The length of leg g given the length of leg f and angle G in the right triangle is 36.3 inches.
What is the length of leg g ?
A right triangle is a 3 sided polygon that is made up of an hypotenuse. One of the angles measure 90 degrees.
G = Tan G x f
Tan 73 x 11
3.3 x 11 = 36.3 inches
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What is 2x times 3x............................
Answer:
What is 2x times 3x
6x
Step-by-step explanation:
3•2=6
what is 6/7 of2/3? pls help
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Answer:
4/7
Step-by-step explanation:
If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
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A park in the shape of a right triangle, one leg of the triangle is 2 kilometers long, the hypotenuse measures 2.9 kilometers how long in kilometers is the other leg?
Answer:
2.1 kilometers
Step-by-step explanation:
Pythagoras' Theorem
a^2 + b^2 = c^2
2^2 + b^2 = 2.9^2
2.9^2 - 2^2 = b^2
8.41 - 4 = 4.41
b = √4.41
b= 2.1
What is the PE of an object that is 15kg that is 5.0 M above the ground?
Answer:
735 JStep-by-step explanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
PE = 15 × 9.8 × 5
We have the final answer as
735 JHope this helps you
Ready mathematics lesson 15 quiz
Answer:
question please I'm waiting
Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
log x + log (x-3) = 1
Given:
The logarithmic equation is:
[tex]\log x+\log (x-3)=1[/tex]
To find:
The value of x.
Solution:
Properties of logarithm used:
[tex]\log a+\log b=\log (ab)[/tex]
[tex]\log 10=1[/tex]
[tex]\log x[/tex] is defined for [tex]x>0[/tex].
We have,
[tex]\log x+\log (x-3)=1[/tex]
Using properties of logarithm, we get
[tex]\log [x(x-3)]=\log 10[/tex]
[tex]x^2-3x=10[/tex]
Splitting the middle term, we get
[tex]x^2-5x+2x-10=0[/tex]
[tex]x(x-5)+2(x-5)=0[/tex]
[tex](x-5)(x+2)=0[/tex]
[tex]x=5,-2[/tex]
In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:
[tex]x=5[/tex]
Therefore, the value of x is 5.
name the property illustrated. 6 + (4+9) = (6 + 4) + 9
Answer:
associative property
Step-by-step explanation:
happy to help :)
Answer:
Associative Property
Step-by-step explanation:
The property says you can regroup the three numbers being added.
(a + b) + c = a + (b + c)
Either add a and b first, then add c, ...
or, add b and c first, then add that result to a.
please help with this question?!
Answer:
120 yd²
Step-by-step explanation:
The solid has 5 faces.
Bottom: rectangle 6 yd by 3 yd
Left: rectangle 8 yd by 3 yd
Right: rectangle 10 yd by 3 yd
Front & Back: 2 triangles 6 yd base and 8 yd height
area = 6 * 3 + 8 * 3 + 10 * 3 + 6 * 8
area = 72 + 48
area = 120
Answer: 120 yd²
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%
The Percentage increase in the purchase price each year is 4.5%.
The given function is:
[tex]V(t)=P(1.045)^t[/tex]
Where P is the purchase price of the baseball card and t is the time.
What is a function?A function is a rule that establishes a relation between two variables.
[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]
[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]
Percentage increase in the purchase price each year
=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]
[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]
[tex]=4.5%[/tex]%
Hence, the Percentage increase in the purchase price each year is 4.5%.
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Jerry has four jackets in his closet. Without looking, he reached into his closet, pulled out a jacket, and then put it back in the closet. What is the probability that Jerry will randomly select the same jacket a second time?
Answer:
1%
Step-by-step explanation:
.
In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
1843:6754.9709254546.,657675
Step-by-step explanation:
The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔRST
Now , the measure of s = 620 cm
The measure of side r = 210 cm
And , the measure of angle m∠R = 17°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin ( 17 )° / 210 = sin ( S ) / 620
Multiply by 620 on both sides , we get
sin ( S ) = ( 620 / 210 ) x 0.2923717
On further simplification , we get
sin S = 0.86319265203
Taking inverse on both sides , we get
S = sin⁻¹ ( 0.86319265203 )
S = 59.68°
S = 59.7°
Therefore , the value of S is 59.7°
Hence , the measure of angle m∠S = 59.7°
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prove the following identity showing all steps:
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} =-sec(x)[/tex]
please help fast
Answer:
See solution below
Step-by-step explanation:
Given the expression
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]
Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute
[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]
2 in.
2 in.
2 in.
Fine the area
Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure of angle 6?... Help
Answer:
54°
Step-by-step explanation:
Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.
So angle 6 is 54°.
Alternative
Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.
So angle 4 + angle 6 = 180°.
Find angle 4 first:
180° - angle 3 = angle 4
180° - 54° = 126°
So the measure of angle 6 is
180° - 126° = 54°
Answer:
54 degrees
Step-by-step explanation:
Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number
Answer:
Real number
Rational number
Step-by-step explanation:
which angle is supplementary to.... asap plz
Answer:
Angle AGC
Step-by-step explanation:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
Pls help with thissss
HELP ASAP
What is the 10th term in the geometric sequence below?
−4, 12, −36, 108, ...
a)-236196
b)-78732
c)236196
d) 78732
Answer:
78732
Step-by-step explanation:
I HELP NEED ASAP PLZ HELP ME
Answer:
Step-by-step explanation:
you would do 60 divided by 5 which would get you 12
then you multiply 12 by 3 which would be 36
lastly you would multiply 36 by 7 which would get you
252
Answer:
so first you take 7 and you multiply by 60 bc that way you will have the minutes 60x7=420 then you divide 420 by 5 and get 84 then 84x3=252
Step-by-step explanation:
Find the surface area of the composite solid. 6 ft 4 ft 1 5 ft 5 ft
Sa Of Rectangular Prism - 65
Sa Of Pyramid - 85
TOTAL SURFACE AREA - 150
What are two partial products you would add to find 21 x 509?
HELP PLEASE ANSWER I NEED HELP
Answer:
x=30
Step-by-step explanation:
x/5-16=-10
x/5=-10+16
x/5=6
x=6×5
x=30
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
2,827.43
Step-by-step explanation:
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
x+y=1212
x-y=518
please help me with it
Here,
x+y=1212••••••[tex]\bold{equation~I }[/tex] x-y=518••••••[tex]\bold{equation~II }[/tex]ADDITIONALL,both two equation.
we get that,
x+y+x-y=1212+5182x=1730x=865so,
x-y=518865-y=518y=860-518y=347What is the volume of the right prism with height h=14cm, if the base of the prism is a triangle ABC with side AB=9cm and the length of the altitude to that side is ha= 6 cm. It is not 476cm2 btw.
Answer:
378 cm
Step-by-step explanation:
Ross drives 305 miles in 5 hours. If Ross continues to drive at the sqme rate, how many miles can he drive in 15 hours?
Answer:
915 miles
Step-by-step explanation:
15 divided by 5 is 3
305 times 3
Answer:
915 miles
Step-by-step explanation:
If ross drifves 305 miles in 5 hours, then he would drive 915 miles because 5 hours multiplied by 3 is 15 hours and 305 multibplied by 3 is 915