Answer:
A = 10.5 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 3 , then
A = 0.5 × 7 × 3 = 10.5 cm²
Answer:
A = 10.5 cm²
Step-by-step explanation:
hope this helps
Name all the quadrilaterals that have the given attributes
four congruent sides
Answer: A Rhombus has 4 congruent sides .
Solve for x if:
y = 7
x = 5y + 2
Solve for y if:
k = 2
8k - 3y 10
Solve for y if:
m = 3
y = 5x - 15
Solve for x and y if:
y = -3x + 9
y = 8x - 2
Answer:
Step-by-step explanation:
Please the number given in place of its letter in your equation
x = 5y + 2 if y = 7
x = 5*7 + 2
x = 35 + 2
x = 37
Apply the same principle to the others
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
Need Help ASAP Hurry
Answer:
Step-by-step explanation:
1) Impossible, a six sided die can't have 8 if it's six sided
2) Unlikely, there isn't an equal amount of boys and girls, so it wouldn't be neither likely or unlikely or likely, or impossible
3) Likely, there are more birds than other animals
4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws
help!! don’t know how to do it
Answer:
cot(x) + sec(x)
Step-by-step explanation:
[tex]\frac{(cos(x)+tan(x))}{sin(x)} \\\\\csc(x) = \frac{1}{sin(x)} \\\\csc(cos(x)+tan(x))\\\\(csc(x))(cos(x))= cot(x)\\\\(csc(x))(tan(x))=sec(x)\\[/tex]
Therefore, the expression equivalent to [tex]\frac{(cos(x)+tan(x))}{sin(x)}[/tex] is cot(x) + sec(x).
Multiply 81.5 and 3.5
Answer:
285.25
Step-by-step explanation:
Basically we multiply them as normal numbers so,
815*35 = 28525
Then we take the amount of spots each number had to the RIGHT of the decimal point
81.5 = 1
3.5 = 1
1+1= 2
So: 28525. move to the left 2 times to get 285.25
What is the value of x? Show your work.
Please help
Answer:
b=5√3
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +b^{2} =10^{2} \\b^{2} =10^{2}-5^{2}\\\\b=5\sqrt{3}[/tex]
The water level in an ocean bay changes at an average rate of 3 meters per hour. At this rate, how many hours would it take for the water level to change 12 meters?
please help
Answer:
4 hours
Step-by-step explanation:
You divide 12 by 3 and the answer is 4.
hope this helped
find all the possible of x for which of the below is true:
[tex] \frac{2x}{x + 3} + \frac{3}{x - 3} = \frac{8}{x^{2} - 9 } [/tex]
Answer:
x = [tex]\frac{1}{2}[/tex] , x = 1
Step-by-step explanation:
Given
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]
Multiply through by (x + 3)(x - 3) to clear the fractions
2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify
2x² - 6x + 3x + 9 = 8
2x² - 3x + 9 = 8 ( subtract 8 from both sides )
2x² - 3x + 1 = 0 ← in standard form
(2x - 1)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x - 1 = 0 ⇒ x = 1
Please help. How do you find cosine, sine, cosecant and secant with this triangle?
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangentBack to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
Trigonometric RatioAdjacent = 12Opposite = 10Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
a²+b² = c²Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
10²+12² = c²100+144 = c²244 = c²Thus, the hypotenuse is:
[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]
Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)
Nancy is going to do some painting in her room. The paint she is using costs $12.34 per gallon. It measures 11 feet by 13 feet and has an 8-foot tall ceiling. What is the total area she will paint
Answer: [tex]527\ ft^2[/tex]
Step-by-step explanation:
Given
Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]
Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]
There are five side of wall to be painted leaving only the floor
Area is given by
[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]
Mhanifa please help! This is late and I need to get it done ASAP or I will fail
Answer:
Use the ratio of corresponding sides of similar triangles.
#1
50 / x = x / 25x² = 50*25x = 25√2#2
63 / x = x / (112 - 63)x² = 63*49x = 21√7#3
100 / x = x / 8x² = 100*8x = 20√2#4
x / 18 = 18 / 16x = 18*9/8x = 81/4What is the answer to the photo down below
Answer:it's A
Step-by-step explanation:
solve -2 1/3 - (-5)=
A: 2 2/3
B: 3 2/3
C: 3 1/3
D: -7 1/3
Answer:
A. [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3} -(-5)[/tex]
[tex]-2\frac{1}{3} +5[/tex]
What slope does a horizontal line have? Use a number to fill in the blank
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
Find the substance's half life, in days.
This is t for which [tex]A(t) = 0.5A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]
[tex]e^{-0.1392t} = 0.5[/tex]
[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]
[tex]-0.1392t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]
[tex]t = 4.98[/tex]
The substance half-life is of 4.98 days.
Simplify expression and can you explain how
Answer: 64r^36
Step-by-step explanation:
On picture below
12 18 , 9 6, 2 ?
help plz i cant find the relationship
Answer:
12,18 6 inbetween
Step-by-step explanation:
Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
78215431 in international system
78215431 in indian system
International - seven eight million two hundred fifteen thousand four hundred thirty one
Indian - seven crore eighty two lack fifteen thousand four hundred thirty one
78'215'431
7'82'15'431
what is the range if the domain is???
how is the graph of y=8x^2-1 different from the graph y=8x^2
Answer:
The y-int is different -1 is the y-int.
Step-by-step explanation:
Can someone help me please
Answer:
51
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 54 and the smallest number is 3
54-3 = 51
Ted left at 8:00 a.m to walk to the dog park. It took him 30 minutes to get there.
what time did ted get to the dog park?
Answer:
8:30 am
Step-by-step explanation:
Answer:
8:30 a.m
Step-by-step explanation:
8:00
+ 30
_____
8:30 a.m
The selling price of a fan excluding VAT is Rs 1250. It is given that the VAT rate is 15 %. Find the price of the fan inclusive of VAT.
Answer:
Rs 1,437.5
Step-by-step explanation:
VAT = 15% = 15/100 × Rs 1250 = Rs 187.5
the price inclusive of VAT = Rs 1,250 + Rs 187.5
= Rs 1,437.5
Find the inverse of function f. A.f-1(x)=7x+9 B.f-1(x)=1/9x-7/9 C.f-1(x)=7/9x-1/9 D.f-1(x)=-9x-7
Answer:
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Step-by-step explanation:
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I need an Answer Immediately pls!!!!!!!!!
Answer:
2,033-993.50= 1039.50/74.25= 14
Step-by-step explanation:
not sure the exact equation but p would be 14 and you'd do something similar to that shown above
HELPP PLZZ
ASAP TYYY
Yes, this parabola is a function because it passes the vertical line test!
The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!
Hope this helps!! :)
S.NO.1
देहाल
खरिद मुल्य)- रु. 60,000
नाफा (P%)=5
विक्रय मुल्य =?
Answer:
विक्रय मुल्य=रु.63000
Step-by-step explanation:
खरिद मुल्य)- रु. 60,000 (cp)
नाफा (P%)=5 (p%)
विक्रय मुल्य =? (sp)
now,
sp=(100+p%)/100×cp
(100+5)/100×6000063000so, sp is Rs 63000.
hope it helps.
stay safe healthy and happy.Ryan works part-time at a local department store.He earns 12.50 an hour . During a one week period he worked a total of 32 hours. What was Ryan's gross income for one week
Answer:
400
Step-by-step explanation:
12.50times 32