Consider right angle triangle PQR below Which expressions are equivulant to tan R
We know
[tex]\\ \sf\longmapsto tan\theta=\dfrac{Perpendicular}{Base}[/tex]
P is right angle .If R be theta then PQ be perpendicular and PR be Base[tex]\\ \sf\longmapsto tan(<R)=\dfrac{PQ}{PR}[/tex]
The expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The triangle PQR is given,
∠R=90°
As we know that the tangent is the ratio of the perpendicular and base.
Geometry is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
When P is right-angled and R is theta, PQ is perpendicular, and PR is the base if P is right-angled.
tanθ=P/B
tanR=PQ / PR.
Thus, the expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.
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Verbal expression x to the third power times y to the 4th power???
Step-by-step explanation:
First;
x to third power=x³
y to 4th power=y⁴
According to condition:
expression=x³ × y⁴
=x³y⁴
2.
If AB = 9x - 2 and BC = 6x + 13,
then BC = ?
A
B
С
Answer:
AB = 9x - 2BC = 6x + 13Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
Step-by-step explanation:
Solution,
AB=9x-2
BC=6x+13
Now,
AC=AB+BC
=9x-2+6x+13
=15x+11
does (3,-4) lies on the locus x2+y2=25
Answer:
Yes
Step-by-step explanation:
Both arguments are squared so the equation are in the form of a circle.
A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.
The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Let plug in what we know
[tex]3 {}^{2} + ( - 4) {}^{2} = {5}^{2} [/tex]
[tex]9 + 16 = {5}^{2} [/tex]
So 3,-4 is on the locus of the circle.
7(9) = 9(7)
A) Commutative Property of Multiplication
B) Associative Property of Multiplication
C) Neither
Answer:
A) Commutative
Step-by-step explanation:
The Associative has to do with re-grouping numbers. There are only two numbers so this does not apply here. Commutative is where you change the order; that's what the equation is demonstrating.
Answer:
The Commutative Property.
Step-by-step explanation:
The commutative property says that when multiplying, you can change the order without changing the answer.
Is the relation {(9, 1), (8, -2), (7, 0), (6, 5)} a function?
Yes or No
Answer:
Since there is one value of y for every x in the relation above, yes this relation is a function.
I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!
Denver is 5,280 ft above sea level. Stone Mountain is 1,686 ft above sea level. How much higher is
Denver than Stone Mountain? Explain how you got your answer.
Answer:
3,594
Step-by-step explanation:
It is asking *than* which means subtraction. so simply subtract and you get the answer
not hard!
i dont know what to do help its timed
Answer:
The choose 3.
[tex]f(x) = 0.5(0.2^{x} )[/tex]
f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1
f(2)=0.5(0.2²)=0.5×0.04=0.020
I hope I helped you^_^
Can someone help with this !!
Answer:
[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]
A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those
surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. Ifthere were 1,000 American college students in a room, hov-
many would you expect to prefer soccer?
9.10
B
D
6
There are 60 students that prefer soccer
The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%
6% of the students surveyed prefer soccer
The second step is to determine the number of students that prefer soccer
Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed
[tex]\frac{6}{100}[/tex] × 1000 = 60 students
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please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
The perimeter of a square is 20ft. If you increase the length of the square by 2 ft and decrease the width by 1 foot what is the area in square feet of the new figure
Answer:
132 square feet
Step-by-step explanation:
A recipe that can make 8 jumbo blueberry muffins calls for 1 1/2 teaspoons of baking powder. How much baking powder is needed to make 3 dozen jumbo muffins?
Please make it simple
1 dozen = 12
3 dozen = 3 x 12 = 36
36/8 = 4.5
They need 4.5 times the amount:
4.5 x 1.5 teaspoons = 6.75 teaspoons ( 6 3/4)
You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?
Answer:
DCC
Step-by-step explanation:
CDDCDC
Different type of spaghetti dinners is 8
What is combination ?
"The number of possible arrangements in a collection of items where the order does not matter."
For 4 different shaped of noodles = ⁴c₁
⁴c₁ = 4
For two kinds of cheese = ²c₁
²c₁ = 2
Now , multiplying these 4×2 = 8
Hence, 8 type of spaghetti dinners
For more about combination
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evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
what is the answer to 15 and 18? pls help it will mean a lot:)
Answer and Step-by-step explanation:
15. [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]
-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex] (Mixed number)
Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).
-1.35 x 100 = -135
[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]
(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)
18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]
4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]
4.4545.....
Multiply the number by 100 (because there is 2 numbers being repeated.
445.4545....
Now subtract by the original number.
445.4545....
- 4.4545....
441.00
Write this as an equation:
(100 x fraction) - fraction = 441 (100 x fraction) - fraction = 99 x fraction
99 x fraction = 441 (Divide both sides by 99)
fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])
#teamtrees #PAW (Plant And Water)
what’s is the area pls pls
Answer:
Step-by-step explanation:
Area of the rectangle = length * width
= (9x - 2)(2x + 5)
Use FOIL method
= 9x*(2x) + (9x)*(5) + (-2)*(2x) + (-2)*5
= 18x² + 45x - 4x - 10 {Combine like terms}
= 18x² + 41x - 10
1/4 of a number is 6.What is 50% of that number?
Answer:28
Step-by-step explanation:
I would like to know how to solve these sort of questions
Answer:
Step-by-step explanation:
10) First find the capacity of the swimming pool.
Volume of the swimming pool= length * depth *width
= 15 * 1.5 * 5
= 112.5 cubic meter
1 cubic meter= 1000 liters
112.5 cubic m = 112.5* 1000 = 112,500 liters
Quantity of salt added to every 10 000 liters = 2 Kg
Quantity of salt added to 112,500 liters = [tex]\dfrac{2}{10000}*112500[/tex]
= 22.5 Kg
[tex]\sqrt{\frac{36}{169}}[/tex]
and I'm like,... Sorry wut?,... help please!
[tex] \implies \sqrt{ \dfrac{36}{169} } [/tex]
[tex] \implies \sqrt{ \dfrac{6 \times 6}{13 \times 13} } [/tex]
[tex] \implies \sqrt{ \dfrac{ {6}^{2} }{ {13}^{2} } } [/tex]
[tex] \implies \sqrt{ \left(\dfrac{ {6} }{ {13} } \right)^{2} } [/tex]
[tex] \implies {\left(\dfrac{ {6} }{ {13} } \right)^{2 \times }}^{ \frac{1}{2} } [/tex]
[tex] \implies \left(\dfrac{ {6} }{ {13} } \right)[/tex]
This is your answer.
The answer is 6/13 sq rt of 36 is 6 and sq rt of 169 is 13.
which postulate or theorem, if any, could you use to show the two triangles are congruent?
Answer:
ASA theorum
Step-by-step explanation:
we are given 1 side and 1 angle, other angle is vo of it corresponding equal angle
Two numbers have an average of 18, and a difference of 10. Form two equations and solve them to find these
two numbers.
(1-cosx)(1+1/cosx)= sinx tanx
Answer:
Step-by-step explanation:
[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]
[tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]
= Sin x * Tan x
Hence proved
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.4 feet long, if the remaining piece needs to be 2.35 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth. PLZZZ HELPP!!!!
Let's assume that the original length of the piece of board is L.
Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:
L - 3.4ft - 3.4ft = L - 6.8ft long.
Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:
( L - 6.8ft) = 2.35×3.4ft
solving that for L we get:
L = 14.79ft
Rounding to the nearest tenth, we get:
L = 14.8ft
You should buy a piece of board that is 14.8 feet long.
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Ok guys i need HELP so im new to this school, and there is this boy he is rlly FINE, and i rlly like him, i think he likes me back, but i dont know. so far, i caught him staring at me in class, he complimented my waterbottle, and he trys to keep a coversation going. I play softball, he plays baseball, and he thinks thats cool i play softball, oh and he always begs me to pick him to be on my team for pe class. do u think he likes me? if so how can i make him like me more. and how do i tell him i like him?
Answer:
girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.
Step-by-step explanation:
Marking brainliest
Don’t know what to write for the last 2
Answer:
Business, management, marketing and technology.
Engineering, manufacturing and industrial technology.
i am not sure but i hope it will help you.
please mark me as brainlest.
PLEASE PLEASE TRANSLATING A SENTENCE INTO AN EQUATION
The difference of Jose's age and 21 is 58
Use the variable j to represent Jose's age.
Answer:
j - 21 = 58
Step-by-step explanation:
happy to help if you have any others i can help you
Answer:
j - 21 = 58
Step-by-step explanation:
if x=2,y=3 and z=4 find yz÷x 10x+7xz
What is the radius of a circular piece of paper whose circumference is 11
Answer:
well the circumference is the area of the circle so if you know the diameter then you divide that number by 2
help please u can choose more than 1
Answer:
[tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex]
Step-by-step explanation:
Both [tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex] are equal to 0.54 as a repeating decimal