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.
Learn more about the right-angle triangle here:
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Points a, b and c are collinear point b is between a and c find the length indicated
Points A , B and C are collinear......
URGENT WILL MARK BRAINLIEST
Show your work and solve for x and y.
3x + y = 8
2x + 4y = 12
2x+4y=12
x+2y=6--(2)(1)×1 and (2)×3[tex]\\ \rm\Rrightarrow 3x+y=8[/tex]
[tex]\\ \rm\Rrightarrow 3x+6y=18[/tex]
Subtract both
[tex]\\ \rm\Rrightarrow -5y=-10[/tex]
[tex]\\ \rm\Rrightarrow y=\dfrac{-10}{-5}[/tex]
[tex]\\ \rm\Rrightarrow y=2[/tex]
Put the value in eq(2)
[tex]\\ \rm\Rrightarrow x+2(2)=6[/tex]
[tex]\\ \rm\Rrightarrow x+4=6[/tex]
[tex]\\ \rm\Rrightarrow x=6-4=2[/tex]
Answer:
x=2, y=2
Step-by-step explanation:
-2(3x+y=8)
3(2x+4y=12)
-6x+-2y=-16
6x+12y=36
0+10y=20
y=2
3x+2=8
3x=6
x=2
Please help me with this!
Answer:
p=-7
Step-by-step explanation:
-11+10(p+10)=4-5(2p+11)
Firstly, expand the bracket
-11+10p+100=4-10p-55
Next, you collect like terms
10p+10p=4-55-100+11
20p=-140
Divide through by the coefficient of p
20p/20=-140/20
p=-7
A cookie factory makes 8 types of cookies. Each day, the factory makes 1,093 of each type of cookie. How many cookies does the factory make each day?
Answer:
8744 cookies
Step-by-step explanation:
8 × 1093
.........
9. Maria usually pays $3.10 per pound for her favorite granola. Which of the answers below is
a better deal?
A. 2 pounds for $6.49
B. 3 pounds for $10
C. 5 pounds for $14.75
D. 8 pounds for $28
What’s the answer
Answer:
c
Step-by-step explanation:
The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.
A is not a good deal because its about $3.14 for a pound
B is not a good deal because its about $3.33 per pound
D is not a good deal because its $3.50 per pound
C IS a good deal because it's $2.95 per pound
Answer:
c
Step-by-step explanation:
The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.
A is not a good deal because its about $3.14 for a pound
B is not a good deal because its about $3.33 per pound
D is not a good deal because its $3.50 per pound
C IS a good deal because it's $2.95 per pound
Help with algebra 1
(A-y)^2 +2y^3
If a=3 and y=-2
Expand [tex](x-\frac{1}{x} )^{12}[/tex] , simplifying the coefficients
Find the product of 6/4 × 12/5
Answer:
18/5
Step-by-step explanation:
6/4 x 12/5
18/5
which properties says that x+(y+3) =x(3+y)
Answer:
Commutative property
Step-by-step explanation:
addition is commutative for example 2+3=3+2
multiplication is also commutative 3*2=2×3
Help help help help help help help help help help help plsss
PLEASE HELP ME i really need this grade
Answer:
x = 2
Step-by-step explanation:
h(x) = -3x + 2
In this question, h(x) has the same meaning as y, so though this is not a standard practice, rewrite the question as
y = -3x + 2
What the question is telling you is that y = - 4
-4 = -3x + 2 Subtract 2 from both sides
-4-2 = -3x Combine
-6 = - 3x Divide by - 3
-6/-3 = x
x = 2
Write an equation for the situation then solve for x. After paying $7 for a sandwich, John has $11. With how much money did he start?
(I know the answer to the question but the steps on how to solve for x confuse me)
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18
After a cleanup, algae covers 2 miles of a coastline. The length of the coastline covered after the cleanup is $\frac{1}{3}$
1
3 of the previous length. How many miles of the coast did the algae previously cover?
The miles previously covered by algae is 6 miles
let m represent the miles of the coastline covered by algae before the clean-up
fraction of miles covered after the clean-up = [tex]\frac{1}{3}[/tex] x m = [tex]\frac{1}{3}m[/tex]
miles covered after the clean-up = 2 miles
[tex]\frac{1}{3}m[/tex] = 2 miles
to determine the value of m, make m the subject of the formula.
To do this, take the following step :
multiply both sides of the equation by 2
m = 2 miles x 3
m = 6 miles
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Ben took part in a 45km bicycle race.Ben cycled at a speed of v km/h for the entire race.Express the time taken by Ben in terms of v.
Answer:
(45/v) hours
Step-by-step explanation:
that is the answer yep
Answer:
45/v =t
Step-by-step explanation:
Cuz the normal formula is
V= d/t
Therefore
t= d/v
And u know D = 45km so..
t=45/v
-9(1 - 10n) - 2(3n + 9)
Step-by-step explanation:
-9(1-10n)-2(3n+9)
-9+90n-6n-18
-9-18+90n-6n
-27+84n
3(-9+28n)
Find tan A of a RIGHT TRIANGLE with side lengths b = 8 and c = 12
Which expression is NOT equivalent to 60 + 18?
6(10+3)
6(10+4)
3(20 + 6
2(30 +9)
Answer:
6(10+4)
Step-by-step explanation:
The real question gives 78
Expand all the brackets in the option
and compare if it gives the answer real expression i.e 78
Highlight the correct symbol.
<, >, =
1,404,000 ________ 1,040,000
Answer:
>
Step-by-step explanation:
1,404,000 > 1,040,000
Check whether the points ( -2, 3) , (8,3) ,(6,7) are the vertices of a right triangle
Answer:
Given coordinetes of triangle A(−2,3),B(8,3) and C(6,7)
AB=
[8−(−2)]
2
+(3−3)
2
=
(10)
2
+(0)
2
=
100
AC=
[6−(−2)]
2
+(7−3)
2
=
(8)
2
+(4)
2
=
64+16
=
80
BC=
(6−8)+[7−(2)]
2
=
(−2)
2
+(4)
2
=
4+16
=
20
If ABC is a right angled triangle, then square of one side must be equal to sum of suare of other two sides.
AB
2
=(
100
)
2
=100
and AC
2
+BC
2
=(
80
)
2
+(
20
)
2
=100
∴AB
2
=AC
2
+BC
2
thus triangle satisfies the Pythagoras theorem
Hence, the triangle is right angled triangle.
Step-by-step explanation:
The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?
Answer:
A = 7200(1.04)^3
A = 8099
Step-by-step explanation:
DECIDE!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
DA,DG,DC are tangents of the circles so have the same length.
NB: F is the orthocenter of triangle HDF
85% of what number is 27.2
4. Your gross pay is $459, they take out 6.25% for income taxes and 7.65% for FICA
(Social Security & Medicare). How much is your net pay?
If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.
Answer:
6.25%*459=28.6875
7.65%*459=35.1135
459-28.6875=430.3125
430.3125-35.1135=395.199
PLEASE HELP WILL GIVE BRAINLIEST ASAP! I REALLY NEED HELP WITH PART B ESPECIALLY
Part A: Find a rational number that is between 9.5 and 9.7. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Answer:
Step-by-step explanation:
9.59277626267 is irrational.
Because it has many ifinite decimals
Divide the following integers.
helllp please
-12 � 4=
-3
-8
-48
3
Answer:
-48Step-by-step explanation:
-12 × 4
= -48
#Let'sLearnAnswer:
[tex] - 12 \times 4 \\ \\ = - 48[/tex]
it's was helpful to you
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
Lamar works as a tutor for $12 an hour and as a waiter for $14 an hour. This month, he worked a combined total of 100 hours at his two jobs.
Let "t" be the number of hours Lamar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
total earned (in dollars) =__________
Answer:
-2t + 1400
Step-by-step explanation:
If t represents the number of hours Lamar worked as a tutor, the number of hours he worked as a waiter can be represented by 100 - t.
Create an equation to represent the situation:
12t + 14(100 - t) = total earned
Simplify:
12t + 1400 - 14t = total earned
-2t + 1400 = total earned
So, the expression for the amount he earned is -2t + 1400
The water was pumped out of a backyard pond. What is the domain of this graph
Answer:
D. Real numbers from 0 to 12
Step-by-step explanation:
The domain is the possible x-values and because the depth can not go below 0, the amount of time stops at 12.
Time also can not go below 0 so we are left with real numbers from 0 to 12
16d+23=14(d−2) what does d=
Answer:
Answer: d is -25.5
Step-by-step explanation:
[tex]16d + 23 = 14(d - 2)[/tex]
open brackets:
[tex]16d + 23 = 14d - 28[/tex]
collect d terms together:
[tex]16d - 14d = - 28 - 23 \\ 2d = - 51 \\ d = - 25.5[/tex]
2(3m+6n) + 3(5m-2n)+ 5(-6m+n)
Answer:
[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]
open the brackets:
[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]
group the coefficients of m and n in their brackets:
[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]
then operate the brackets:
[tex] = - 9m + 11n[/tex]