Answer: Do the math, the positive solution
t = 5.0495 seconds (If it's wrong sorry, I havent done a problem like this one in awhile!)
Step-by-step explanation:
PLEASE HELP!! 100 points!!!
The angle of depression from the top of a tower to a boulder on the ground is 22 . If
the tower is 70 feet high, how far from the base of the tower is the boulder? (Round
answer to the 1st decimal place.)
Answer:
173.3 feetStep-by-step explanation:
Let the required distance be x.
We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.
Use trigonometry:
adjacent / opposite = cotangentx / 70 = cot 22 degx = 70 cot 22 degx = 173.3 feet (rounded)What is the sum of the 4th square number and the 12th square number
Answer:
160
Step-by-step explanation:
4th square number: 16
12th square number: 144
16 + 144 = 160
Elliott needs 3/4 of a cup of sugar to make a dozen chocolate chip cookies. How many cups of sugar does he
need to make 4 dozen.
Answer:
3 cups
Step-by-step explanation:
3/4 times 4 equals 12/4. divide and get 3.
find the quadratic equation of -9+3p2=-12
Answer:
How to solve your problem-
9 + 3 2 = − 1 2
Step-by-step explanation:
− 9 + 3 2 = − 1 2
9+3p2=-12
3 2 − 9 = − 1 2
solve similar triangles (advanced)
Answer:
x = 1.125 AKA x = 1 1/8 AKA x = 9/8
Step-by-step explanation:
CB to ED = 1 : 9
Scale Factor = 1/9
[tex]\frac{1}{9} = \frac{x}{x+9}[/tex] -> cross multiply
9x = x + 9
-x -x
8x = 9
[tex]\frac{8x}{8} =\frac{9}{8}[/tex]
x = 9/8
Rationalize the denominator 1/ (5-2√3)
[tex]\qquad[/tex]_________________________
[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]
[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]
[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]
[tex]\qquad[/tex]_________________________
Answer is 2/(5+√13)
Rationalize the denominator 1/ (5-2√3)
Slope
What is the slope of the line through (-7, -2) and (-6.7)?
Choose 1 answer:
Answer:
9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-(-2))/(-6-(-7))
m=(7+2)/(-6+7)
m=9/1
m=9
Work out the size of angle x.
Answer:
65°
Step-by-step explanation:
x=180°-40°-75°
x=65°
1.8 divided by 3 please.
Answer: 0.6 is the answer
Write the equation of a line that is parallel towards y = -6x +5
Answer:
y=-6x-4
Step-by-step explanation:
Any linear equation that has the slope of -6 is parallel to y=-6x+5
20 Points Please Help
I'm spending my last 10 points on this please help me
Answer:
Rate of sales tax = 6% of $60
Sales tax = [tex]\frac{6}{100}[/tex] × 60
= $3.60
A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)
Answer:
each ornament was about 5 cents
Step-by-step explanation:
Hope this helps
May I get Braineist pls
Need some help on this question please
[tex]2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)[/tex]
Answer:
x<3.5
Step-by-step explanation:
multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5
I hope u get it right!
Find the x and y-intercepts of 3x-4y = 8
Answer:
y intercept is 2
x intercept is -2.6
Step-by-step explanation:
4y=3x-8
4y-3x=8
y/2-x/2.6=1
y intercept is 2
x intercept is -2.6
intercept formula
y/B+x/A= 1
where B and A are intercepts
Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help
Answer:
equation of g(x) is 3-x
f(x)= -x+6 g(x)=f(x+3)
then,,
f(x+3)=-(x+3)+6 =-x-3+6 = 3-xie.. g(x)=3-x
a derpartment store sell 152 pair of jeans for 29 each. which is the best estimate of the total sales for the jeans
Answer:
44 dollars
Step-by-step explanation:
Since we need to find the total sales, we do 152 * .29, but we are estimating, therefore, instead we can do 150 * .29, which is 43.5. Rounding up we get 44, thus 44 is our answer
will mark brainiest
Hans is riding his bicycle. He takes 6 hours to ride 38.4 kilometers. What is his speed?
___ kilometers per hour
helloo!!! please help me on this !!!!
It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°
[tex]\mathfrak{10x - 18 = 8x} [/tex]
[tex]\mathfrak{10x - 8x = 18} [/tex]
[tex]\mathfrak{2x = 18} [/tex]
[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]
[tex]\underline{\mathfrak{x = 9}} [/tex]
Measure of ∠R :
[tex]\mathfrak{8x} [/tex]
[tex]\mathfrak{8(9)} [/tex]
[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]
ღ ꪑ꠸᥅ꫀꪊ
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
Answer:
$ 275
Step-by-step explanation:
20/100 = 55/x (20% is 55 of what number) (%/100 = is/of)
(100 * 55) / 20 = 275
Answer:
68.75
Step-by-step explanation:
Determine the intercepts of the line.
[tex]y = -3x +12\\\\\text{Plug x = 0 to find y - intercept,}\\\\y = -3(0) +12 = 12\\\\\text{So, y-intercept is (0,12).}\\\\\text{Plug y=0 to find x - intercept,}\\\\0 = -3x +12\\\\\implies -3x = -12\\\\\implies 3x = 12\\\\\implies x = \dfrac{12}{3} = 4 \\\\\\\text{So, x - intercept is (4,0).}[/tex]
Solve for X please and thank you
Answer:
x = 48
Step-by-step explanation:
Given a secant and a tangent from an external point to the circle, then
the product of the external part and the entire secant is equal to the square of the measure of the tangent , that is
2(2 + x) = 10² = 100 ( divide both sides by 2 )
2 + x = 50 ( subtract 2 from both sides )
x = 48
During a store's opening month, they sold 925 DVD's and 507 Blu-ray discs. Each month thereafter, the number of DVD's sold per month decreased by 12 while the number of Blu-ray discs sold per month increased by 26. Let d represent the number of discs sold and t represent the time in months.Write a system of equations
The system of equations representing the number of Blue-ray discs and DVD's after t months are:
507 + 26t
925 - 12t
Each month, the number of DVD's sold decreases by 12, this can be modelled as:
number of DVD in opening month - (monthly decrease x number of months)
Number of DVD's in t months = 925 - 12t
Each month, the number of Blue-ray discs sold increases by 26, this can be modelled as:
number of blue-ray discs in opening month + (monthly increase x number of months)
Number of Blue-ray discs in t months = 507 + 26t
To learn more about growth rate, please check: https://brainly.com/question/18760477
How many factors does 60 have? A)10 B) 8 C) 12 D) 4
Answer:
60 have 12 factors :1,2,3,4,5,6,10,12,15,20,30,60
I need help with this
Answer:
What do you need help with? Try uploading a picture or copying the question
log 95 The expression Tog2 is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression? log, 2 3 log, 3 2 O log حاد 3 1 1093 2
Answer:
third option: log_2 1/3
Step-by-step explanation:
change of base formula:
log_b a= (log_x a)/(log_x b)
(log 1/3)/(log 2)
apply reverse change of base formula
2 from log 2 becomes new base, and 1/3 becomes the other number
=log_2 1/3
The original logarithmic expression which when undergoes the change of base formula gives the expression ㏒ (1/3) / ㏒ (2) is third option ㏒₂ (1/3).
Given a logarithmic expression,
㏒ (1/3) / ㏒ (2)
This expression is the result of a logarithmic expression when undergoes change of base formula.
The change of base formula is as given below.
㏒ₐ (x) = ㏒ₙ (x) / ㏒ₙ (a)
Using the same formula here,
We have the expression ㏒ (1/3) / ㏒ (2).
Here x = 1/3 and a = 2
So, the required expression is,
㏒ₐ (x) = ㏒₂ (1/3)
Learn more about Logarithmic Expressions here :
https://brainly.com/question/14407082
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The triangles are congruent due to which criteria?
SAA
SAS
SSS
HL
Answer:
SAS is the answer
Step-by-step explanation:
Answer:
HL.
Step-by-step explanation:
Right triangles with the hypotenuse and one leg congruent
Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store. She paid Rs. 95 in all. Some ink fell on the bill that she got from the store. So the price of 1 notebook cannot be seen from the bill.What is the price of the one notebook?
The price of the one notebook will be Rs. 10.6
Let the price of one notebook be x.If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;
1x + 4x + 4x = 95
9x = 95
x = 95/9
x = 10. 6
Hence the price of the one notebook will be Rs. 10.6
Learn more on ratio here: https://brainly.com/question/20346769
HELPPPP PLSSSS IT'S UNIT RATE BUT I Don't HAVE MUCH TIME TO DO IT!!!
Answer:
So Jennys Jean store charges the higher rate.
Step-by-step explanation:
Jeanys Jean store
Cost/pair = 20/1 = $20 per pair
Jeans warehouse
Cost/pairs = 36/2 = $18 per pair
So Jennys Jean store charges the higher rate.
What is the ratio of cosine of C?
A 24/7
B 24/25
C 7/25
D 25/24
Answer:
Cos C = adjecent/hypotenuse
Cos C = 14/50
divide the numerator and the denominator by 2
Cos C = 7/25
The answer is C