm^2 + 66 \ mm^2] + 99 \ mm^2[/tex][Brackets] Add: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 2[120 \ mm^2] + 99 \ mm^2[/tex]Multiply: [tex]\displaystyle SA_{Total} = \frac{99\pi \ mm^2}{2} + \frac{81\pi \ mm^2}{4} + 240 \ mm^2 + 99 \ mm^2[/tex]Add: [tex]\displaystyle SA_{Total} = \frac{279 \pi}{4} + 339 \ mm^2[/tex]nine red balls and six blue balls are in a bag. if two were selected at random, determine the probability of selecting two red balls. set up the problem as if it would be solved but don't solve
[tex] x + 2y = 4[/tex]
what are the x- and y-intercepts for the graph of 4x-3y=-12?
Mr porter had eight parties at her house last year the number of guest at each party is shown below 15,19,9,27,21,21,10,14
Answer:
17Step-by-step explanation:
Complete question
Mr porter had eight parties at her house last year the number of guests at each party is shown below 15,19,9,27,21,21,10,14. What is the median numbers of those parties
The median value is the value at the middle after rearrangement
On rearranging in ascending order
9, 10, 14, (15, 19), 21, 21, 27
Since there are two values in the middle, we will take the average of the numbers
Median = 15+19/2
Median = 34/2
Median = 17
Hence the median value is 17
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sin 45^{\circ}=\frac{y}{10\sqrt{2}},\\y=10\sqrt{2}\sin45^{\circ}=10\sqrt{2}\cdot\frac{\sqrt{2}}{2}=\frac{10\cdot 2}{2}=\boxed{10}[/tex]
HELP
evaluate the function: f(x)=-x^2-x+3
f(-4)
show steps please
put -4 where the x is
so
-4^2-(-4)+3
16 + 4 + 3
23 is the answer
geocache box answers
Answer:
I don't know sorry I ain't smart
A storm blew over a billboard 27 feet so that it is leaning against a pole 21 feet. How far from the base of the pole is the base of the billboard?
the base is 6ft of the billboard
What is the measure of angle B in degrees?
A) 30
B) 45
C) 60
D) 90
Answer:
its a 30 my friend and if its not a then choose b hope this helped
Step-by-step explanation:
Which fraction has a repeating decimal as its decimal expansion?
Answer:
3/11
Step-by-step explanation:
3 divided by 11 = 0.27272727272
Plz help with number 6 this is due today
Find the measure of one of the interior angles of a
regular polygon with 8 sides.
A
1080°
B
157.5°
с
135°
D
202.5°
Help plss
which is greater 30% or 0.4
Answer:
Well, 30% is equal to 0.3.
0.4 > 0.3
Step-by-step explanation:
Hope that this answers your question. If not please put any further questions below.
Have a great rest of your day/night!
Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1
Answer: [tex]\frac{2}{2},1\ \text{and}\ \frac{2}{2},1[/tex]
Step-by-step explanation:
[tex]\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}[/tex]
[tex]\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}[/tex]
[tex]\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}[/tex]
[tex]\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}[/tex]
Round the number 178.572 to the ones place
Answer:
178.570
Step-by-step explanation:
Answer:
it stays the same so 178.572
Step-by-step explanation:
What is the slope of the line that passes through (2,3) and (2,11)
Answer:
the slope is unidentified
Step-by-step explanation:
x=2
there is no slope.
You can answer either question but just know you will get brainliest!
Answer:
1. x= -4
2. x= 7
Step-by-step explanation:
hope this helps :)
1. 10x +14 y+8 37 27 +3 4y-19 X+77.
Answer:
Step-by-step explanation:
How do I solve questions like this?!
Miguel walked Ask Your Teacher mile to the library and then Ask Your Teacher mile to the post office. How can he write Ask Your Teacher and Ask Your Teacher as a pair of fractions with a common denominator?
Answer:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
Step-by-step explanation:
Given
[tex]Library \to \frac{1}{2}[/tex]
[tex]Post\ Office \to \frac{3}{5}[/tex]
See comment for complete question
Required
Write as a common denominator
Take the denominator of both fractions
[tex]2 \to[/tex]
[tex]5 \to[/tex]
Calculate the LCM
[tex]2 \to 1 * 2[/tex]
[tex]5 \to 1 * 5[/tex]
[tex]LCM = 1 * 2 * 5[/tex]
[tex]LCM = 10[/tex]
Multiply the numerator and the denominator of both fractions by 10
Simplify each to ensure a denominator of 10
[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]
[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]
Hence, the pair is:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
someone please helppp
Answer:
D. 10cm
Step-by-step explanation:
Because 20-10=10
Pls mark brainliest
Some remedies for gluten intolerance are to increase your intake of fruits and vegetables
A. True
B.False
I think that's false
Step-by-step explanation:
Hope this helps
Answer:
true
Step-by-step explanation:
gluten intolerance can stop you from absorbing really important nutrients, commonly found in fruits and veggies so increasing your intake can help you absorb the nutrients.
The area of a square garden is 64 m2. How long is each side of the
garden?
Answer:
hope this will help you more...best of luck
URGENT!!! Solve the equation for the unknown
[tex] \huge\boxed{ \boxed{ \mathrm{Answer࿐}}}[/tex]
The value of x is 4Solution in attachment :
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]