The correct solving of the decimal shows that 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
How to solve the decimals?From the information given, it should be noted the students calculations are incorrect. Therefore, 3.675 ×10 = 3.6750, 3.675 × 100 = 3.67500 and 3.675 × 1,000 = 3.675000 are incorrect.
In this case, when multiply by raise to power 10, it's important to shift the decimal based on the number being raised to power.
Therefore, 3.675 × 10 = 36.750, 3.675 × 100 = 367.5 and 3.675 × 1,000 = 3675.
Learn more about decimals on:
https://brainly.com/question/1015576
The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).
The distance from the earth to venus is an illustration of the sine ratio
The distance from the earth to venus at that time is 1.12 au
How to determine the possibe distance?See attachment for the diagram that illustrates the complete question.
Start by calculating the angle V using the following sine ratio
SE/sin(V) = VS/sin(E)
This gives
1/sin(V) = 0.723/sin(39.4)
Take the inverse of both sides
sin(V)/1 = sin(39.4)/0.723
Evaluate the quotient
sin(V) = 0.8779
Take the arcsin of both sides
V = 61.4
Calculate the measure of angle S
<S + <V + <E = 180
This gives
<S = - <V - <E + 180
Substitute known values
<S = -61.4 - 39.4 + 180
<S = 79.2
The distance (VE) is then calculated using the following sine ratio
VE/sin(S) = VS/sin(E)
This gives
VE/sin(79.2) = 0.723/sin(39.4)
Multiply bot sides by sin(79.2)
VE = sin(79.2) * 0.723/sin(39.4)
Evaluate the product
VE = 1.12
Hence, the distance from the earth to venus at that time is 1.12 au
Read more about sine ratios at:
https://brainly.com/question/2920412
Making late payments on credit card bills has what kind of effect on a person's credit score?
a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.
Answer:
A. Late payments have a negative effect on a person's credit score.
Step-by-step explanation:
Hope this Helps!
Answer:
A late payments have a negative effect on a persons credit score
Step-by-step explanation:
A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.
Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?
Answer: 15 months
Step-by-step explanation:
Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}
∘
. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft
The situation forms a right angle triangle.
What is a right angle triangle?Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.
Therefore, the height of the kite form the ground can be found as follows;
sin 33° = opposite / hypotenuse
sin 33° = h / 75
cross multiply
h = 75 × sin 33
h = 40.8479276261
h = 40.84
The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft
learn more on right triangles here: https://brainly.com/question/25799394
Answer:
44.35
Step-by-step explanation:
i did it
NEED HELPPPP!!!!!!!!!
Answer:
i think d but i don't know for sure
Which of the following situations best completes the following statement:
When subtracting an integer is the same as _____.
multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite
Answer:
The answer would be adding its opposite.
Answer:
its subtracting its opposite
Step-by-step explanation:
Which pair shows equivalent expressions?
2x+10=-2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x-5)
-2(x-5)=-2x-10
Answer:
-2(x-5)=-2x-10 = -20
or
-2(x-5)=-2x-10 = 20
PLEASE HELP ILL GIVE BRAINLIEST
james bought a movie ticket for $4.05. he paid the movie ticket with quarters and dimes. if james used 18 coins in all, how many quarters (q) and dimes (d) did he use?
Answer:
15q + 3d
Step-by-step explanation:
15 quarters = 3.75
4.05 - 3.75 = 0.30
3 dimes = 0.30
sooo.
3.75 (15q) + 0.30 (3d) = 4.05
Factorise (a-2b) (3+x)
Answer: ax - 2bx plus 3a - 6b
Step-by-step explanation: I’m not so sure with this but it might help
Do number 9 please thank you
Answer:
82cm
Step-by-step explanation:
ihope it helps thanks
please answer quick!! what are the exact values of x and y? i’ll give brainlist
Answer:
x = 20
y = 10√3, or 17.32
Find the circumferences of both circles to the neartlest tenth
Answer with step by step explanation
First, let us find the circumference of the small circle.
The radius of the small circle is 5 cm.
So, now let us see the formula which is needed to find the circumference.
C = 2 π r
Let us find it now.
Circumference of the small circle.
C = 2 π r
C = 2 × 3.14 × 5
C = 31.4 cm
≈ 30 cm → nearest 10th
Now let us find the circumference of the big circle.
The radius of the big circle is 10 cm.
C = 2 π r
C = 2 × 3.14 × 10
C = 62.8 cm
≈ 60 cm → nearest 10th
Vertical angles are always adjacent. True False
Answer:
False
Step-by-step explanation:
Vertical angles are not always adjacent, but they are always congruent.
Hope that helps!
Answer:
False
Step-by-step explanation:
Hope it will help you*
A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Boris chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Answer: 47/90
Step-by-step explanation:
3/10+2/9=47/90 somehow ig
Find the additive inverse of 4x + 3 .
Answer:
-4x - 3
Step-by-step explanation:
4x + 3 + y = 0
y is additive inverse
y = -4x - 3
-4x - 3 + 4x + 3 = 0
0 = 0
cancels out
The radius of a circle is 16 yards. What is the circle's circumference?
Answer:
100.5309649149
Step-by-step explanation:
circumference = 2π(r)
Since you already have the radius of the circle, you would have to multiply the radius by 2 to get the diameter which is the full width of the circle . Then, multiply the result by π, or 3.14 and then round how you are asked to.
A rectangle has an area of 54 sq. cm and a length of 6 cm. Find its width
Answer:
9 cm
Step-by-step explanation:
A= lw
54=6w
9=w
Answer:
9 cm
Step-by-step explanation:
⇒ Area of rectangle = (L)(B)
Substitute the length, breadth, and the area in the formula:
⇒ Area of rectangle = (L)(B) = 54 cm²
⇒ (6)(B) = 54 cm²
Divide 6 both sides:
⇒ (6)(B)/6 = 54/6 cm²
⇒ B = 9 cm
Thus, the measure of the width is 9 cm.
What can you take from 60 to make 20?
40.
60 - 20 = 40.
Very simple.
How do you find the arc length of the partial circle?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]
So
Arc length
L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8unitsAn electronics store has determined that 45% of its customers buy a wide-screen television. describe the model that you could use to find the experimental probability that the next three television-buying customers will buy a wide-screen television
The model that you could use to find the probability is a binomial model with parameters n = 3, X = 3 and p = 0.45.
For each TV bought, there are only two possible outcomes, either it is wide screen, or it is not. The probability of a TV bought being wide screen is independent of any other TV, hence the binomial distribution is used to solve this question.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
In this problem:
45% of its customers buy a wide-screen television, hence p = 0.45.The experimental probability that the next three television-buying customers will buy a wide-screen television is P(X = 3) when n = 3.More can be learned about the binomial distribution at https://brainly.com/question/24863377
this question is too hard
Answer:
7.50 is the answer to the question
Answer:
$7.50 for 3 bottles of water.
Step-by-step explanation:
It is given that 4 bottles of water costs $10. Find the unit price per bottle of water, by simply dividing 4 from both the bottle of water as well as the cost:
(4 bottles of water/$10)/(4/4) = (1 bottles of water/(10/4)) = 1 bottles of water/2.5
Each bottle costs $2.50
Check. Multiply the unit price per amount of units bought:
2.50 x 4 = 10
Next, find the unit price for 3 bottles. Multiply the unit price with the amount of bottles bought:
$2.50 x 3 = $7.50
$7.50 is your answer.
~
Please help I will give brainliest.
Answer:
x = - [tex]\frac{3}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
4x² + 4x = 3 ← factor out 4 from each term on the left side
4(x² + x) = 3
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² + x
4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) = 3
4(x + [tex]\frac{1}{2}[/tex] )² - 1 = 3 ( add 1 to both sides )
4(x + [tex]\frac{1}{2}[/tex] )² = 4 ( divide both sides by 4 )
(x + [tex]\frac{1}{2}[/tex] )² = 1 ( take square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± 1 ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± 1
then
x = - [tex]\frac{1}{2}[/tex] - 1 = - [tex]\frac{3}{2}[/tex]
x = - [tex]\frac{1}{2}[/tex] + 1 = [tex]\frac{1}{2}[/tex]
help me with this math question pls
What's the question???
Answer:
Question Please
Step-by-step explanation:
I will solve it
.
The dimensions of a triangle are shown below.
What is the area of the triangle?
Step-by-step explanation:
pls put the image as well becoz the dimensions are not shown
Which of the following is equivalent to (6x^4)(3x^2)?
1.(6*3)x^(4*2)
2.(6+3)x^(4*2)
3.(6*3)x^(4+2)
4.(6+3)x^(4+2)
Answer:
3.
Step-by-step explanation:
remember, when we multiply the same basic term, we add the exponents.
so,
x⁴×x² = x⁶
now, when there are other factors, we need to multiply them in too.
so,
(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)
4) Good Work Company charges by the word to run classified ads. This company charges $12 for
the first 15 words and $0.55 for each additional word.
a. How much would a 25-word classified ad cost?
b. How much would a 50-word classified ad cost?
Equation::
Rate of change=0.55$If words be x
Equation in slope intercept form
y=12+0.55x, x≥15So
#1
More words=25-15=10
Cost:-
y=12+0.55(10)=12+5.5=17.5$#2
Extra words=50-15=35
Cost:-
y=12+0.55(35)=12+19.25=29.25$Answer:
a. $17.50
b. $31.25
Step-by-step explanation:
a.
For $12 you get 15 words.
For a 25-word ad, you need 10 more words than the 15 you get for $12, so you must add 10 words at $0.55 per word.
cost = $12 + 10 × $0.55
cost = $12 + $5.5
cost = $17.50
b.
50 words is 25 words more than 25 words, so you must pay for 25 words more than the cost of the 25-word ad in part a.
cost = $17.50 + 25 × $0.55
cost = $17.50 + $13.75
cost = $31.25
7 of 7
Text-to-Speech
7. The area of a rectangle is 84 square meters. The length of the rectangle is 5 meters
shorter than the width. What is the length, in meters, of the rectangle?
А 4
B.7
C 12
D 21
10) Ryan plans to borrow $4,500 from the bank to
purchase a used vehicle. If he borrows the money
at a rate of 4% interest for 2 years, what is the
total amount be will have to pay back to the bank?
Ryan will have to make a monthly payment of $195.41
Please help fast! I have a 10 minutes :(
Maybe 11x? i dont really know, thats all the info we get
The area of a rectangle is
3/8 in and the length is 5/8 What is the width?
Answer:
The width W is :
[tex]W=\frac{3}{5}[/tex]
Step-by-step explanation:
Let A be the area of the rectangle
Let L be the length of the rectangle
Let W be the width of the rectangle
______
Formula:
A = L × W
__________
[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]