[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$600\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases} \\\\\\ 600=5000(\frac{r}{100})(4)\implies \cfrac{600}{5000(4)}=\cfrac{r}{100}\implies \cfrac{3}{100}=\cfrac{r}{100}\implies \boxed{3=r}[/tex]
please help me , step by step explanation needed
=======================================================
Explanation
Part (a)
The smaller pyramid up top is the result of slicing at the halfway point.
This leads to the ratio 1:2 when comparing small side to larger side.
Cube both parts of that ratio to end up with 1:8 as the volume ratio.
This means if the smaller pyramid was say 1 cubic foot in volume, then the larger pyramid has a volume of 8 cubic feet.
-------------------------
Part (b)
Consider the case that,
volume of smaller pyramid = 1 cubic feetvolume of larger pyramid = 8 cubic feetThe volume of the truncated base is 8-1 = 7 cubic feet.
The ratio of the smaller pyramid to the truncated base is 1:7
Please help!!!
1. 1/6
2. 1/2
3. 2
4. 6
Answer:
6
Step-by-step explanation:
Important info given:
two triangles. A triangle has a base A and height 8 cm.Another triangle has a base of 3 cm and height of 4 cm.Step 1: We need to determine the length of side A.
Since, these two triangles are similar, let us use the property of similarity of triangles to determine the length of side A.
Therefore we have:
[tex]\frac{8}{4} = \frac{a}{3}[/tex]
Step 2: Multiplying by 3, and then we have:
[tex]\frac{8*3}{4}=a[/tex]
[tex]\frac{24}{4}=a[/tex]
Step 3: Simplify, and we get:
6 = a
Hence, the length of side A is 6 cm.
[RevyBreeze]
Determine the sum of the measures of the indicated angles.
Answer: 720 deg
Step-by-step explanation:
The given angles are just all the interior angles in 2 quadrilaterals
So since the sum of the int. angles in 1 quadrilateral is 360 deg, the sum in 2 is 720 deg
The red line in the figure is an altitude of triangle HJL. Using right angle
trigonometry, write an equation involving sinH.
Answer:
x = z sin H
Step-by-step explanation:
[tex]\sin H = \frac{x}{z} \\ \\ \implies \: x = z \: \sin H[/tex]
“Order the following workers in order from highest hourly pay (on top) to lowest hourly pay (on bottom) : Molly worked 15 hours and earned $277.50
Paul worked 3 hours and earned $51
Jake worked 40 hours and earned $770
Jackie worked 6.5 hours and earned $126.75
I just need someone to put them in order pls it’s on a test and I got it wrong the first time,and when I asked no one answered on this app
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 29. 7 feet. The distance between the birdwatcher and the second bird is 42. 1 feet. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Two trees that are 29 point 7 feet tall with a bird on top of each. Distance between birdwatcher and first bird is 42 point 1 feet. Angle of depression between birdwatcher and first bird is unknown. © 2011 Jupiter Images Corporation 45. 1° 44. 9° 54. 8° 35. 2°.
Answer:
I think its 44.9
Step-by-step explanation:
A bucket contains 3 3/4 gallons of water. If Ariana adds 5 gallons more, how many gallons will there be in all?
Total:-
[tex]\\ \tt\hookrightarrow 3\dfrac{3}{4}+5[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{15}{4}+5[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{15+20}{4}[/tex]
[tex]\\ \tt\hookrightarrow 35/4[/tex]
[tex]\\ \tt\hookrightarrow 8\dfrac{3}{4}gallons[/tex]
[tex]\large{|\underline{\mathtt{\red{G}\blue{i}\orange{v}\pink{e}\blue{n}\purple{}\green{}\red{↯}\blue{}\orange{}}}}[/tex]
1 bucket contains 3 3/4 gallons of water
[tex]\large{|\underline{\mathtt{\red{T}\blue{o}\orange{\:}\pink{F}\blue{i}\purple{n}\green{d}\red{↯}\blue{}\orange{}}}}[/tex]
Total amount of water after adding 5 gallons to it =?
[tex]\large\underline{\underline{\maltese{\purple{\pmb{\sf{\: Solution :-}}}}}}[/tex]
Here, To find the total amount of water in the bucket after ariana added 5 gallons to it. We need to add 5 to the given amount of water present in the bucket...[tex] \sf \: 3 \frac{3}{4} + 5[/tex]
[tex] \sf \: \frac{15}{4} + 5[/tex]
[tex] \sf \: \frac{15}{4} + 5[/tex]
[tex] \sf \: 5\frac{15}{4} [/tex]
[tex] \sf \: \frac{35}{4} [/tex]
➪ Therefore, She will have 35/4 gallons of water in all...~
guys pls helpp me!!!!
Answer:
26
Step-by-step explanation:
Rectangle J and Rectangle K are similar
You can divide 13 by 3.25
13/3.25=4
If Rectangle J is 4 times bigger than K all you have to do is devide 104 by 4 and you get 26
Label the vertex, axis of symmetry, max or min,
range and domain.
f(x) = 2 (x - 2) + 5
=
Answer:
X=3
Step-by-step explanation:
what is the gradient of the blue line ?
1/4 is the gradient.
gradient => (2-3)/(4-8)
gradient => -1/(-4)
gradient => 1/4
HELPP WILL GIVE BRAINLIEST
Solve for w x y THANK YOU
Answer:
w=120°
x=45°
y=30°
Step-by-step explanation:
AT=PR, AR=PT
Therefore, y=30°
y+45°=x+30°
x=45°
In triangle:
y+30°+w=180°
w=120°
Hope it helps! :)
How many ones does it take to make a ten?
Answer:
it takes 10 ones to make a ten.
if there are 280 6th graders and 200 7th graders then how many more seventh graders are involved in the yearbook
Using proportions, it is found that 8 more seventh graders are involved in the yearbook.
What is a proportion?A proportion is a fraction of a total amount.
Researching the problem on the internet, it is found that 10% of the 6th graders and 18% of the 7th graders are on the yearbook, hence:
0.1 x 280 = 28 6th graders.
0.18 x 200 = 36 7th graders.
36 - 28 = 8
8 more seventh graders are involved in the yearbook.
More can be learned about proportions at https://brainly.com/question/24372153
Are the triangles shown congruent? If so, how do you know?
Please help
Answer:
6. yes they are congruent, they are exactly the same shape and size
7. no they are not congruent, they are different sizes
8. they are congruent, they have the same shape and size
Step-by-step explanation:
What is the range for this set of data?
7, 15, 12
O 3
O 5
O 8
O 12
Answer:
C/8
Step-by-step explanation:
Because the range is the biggest number subtracted by the lowest number and in our data sat 7,15,and 12 15 is the biggest number and 7 is the smallest so what's 15-7?
8 so C
Have a great day.
What is the answer to 40x + 24
Answer:
8(5x+3)
Step-by-step explanation:
4x-4=4x+-4x
I NEED HELP!!!
Answer:
x= 1
if thats not what u trien find lmk and ill fix it n give correct answer
Step-by-step explanation:
Pls help I will make brainliest
Answer:
$423,846
Step-by-step explanation:
12x$18,492=221,904
9x22,438=201,942
221,904+201,942=423,846
hope this helps
Rationalize the denominator!
Question in the picture
Answer:
A
Step-by-step explanation:
[tex]\frac{10}{9+\sqrt{7} }[/tex]
To rationalise the denominator multiply the numerator and denominator by the conjugate of the denominator.
the conjugate of 9 + [tex]\sqrt{7}[/tex] is 9 - [tex]\sqrt{7}[/tex]
= [tex]\frac{10(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7}) }[/tex] ← expand denominator using FOIL
= [tex]\frac{90-10\sqrt{7} }{81-7}[/tex]
= [tex]\frac{90-10\sqrt{7} }{74}[/tex] ( divide terms on numerator/ denominator by 2 )
= [tex]\frac{45-5\sqrt{7} }{37}[/tex] → A
Answer:
A[tex]\frac{45-5\sqrt7}{37}[/tex]
Step-by-step explanation:
Easy. First let's multiply numerator and denominator by [tex]9-\sqrt7[/tex] since we will create a difference of squares to get rid of the root, then start doing the calculations
[tex]\frac{10(9-\sqrt7)}{(9+sqrt7)(9-\sqrt7)}=\frac{10(9-\sqrt7)}{81-7} = \frac{10(9-\sqrt7)}{74} =\\\frac{5(9-\sqrt7)}{37}=\frac{45-5\sqrt7}{37}[/tex]
The mean of 6 numbers is 15.
The numbers are in the ratio 1 : 3 : 4 : 7 : 7 : 8.
Find the range.
Answer:
8 -1= 7
Step-by-step explanation:
find the largest number and subtract from the smallest number.
Answer:
[tex]8 - 1 = 7[/tex]
Step-by-step explanation:
that will be my answer
Find tan B. WILL MARK BRAINLIEST
What's the perimeter of a 5ft by 8ft rectangle?
Answer:
5+5+8+8=26
the perimeter of a 5ft by 8ft rectangle is 26ft
Step-by-step explanation:
Hope this helps!!!
-Liyah
Answer:
26ft
Step-by-step explanation:
The formula for the perimeter of a rectangle is P= 2w + 2l
w= 5ft and l= 8ft
so P= 2 x 5 + 2 x 8
= 26ft
Necesito ayuda con el ejercicio de abajo, es de Física
Solve for the variable and express the answer in set notation.
|5x - 4|= 11
Hey there!
ORIGINAL EQUATION
|5x - 4| = 11
~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #1
5x - 4 = 11
ADD 4 to BOTH SIDES
5x - 4 + 4 = 11 + 4
CANCEL out: -4 + 4 because it gives you 0
KEEP: 11 + 4 because it help solve for the x-value
NEW EQUATION: 5x = 11 + 4
SIMPLIFY IT!
5x = 15
DIVIDE 5 to BOTH SIDES
5x/5 = 15/5
CANCEL out: 5/5 because it gives you 1
KEEP: 15/5 because it help solve for the x-value
NEW EQUATION: x = 15/5
SIMPLIFY IT!
x = 3
~~~~~~~~~~~~~~~~~~~~
Possible EQUATION #2
5x - 4 = -11
ADD 4 to BOTH SIDES
5x - 4 + 4 = -11 + 4
CANCEL out: -4 + 4 because it gives you 0
KEEP. -11 + 4 because it help solve for the x-value
NEW EQUATION: 5x = -11 + 4
SIMPLIFY IT!
5x = -7
DIVIDE 5 to BOTH SIDES
5x/5 = -7/5
CANCEL out: 5/5 because it gives you 1
KEEP: -7/5 because it help solve for the x-value
NEW EQUATION: x = -7/5
SIMPLIFY IT!
x = -7/5
~~~~~~~~~~~~~~~~~~~~~~~
ANSWER
x = 3 or x = -7/5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Any ideas on how to answer this for math?
You have learned what tangent lines are. You have learned that they are perpendicular to the radius at a point on the circle. What is unique about a tangent line is that it touches the circle at exactly one point, but never goes inside the circle. But points are infinitely small … how can a line touch a circle without ever going into it?
Answer:
In Euclidean plane geometry, a tangent line to a circle is a line that touches the circle at exactly one point, never entering the circle's interior. Tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs.
Step-by-step explanation:
smarts.
hope this helps :))
What is the y-intercept of the line
Answer:
1
Step-by-step explanation:
$4750 invested at 10% p.a compounded semiannually for 10 years, calculate the interest
Work Shown:
A = P*(1+r/n)^(n*t)
A = 4750*(1+0.10/2)^(2*10)
A = 12,603.164099436
A = 12,603.16
That represents the account balance after 10 years. To find the interest only, subtract off the deposit amount.
interest = A-P = 12,603.16 - 4,750 = 7,853.16
Nellie is analyzing a circle, y2 + x2 = 25, and a linear function g(x). Will they intersect?
y2 + x2 = 25 g(x)
graph of the function y squared plus x squared equals 25
x g(x)
−7 −2
−6 −1
1 6
Yes, at positive x‐coordinates or zero
Yes, at negative x‐coordinates or zero
Yes, at negative and positive x‐coordinates or zero
No, they will not intersect
C. Yes, at negative and positive x‐coordinates or zero
I believe it is this
Answer: b Yes ,at negative x coordinates or zero
Step-by-step explanation:
we can see through the values that the graph will graph on the negative x coordinate or zero
Find the equation of a line, in slope intercept form, that has a slope of 3 and passes through the point (-4, 2)
Answer:
y= 3x+14
Step-by-step explanation:
3x because the slope is 3
14; solve for B by plugging in x=-4, y=-2 into y=3x+B
Subtract 3x2 – 5x + 2 from 3x – x2 can anyone do it step by step
Answer:
2x[tex]x^{2}[/tex]-8x+2
Step-by-step explanation: