The diagonals of a rhombus measure 16 cm and 30 cm .find its perimeter ( in easy way)?
Answer:
68 cmStep-by-step explanation:
Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.
As we know that the diagonals in the rhombus bisect each other at 90°.
So, AO can be written as (AC/2)
= 16/2
= 8 cm
And, DO can be written as (BD/2)
= 30/2
= 15 cm
Then, consider the triangle AOD and apply Pythagoras theorem,
AD2 = AO2 + DO2
AD2 = 82 + 152
AD2 = 64 + 225
AD2 = 289
AD = √289
AD = 17 cm
Hence, the length of each side of the rhombus is 17 cm
Now,
The perimeter of rhombus = 4 × side of the rhombus
= 4 × 17
= 68 cm
Therefore, the perimeter of the rhombus is 68 cm.
Question 4 of 5 Which expression uses the associative property to make it easier to evaluate 6(5-3)? 1 3 O A. 6(} - ) O B. (6 - 3) O C. 3(6.3) O D. ( 63) SUBMIT
pls help, no links.
I think it's a
Step-by-step explanation:
associative property means you can change what ever is in the ()
Answer:
Step-by-step explanation:
The price of a baseball card began at $5.00. A collector marked the price up 500% and is reselling the card online. What is the new sales price of the baseball card?
Answer:
25.00
Step-by-step explanation:
5.00 x 500% = 25
. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100 from this population, describe the sampling distribution of the sample proportion of resistors that have resistances in excess of 105 ohms. b. What is the probabilit
Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.
Sampling distribution of proportion, P = 2% = 0.02 Sample size, n = 100The sampling distribution of the sample proportion can be calculated thus:
Distribution of sample proportion = npDistribution of sample proportion = (100 × 0.02) = 2
Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.
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The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:
Answer:
Step-by-step explanation:
which is bigger? 36.2 or 36.12
which is bigger? 9.18 or 9.19
which is bigger? 7.6 or 7.60
Answer:
36.20
9.19
7.6 and 7.60 are the same number
Step-by-step explanation:
which is bigger? 36.2 or 36.12 ------ 36.2 is bigger
which is bigger? 9.18 or 9.19 ---------- 9.19 is bigger
which is bigger? 7.6 or 7.60 ---------- 7.6 and 7.60 are the same
complete the table to summarize what you know about each rocket.
How to solve this question ????
Help me please
Find the area of the credit card. 2 1/4 in and 3 1/3 in
Answer:
Step-by-step explanation:
A= W*L
A= 31/3*21/4
A=10.3*5.25
A=54.075cm^2
Answer:
7 1/2in^2
Step-by-step explanation:
LxW=A
2 1/4 x 3 1/3 = A
A = 7 1/2
Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an
account every month that pays 1.05% interest, compounded monthly. How
much will be in the account after 4 years?
Answer:
$9,800.07
Step-by-step explanation:
Just took a quiz.
There will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}+\dfrac{PMD((1+\dfrac{r}{n})^{nt}-1)}{\dfrac{r}{n}}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
PMD = $200
r/n = 0.0105/12
n = 12
t = 4 years
After plugging the all values in the formula, we will get:
A = $9,800.07
Thus, there will be $9,800.07 after 4 years if Barbara wants to restore her '66 Mustang in 4 years. She puts $200 into an account every month that pays 1.05% interest,
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The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x feet longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet
Answer:
18 ft and 30 ftStep-by-step explanation:
The new dimensions will be:
10 + x and 22 + xThe area is 540
Using area equation we get:
(10 + x)(22 + x) = 540x² + 32x + 220 = 540x² + 32x = 320x² + 2x*16 + 256 = 320 + 256(x + 16)² = 576x + 16 = √576 (Ignoring the negative root as the length is never negative)x + 16 = 24x = 8The new dimensions are:
10 + 8 = 18 ft and 22 + 8 = 30 ftFind last year's salary if, after a 5% pay raise, this year's salary is 35,175
Answer:
Step-by-step explanation:
x + 0.05x = 36225
x(1 + 0.05) = 36225
x*1.05 = 36225
by solving we find:
x = $34,500
Jonathon is paid biweekly. His annual salary is $39,000. What is his biweekly salary? Include a $ in your answer.
plzzzzzzzzzzzzzzzz help me
Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.
The time of 10.52 seconds was measured to the nearest hundredth of a second.
(a) Write down the upper bound for the distance of 100 metres.
The upper bound means the highest number that you can round up to the nearest unit, in this case meters. So the upper bound for the distance of 100 meters is 100.4 meters.
Answer:
bye
Step-by-step explanation:
I need help for 5 questions and need a answer for them appreciate them
Answer:
Step-by-step explanation:
Please do help.Thanks :)
Maggie noticed that her financial record is missing information. She recalls that on October 15th, she purchased gasoline in the amount of $32.51 and on October 16th, she and her friends went out for dinner, where she spent $25.62. Given this information, and the image below, determine her balance as of October 26th.A bank register. The balance on 10/25 was 170 dollars and 29 cents.a.$112.16b.$62.03c.$27.62d.$2.00
Based on the balance on her account on October 25th, we can calculate that her balance on October 26th was a. $112.16
Any expenses that we make from our bank account reduces our bank balance. This means that Maggie's buying of gasoline and the dinner she went on will reduce her account balance.
Her new balance will therefore be:
= Beginning amount - Expenses
= 170.29 - 32.51 - 25.62
= $112.16
In conclusion, her balance on October 26th is $112.16
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Answer:
A $112.16
Step-by-step explanation:
George walked 6 miles in 2 hours.
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
Answer:
3 miles per hour
Step-by-step explanation:
Well, what we do in these situations is simple. We divide.
So this George guy, he walks six miles in 2 hours.
I think to myself, "Okay, so that's 6 divided by 2."
So, we get 3.
#It'sNotRocketScience
if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
George walked 6 miles in 2 hours.
We need to find his average walking rate in miles per hour
Let x be the average walking rate in miles per hour
Let us form an equation
miles/hour----->6/2=x/1
3=x
So the value of x is 3
Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
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Can someone let me know how to work these out. I don’t want the answer i want the method please!!
Answer:
45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y
47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16
49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y
Answer:
Step-by-step explanation:
factorization, is that how u call it? S: Im not good at english
49 = 7x7, right?
and
7 = 7 x 1
then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)
7*7x = 49x
7*1y = 7y
--------------------------------------------------------
1*7 -----> 7(7x + 1y)
-------------
7
Simplify 7/7 = 1
answer = 7x +y
Can someone help me plz!!
Answer:
RMT or TMR
Step-by-step explanation:
The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.
This week a pack of tomato plants cost $25 next week the plants on sale for 15% off Larissa wants to know the price of the tomato plants if she buys them next week
Step-by-step explanation:
15%25$
[tex] \frac{15}{100} \times 25[/tex]
[tex] \frac{375}{100} [/tex]
=3.75
25-3.75=21.25$
Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).
Answer: y=1/4x+4
Step-by-step explanation:
Parallel means the new equation will have the same slope.
y= 1/4x+b
We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.
1= 1/4(-12)+b
1= -3+b
b= 4
y=1/4x+4
9sin(2x) sin (x) = 9cos(x)
Answer:
[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]
State any two types of natural vegetation?
Answer:
forest, tundra, and grasslands
Forty-eight divided by one hundred equals what?
Answer:
0.48
Step-by-step explanation:
jou just have move point from right to left like this 48 rite so 48. =because have to zero u hqve move two place left so it will be 0.48
Answer:
0.48
Step-by-step explanation:
48 divided by 100=0.48
(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)
Answer:
The answer is 1…
Step-by-step explanation:
Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.
the final result will be
(240+15+40)+ (300+90-72)- (360+105+24)
Now solve
240-15+40=265
300+90-72=318
360+105+24=513
265+268-489
265+268= 11
533-513=20
bleh i m not sure naymore
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
[tex]x = 2\sqrt{55}[/tex]
Step-by-step explanation:
Given the values for the leg and hypotenuse:
a (leg) = 6 cm
c (hypotenuse) = 16 cm
Use the Pythagorean Theorem to find the value of the other leg, x:
[tex]x = \sqrt{c^{2} - a^{2} }[/tex]
[tex]x = \sqrt{16^{2} - 6^{2} }[/tex]
[tex]x = 2\sqrt{55}[/tex]
Answer:
Your answer is [tex]\sqrt{220}[/tex] or 14.8323969...
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}[/tex]
[tex]x^{2} =16^{2} -6^{2} \\[/tex]
[tex]x^{2}[/tex] = 256 - 36
x = [tex]\sqrt{220}[/tex]
angles a and b in both angles sets are ?
Answer:
1) b = 60°
2) a = 90°, b = 90°
Step-by-step explanation:
1) Angles on a straight line add to 180° so 180 - 120 is 60°
2) The two lines are perpendicular (meet at right angles) so both angles are 90°
Hope this helps!
Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
(a) Find the equation of the perpendicular bisector of segment PQ.
I got so confused on this question if I could get help it would mean a lot
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
Transpose for = + working out too
Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.
Step-by-step explanation: