If log 5 = 0.699 and log 3 = 0.477, find log 45 without using
the log key.
Answer:
1.653
Step-by-step explanation:
Write log45 as a product of its prime factors
log45= log3^2 * log5
Substitute the given logarithms to the respective numbers.
Remember the laws of logaarithms that * changes to +
log 45 = 0.477*2 + 0.699
You will find that log 45 = 1.653
From the given logarithmic values the value of log45 derived as 0.1590.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
Given that, log5=0.699 and log3=0.477.
Here, log45 can be written as log9×log5=log3²×log5
= 0.477²×0.699
= 0.1590
Therefore, the value of log45 is 0.1590.
To learn more about the logarithmic equation visit:
https://brainly.com/question/14406101.
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It costs Forest $0.39 to make a cookie. He decides to sell his cookies at a mark up of 85%. Is the final amount cheaper or more expensive than the original price?
Whoever answers correctly will get Brainliest.
Have an amazing day!! :))
How many solutions does this system of equations have? Explain how you know.
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Mountain officials want to build a new ski lift from B to C, as shown in the figure below. The distance from A to C is 1540 feet. They measure angle DAC to be 38º and angle DBC to be 25º. What is the distance from A to B ? Round your answer to the nearest tenth of a foot.
Answer:
there is a 13 degree difference from DBC and DAC
with that you divide 1540 by 13 as you get that 118.461 feet
that means that there is a 118.461 difference from B to C and A to B
so the answer is either 1658.461ft or 1421.539ft I am not sure if that is correct or not but best of luck mate
Square 1 has a area of 24 square units if square 2 is half the size what is the ratio of the area of square one to square two?
Answer:
Step-by-step explanation:
I'm going to guess that 1/2 the size means the sides are 1/2 the size.
Square 1 has an area of 24. The sides are s, so the area is found by using s^2
The second square is made from sides that are 1/2 s
Area = 1/2 s * 1/2 s
Area = 1/4 s^2
Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 = 1/0.25
Each side of a square potholder is 21 centimeters long.
What is the area of the potholder?
The answer is a 441 cm area
what is the unknown number in sequence 2
The ‘peak’ of a transverse wave is call the
Answer:
λ
Step-by-step explanation:
1 . What is the distance between the two points. (0,5 1,3), (-0,4, -1,3) ?
Answer:
Step-by-step explanation:
x1 = 0.5 x2 = -0.4 y1 = 1.3 y2 = -1.3
[tex]\sqrt{(x2 - x1)^{2}+(y2 - y1)^{2}[/tex]
[tex]\sqrt{(-0.4 - 0.5)^{2}+(-1.3 - 1.3)^{2}[/tex]
=2.75
Find the measurements of the numbered angles in each kite.
Answer:
∠1 = 90°
∠2 = 26°
Step-by-step explanation:
Find the value of x
Answer: 38
Step-by-step explanation:
PLEASE HELP FAST!!! ILL MARK AS BRAINLIEST!!!!what is the area and perimeter of a box that is x-3 and x+9?
Answer: x^2 +6x-27
Step-by-step explanation:multiply x and x. Multiply 9 and -3. multiply x and 9, then multiply x and -3. Add 9x+-3x= 6x
x^2 +6x -27
The distance from Point C to the tower at Point A is 1.2 miles, while the distance from Point C to the tower at Point
Bis 1.8 miles. If mZACB=81", what is the distance, to the nearest tenth of a mile, between the water towers?
Can someone help me with this
Answer:
its red
Step-by-step explanation:
math. lol
2
What is the value of x in the equation 3
-18?
-56
-52
52
56
Answer:
sorry
Step-by-step explanation:
plz send full question
Please help Me ASAP Please
Answer:
217/31=7. He needs to run 7 miles per day.
PLEASE HELP GEOMETRY ASAP! 20 POINTS REAL ANSWERS ONLY OR WILL BE REPORTED AND DELETED WITH NO POINTS!!
I thought it was B, but it says it's wrong. Its definitely not D, so A or C?
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Answer:
A) B = 37.2°, b = 309.1, c = 382.3
Step-by-step explanation:
You know the third angle must be ...
B = 180° -131.6° -11.2°
B = 37.2° . . . . . . eliminates choice D
You know the two missing sides are both longer than 99.3, eliminating choice C.
Since angle C is the largest angle, side c is the longest side, eliminating choice B.
By the process of elimination, we know the correct choice is A.
__
The Law of Sines will tell you the length of side C is related to the other triangle values by ...
c/sin(C) = a/sin(A)
c = (99.3 ft)×sin(131.6°)/sin(11.2°)
c ≈ 382.3 ft . . . . matches choice A
Answer choices- 4, 64, 240, 116, 68, 105, 480, 400 (20 points)
Can I please get help with this
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Answer:
35x + 20 ≥ 1000x ≥ 28Step-by-step explanation:
The number of filled bags will be 35 for each hour (x) that Jackson works, in addition to those already filled. So, the total number filled after x hours is ...
35x + 20
We want that number to be at least (greater than or equal to) 1000, so the relation is ...
35x +20 ≥ 1000
__
To solve this, we first subtract 20:
35x ≥ 980
Now, we can divide by the coefficient of x.
x ≥ 980/35
x ≥ 28 . . . . . the solution
if 5 miles= 8 km, convert 40 mules to kilometers
Answer:
64.3738
Step-by-step explanation:
Answer:
64km
Step-by-step explanation:
5miles= 8km
40/5= 8
8x8= 64km
What is the area of this
Answer:
your answer will be 699.78 km
Step-by-step explanation:
Kyle bought some boxes of donuts. There were 4 donuts in each box, and Kyle bought 76 donuts in all. Write an equation, that when solved, will tell how many boxes, b, of donuts Kyle bought?
Answer:
b=76/4
Step-by-step explanation:
Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers
Answer:
The answer is 19 boxes
Step-by-step explanation:
Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)
What is the height of a triangle whose base is 36 inches area is 234 Square inches
Answer:
hb will = 3in/ three in
question in picture(explain if u can it helps alot)
Answer:
4z + 2q
Step-by-step explanation:
there is 4 "z" and 2 "q"
Answer:
4z+2q
Step-by-step explanation:
combine like terms
combine all the z’s and all the q’s
A circle with a radius of 1 in. is inscribed in a right triangle with legs of 3 in. and 4 in. If a point is randomly chosen within the triangle, what is the probability that the point is NOT also in the circle?
Answer:
P = (6-π)/6Explanation:
Circle Area:
CA = 1²×π
CA ≈ π in²
Triangle Area:
TA = 3×4/2 = 6 in²
Probability:
P(point not in circle) = (6-π)/6 ≈ 0.48 ≈ 47.64%
2, 6, 10, 15, ...
O Arithmetic
O Geometric
O Neither

Given:
The sequence is:
2, 6, 10, 15,...
To find:
Whether the given sequence is Arithmetic, Geometric, Neither.
Solution:
We have,
2, 6, 10, 15,...
Different between consecutive terms are:
[tex]6-2=4[/tex]
[tex]10-6=4[/tex]
[tex]15-10=5[/tex]
Since [tex]4\neq 5[/tex], therefore the given sequence has no common difference. It means it is not an arithmetic sequence.
Ratio of consecutive terms are:
[tex]\dfrac{6}{2}=3[/tex]
[tex]\dfrac{10}{6}=\dfrac{5}{3}[/tex]
Since [tex]3\neq \dfrac{5}{3}[/tex], therefore the given sequence has no common ratio. It means it is not a geometric sequence.
Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.
Answer it right and i'll try to give you brainliest.
Answer:
384 cm²
Step-by-step explanation:
Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.
[tex]\boxed{area \: of \: triangle = \frac{1}{2} \times base \times height }[/tex]
Area of a triangular face
= ½ ×12 ×10
= 60 cm²
[tex]\boxed{area \: of \: square = side \times side}[/tex]
Base area of pyramid
= 12 ×12
= 144 cm²
∴ Surface area of pyramid
= 4(60) +144
= 240 +144
= 384 cm²
which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2
Answer:
x =30/19 and y =2/19
Step-by-step explanation:
5x + y = 8
x + 4y = 2
then
5x + y = 8
-5(x +4y =2)
5x + y = 8
-5x - 20y = - 10
0 +y - 20y = -2
- 19y = -2
y = 2/19 then
5x + 2/19 = 8
5x = 152-2/19
5x/5 =150/19 *1/5
x =30/19
PLEASE HELP| calculate measure of angle H. round answer right nearest tenth of a degree
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Answer:
28.1°
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(H) = 8/17
H = arcsin(8/17)
H ≈ 28.1°
Which ach represents the inequality < -1 + 2x?
Answer:
3rd one
Step-by-step explanation: