Answer:
The interior angles are approximately 64.02 degrees and approximately 115.98 degrees
The drawing is below.
==========================================================
Explanation:
A rhombus always has perpendicular diagonals. The two diagonals form four identical (aka congruent) right triangles as the figure shows below.
Notice how I've marked x and y as the unknown acute angle measures. Also, the two diagonals divide each other in half. The 8 splits into 4+4 and the 5 splits into 2.5+2.5
----------------------
Focus on one of the right triangles (they're all identical so it doesn't matter which you go for). We can use the tangent ratio to help determine the value of x.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{x}) = \frac{2.5}{4}\\\\\tan(\text{x}) = 0.625\\\\\text{x} = \tan^{-1}(0.625)\\\\\text{x} \approx 32.005383^{\circ}\\\\\text{x} \approx 32.01^{\circ}\\\\[/tex]
Angle x is roughly 32.01 degrees.
Make sure your calculator is in degree mode.
---------------------
Similar steps can be done to find the value of y.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\text{y}) = \frac{4}{2.5}\\\\\tan(\text{y}) = 1.6\\\\\text{y} = \tan^{-1}(1.6)\\\\\text{y} \approx 57.994617^{\circ}\\\\\text{y} \approx 57.99^{\circ}\\\\[/tex]
Or you could use the value of x to compute y like this
x+y = 90
y = 90 - x
y = 90 - 32.005383
y = 57.994617
y = 57.99
---------------------
Once we figure out x and y, it's simply a matter of doubling those values to get the interior angles of the rhombus. This is because we have the x angles next to each other to form two of the interior angles. So we have x+x = 2x = 2*32.01 = 64.02 degrees as one interior angle of the rhombus. The value is approximate.
The other interior angle is roughly y+y = 2y = 2*57.99 = 115.98 degrees
Notice how 2x+2y = 64.02+115.98 = 180
For any rhombus, the adjacent angles are supplementary (they add to 180 degrees).
Sherlene bought 3 pounds of coffee and 2 pounds of chocolate for a total of $24. Which equation, written in standard form, correctly represents this scenario and correctly indicates what the variables represent? A) The correct equation is 3x + 2y = 24, where x is the price per pound of coffee and y is the price per pound of chocolate. B) The correct equation is 5x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. C) The correct equation is 3x + 2x + y = 24, where x is the combined price per pound of coffee and chocolate, and y is the total number of pounds purchased. D) The correct equation is 3x + 2y = 24, where x is the price per pound of chocolate and y is the price per pound of coffee.
1/4+x=5 1/8
What is x?
Please, Please, Please, Please help me!
Will mark Brainliest!
Answer:
4 7/8
Step-by-step explanation:
First we need to gte the denominators the same!
So we multiply the 1/4 by 2
1/4 x 2 = 2/8
Now we subtract the 2/8 from 5 1/8 to get our answer :)
5 1/8 - 2/8 = 4 7/8
Your final answer will be 4 7/8 :)
Have a great day!
Please rate and mark brainliest!
1/3 (3x)(2x-5)(2x-5)=125
Answer:
the answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
50
The graph shows a proportional relationship between the
number of kilometers traveled by a bicycle (y) and the number of
minutes (x).
45
40
35
30
Distance traveled (km)
What is the unit rate, expressed in kilometers per minute?
25
20
O 0.30 km/min
15
(40, 12)
O 0.33 km/min
03.10 km/min
->
5 10 15 20 25 30 35 40 45 50
Time (min)
3.33 km/min
1
2
3
4
5
6
7
8
Next
9
10
Given a graph with a line running through coordinates (0,0) and coordinates (40,12), the unit rate of the relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x) is given by the slope of the line.
How can the product of 0.8 and 2 be determined by using a number line?
Number line from 0 to 2 with tick marks at every tenth.
Enter your answers in the boxes.
Start at 0 and jump to
. From there, jump a distance of
to land on
, which is the product of the numbers.
Brainliest available
Find "X"
I think you meant solve [tex](4^2)x(2^9)[/tex]
Answer:
8192
Step-by-step explanation:
Given:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
Solution:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
[tex]=4^2x \:2^9[/tex]
[tex]4^2=16[/tex]
[tex]=16x \:2^9[/tex]
[tex]2^9=512[/tex]
[tex]=16x\:512[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]
[tex]=8192[/tex]
~lenvy~
Answer:
=> 8192
Step-by-step explanation:
Given :
(4²)x(2⁹)
=> (16)x(512)
=> 16.512
=> 8192
- 13/14 divided -26/4 im soo confujsed with this lesson btw this is for math review just
so u know
Find The Square Root Of
[tex] \frac{144}{169 } [/tex]
[tex]===============================[/tex]
Let's find the square root of
[tex]\bold{\displaystyle\frac{144}{169}}[/tex]
So what number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex]?
Take the square root of both the numerator (144) and the denominator (169)
[tex]\bold{\sqrt{\displaystyle\frac{144}{169} }}[/tex]
The square root of 144 is 12 (12 times itself equals 144), and the square root of 169 is 13 (13 times itself equals 169)
[tex]\bold{\displaystyle\frac{12}{13}}[/tex]
This number times itself equals [tex]\bf{\displaystyle\frac{144}{169}}[/tex].
[tex]==================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!#KnowledgeIsPowerYou can easily find the square root of a number by entering the number you want to find the square root of and pressing the [tex]\sqrt{x}[/tex] button on your calculator, or just remembering the basic numbers, like "12×12 (12²=144) :-)Answered by:
[tex]^\star^\bigstar^\circ\tt{An~Emotional~Helper!~:D}}^\circ^\bigstar[/tex]
Miranda thought her new jeans would cost $32. The price was actually $36. What was percent error?
A - 87.5%
B - 11.1%
C - 12.5%
D - 88.9%
Answer:
the answer; 32÷36×100 will give the answer (d) -88.9%
If QR=x+29 and PS=x–16, what is the value of x?
Answer:
61
Step-by-step explanation:
By the triangle midsegment theorem, 2(SP)=RQ.
So, 2(x-16)=x+29, meaning x=61.
can you please help with this please.
Answer: The following is listed below.
Step-by-step explanation: The following pairs are below:
3 quarters (.75¢): 7 dimes and 1 nickel.9 dimes (.90¢): 3 quarters and 3 nickels.17 nickels (.85¢): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30¢): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60¢): 2 quarters and 1 dime.13 nickels (.65¢): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!
Remember, 0.25¢is a quarter, 0.10¢is a dime, 0.05¢is a nickel, and 0.01¢is a penny.
Have a great day! :)
can you please answer this, please show work
Answer:
6:8
Step-by-step explanation:
There are 6 squares and there are 8 triangles, just count them.
Answer:
3 : 4
Step-by-step explanation:
squares : triangles = 6 : 8 ( divide both parts by 2 )
= 3 : 4 ← in simplest form
17. Find the volume of the prism.
Answer:
6.4 in^3 would be the correct answer
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 150-ft radius? Use 3.15 for (pie symbol)
Answer:
2835 flowers
Step-by-step explanation:
We need the circumference of the garden, with it's 150' radius. Circumference, C, is given by: C = 2[tex]\pi[/tex]r. I'll use [tex]\pi[/tex]=3.15, as you have requested, but it is actually closer to 3.14.
C = 2*(3.15)*150'
C = 945'
4 inches = 1/3 foot.
Every 1/3 of a foot of the circumference will have a flower. We can make this a conversion factor: 3 flowers/foot
Flowers = (945')*( 3 flowers/foot) = 2835 flowers
What is the surface area of right rectangular prism with dimensions of
4 centimeters by 4 centimeters by 6 centimeters?
6 cm
4 cm
4cm
Help asap!
Answer:
S.A of a rectangular prism is 2lh+2lw+2hw
2(4x6)+2(4×4)+2(6×4)
2(24)+2(16)+2(24)
48+32+48= 128cm²
-4 + 3y = 29
5x + y = -3
solve by substitution
Step-by-step explanation:
please mark me as brainlest
Answer:
y=11
x= -2.8
Step-by-step explanation:
y= -5x-3
-4+3 (-5x-3)=29
-4-15x-9=29
-4-9-29=15x
-42=15x
x= -2.8
y= -1 (5×-2.8)-3
=14-3
y=11
Your younger brother is getting stickers from a vending machine at the local supermarket. A proportion of stickers have the
phrase "Girls Rule!" If there are eight stickers with this message in a sample of 36 stickers, what is the 95% confidence interval
for this proportion? (1 point)
0 (0.0864, 0.3580)
0 (0.0862, 0.3578)
0 (0.0847, 0.3553)
0 (0.0812, 0.3256)
Answer:
p^=368=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222),0.2222+1.96360.2222(1−0.2222))==(0.0864,0.3580).
=(0.0864,0.3580).
Step-by-step explanation:
flvs?
The 95% confidence interval for the given proportion is (0.864, 0.3580).
What is a confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.
Given total samples = E = 36
number of outcomes = 8
probability = p = 8/36 = 0.2222
value of z for 95% confidence interval = 1.96
intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])
taking positive sign
= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580
taking negative sign
= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.0864
Hence, the intervals are (0.864, 0.3580), and option A is a suitable answer.
Learn more about confidence intervals;
https://brainly.com/question/24131141
#SPJ2
how can you take 20% off of a normal price
try to understand the example.
I used 20/100 since 20% is obviously 20/100 and I used ×1000 cus for 1000, you want 20%
hope it helps...!!!
3. What is the slope of a line that passes
through (0,-5) and (8,27)?
Answer:
4.
Step-by-step explanation:
Slope = difference in y coordinates / difference in the corresponding x coordinates
(27 - (-5)) / (8 - 0)
= 32 / 8
= 4.
Answer: Well, The entered points belong to an increasing, linear function.
Equation: y = 2.75x + 5.
You're key in this will be y=mx+b right?
Then you're M in y=mx+b is your slope. Therefore, if we take a look at our M in the slope we got,.....y = 2.75x + 5......it's-
2.75.
So you're slope is y= 2.75x
I'm not that great at explaining but yeah, i tried lolz :3
Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.
How to analyze a radioactive decay caseLet suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.
We know that decay behaves exponentially and follows this model:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in gramsThe time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:
τ ≈ 11.541 min
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
t ≈ 40.698 min
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]
To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663
find the distance between the follwing points: (-4,11), (3,5)
Answer:
43
Step-by-step explanation:
equation= sqrt (x2-x1)^2 + (y2-y1)^2
Write a decimal that is greater than 3.3 and less than 3.73
Answer: The answer can be 3.4, 3.5, 3.6, and even 3.7
Explain:
It is all because if you got an answer that you need to be between into it, you can start like this. For example: What number is between 3 and 4, well it's 3.5. So do that with the decimal, it's like the same thing.
What if it was between 3.4 and 3.6, than it's anywhere 3.51, like that, or 3.5, to make it simple.
I hope that was helpful
PLEASe help!!! hurrry!!
Answer:
x is 6 degrees
Step-by-step explanation:
so its 90 degress, how do i know? because it is parrallel to the one with a half square (the 90 degrees) so we equal the angels to 90 because they are equal to 90 (sorry if it sounds confusing, if you want i can still explain more later)
7x + 8x = 90
15x = 90
x = 90/15
x = 6
Answer:
See Below.Explanation:
Both the angles lie inside a right angle, whose total sum is 90 degrees.
Solve:
7(x) + 8(x) = 90°15(x) = 90°x = 6°Each of the angle:
7(x) ⇒ 7(6) = 42°8(x) ⇒ 8(6) = 48°
Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss
Answer:
224
Step-by-step explanation:
To work out the area of any prism:
Area of cross sectional area x width
In this case, work out the area of the rectangle and multiply by 7
8 x 4 = 32
32 x 7 = 224
Use the distributive property to write an expression equivalent to each of the following x(-2+3)
Hey there!
x(-2x + 3)
= 1x(-2x + 3)
DISTRIBUTE 1x WITHIN the PARENTHESES
= 1x(-2x) + 1x(3)
= -2x(1x) + 3(1x)
= -2x^2 + 3x
Therefore, your answer is: -2x^2 + 3x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
samundra deposits rs 850 at NBL at the half yearly rate of 8% for 1 year. how much interest will he get?
Total interest:-
8% of deposit8% of 8500.08(850)Rs68
Draw a picture to answer.
what is 1/4 of 12?
Answer:
3
Step-by-step explanation:
1/4 x12= 12/4
12/4=3
Please Help! Which of the following methods is not used to prove triangles are congruent?
Answer:
AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.
Step-by-step explanation:
2m - 3 - 5= -m + 10 please help me
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: 2m - 3 - 5 = - m + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 2m + m = 10 + 3 + 5[/tex]
[tex]\qquad \sf \dashrightarrow \: 3m = 18[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 18 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: m = 6[/tex]
Hence, value of m is 6
A square on the board is chosen at random. Find the probability as a fraction in simplest form
The probability of selecting a square is the likelihood of the square
The probability that the square selected is a multiples of 3 not less than 10 is 3/20
How to determine the probability?The given parameters are:
Squares = 20
Multiples of 3 not less than 10 = 3
Stripped balloons = 17
The probability that the square selected is a multiples of 3 not less than 10 is calculated as:
P = n(Multiples of 3 not less than 10)/Total
This gives
P = 3/20
Hence, the probability that the square selected is a multiples of 3 not less than 10 is 3/20
Read more about probability at:
https://brainly.com/question/251701