Answers
Answer:
x = 36
a = 25
Step-by-step Explanation
By Pythagoras Theorem:
[tex]x = \sqrt{ {39}^{2} - {15}^{2} } \\ \\ x = \sqrt{1,521 - 225} \\ \\ x = \sqrt{1,296} \\ \\ x = 36 \\ \\ a = \sqrt{ {20}^{2} + {15}^{2} } \\ \\ a = \sqrt{400 + 225} \\ \\ a = 25 \sqrt{625} \\ \\ a = 25[/tex]
Related Questions
The yield in bushels from a grove of orange trees is given by
Y = x(600 − x),
where x is the number of orange trees per acre. How many trees will maximize the yield?
_________ trees
Answers
Answer:
Y=x(600-x)
Step-by-step explanation:
How many trees?
500
I BET NO ONE KNOWS THIS How many moles of helium are in 3.5 x 10^22 atoms of helium? _______ mol He
Answers
Answer:
Step-by-step explanation:
0.226 gram.
Solve for x in the diagram
A)38
B)16
C)20
D)42
Answers
Answer:
D) 42
Step-by-step explanation:
48 x 2= 96
180 - 96 = 84
84/2 = 42
Find the next two terms of each geometric sequence (show work)
1. -15, -30, -6, __, __
2. 90, 30, 10, __, __
3. 1/4, 3/8, 9/16, __, __
Answers
Answer:
[tex]\huge\boxed{1.\ -120,\ -240}\\\boxed{2.\ \dfrac{10}{3},\ \dfrac{10}{9}}\\\boxed{3.\ \dfrac{27}{32},\ \dfrac{81}{64}}[/tex]
Step-by-step explanation:
[tex]\text{if}\\a_1,\ a_2,\ a_3,\ ...\text{is a geometric sequence}\\\text{then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=const.=r\\\\a_n=a_{n-1}r[/tex]
[tex]1.\\-15,\ -30,\ -6\\\\\dfrac{-30}{-15}=-2;\ \dfrac{-6}{-30}=\dfrac{1}{5}[/tex]
it,s not a geometric sequence...
I think it should be:
[tex]-15,\ -30,\ -60,\ ...\\\\\dfrac{-30}{-15}=2;\ \dfrac{-60}{-30}=2\\\\next\\\\-60\cdot2=-120\\-120\cdot2=-240[/tex]
[tex]2.\\90,\ 30,\ 10,\ ...\\\\\dfrac{30}{90}=\dfrac{1}{3};\ \dfrac{10}{30}=\dfrac{1}{3}\\\\next\\\\10\cdot\dfrac{1}{3}=\dfrac{10}{3}\\\\\dfrac{10}{3}\cdot\dfrac{1}{3}=\dfrac{10}{9}[/tex]
[tex]3.\\\dfrac{1}{4},\ \dfrac{3}{8},\ \dfrac{9}{16},\ ...\\\\\dfrac{\frac{3}{8}}{\frac{1}{4}}=\dfrac{3}{8}\cdot\dfrac{4}{1}=\dfrac{3}{2};\ \dfrac{\frac{9}{16}}{\frac{3}{8}}=\dfrac{9}{16}\cdot\dfrac{8}{3}=\dfrac{3}{2}\\\\next\\\\\dfrac{9}{16}\cdot\dfrac{3}{2}=\dfrac{27}{32}\\\\\dfrac{27}{32}\cdot\dfrac{3}{2}=\dfrac{81}{64}[/tex]
Franco said that when the speed and distance are known,you only have to multiply them to get the time. Is Franco's statement correct? Explain why or why not.
Answers
Answer:
No, you have to divide
Step-by-step explanation:
Speed = distance/time
distance/speed = time
What is an equation of the line that passes through the points (-6, -2) and
(6,8)?
Answers
Answer:
y=5/6x+b
Step-by-step explanation:
use formula (y2-y1)/(x2-x1) to look for the slope:
(8-(-2))/(6-(-6))
=10/12
=5/6 (simplified)
then, use the formula y=mx+b to get the equation by substituting m and x, y to either (-6, -2) or (6, 8):
8=5/6(6)+b
8=5+b
3=b (subtract 5 on both sides)
equation:
y=5/6x+3
find the finance charge for a $25,000, three year loan with a 9.25% apr. How much interest is paid
Answers
Answer:
$6,937.50
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 25000(.0925)(3)
For the triangle it is given that AE2 + EB2 = 9 and BE2 + EC2 = 16
Find AC =
Answers
Answer:
Step-by-step explanation:Given : right triangle ABC , AE^2 + EB^2 =9 and BE^2 + EC^2 = 16
To find : AC
Solution:
BE ⊥ AC
∠AEB = 90°
=> ΔAEB is right angled
=> AB² = AE² + EB²
=> AB² = 9
∠BEC = 90°
=> ΔBEC is right angled
=> BC² = BE² + EC²
=> BC² = 16
∠ABC = 90°
=> AC² = AB² + BC²
=> AC² = 9 + 16
=> AC² = 25
=> AC = 5
AC = 5
The length of AC is 5 units.
What is a Triangle?Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.
As per the given data:
We are given the diagram of ΔABC which is right-angled.
BE is perpendicular to AC.
AE² + EB² = 9 ...(i)
BE² + EC² = 16 ..(ii)
By using the Pythagoras theorem in ΔABE:
AE² + EB² = AB²
From comparing with eq (i)
AB² = 9
AB = √9 = 3 units
By using the Pythagoras theorem in ΔCBE:
BE² + EC² = BC²
From comparing with eq (ii)
BC² = 16
BC = √16 = 4 units
By using the Pythagoras theorem in ΔABC:
AB² + BC² = AC²
AC² = 3² + 4²
AC² = 9 + 16 = 25
AC = 5 units.
The length of AC is 5 units.
Hence, The length of AC is 5 units.
To learn more on Triangle, click:
brainly.com/question/19976619
#SPJ2
can anyone solve this
Answers
Two similar figures have sides in the ratio of 23. If a side of the smaller triangle has a length of 7, what is the length of
the corresponding side of the other triangle?
A. 10/12
B. 14
C. 21
D. 4 2/3
Answers
Arkadaşlar cevapları neler
Answers
Answer:
hi
Step-by-step explanation:
i translated your question…
and
[tex]x - 4 = 5 \\ x = 5 + 4 \\ x = 9[/tex]
[tex]3 - x = - 4 \\ x = - 4 - 3 \\ x = - 7[/tex]
[tex]5 - x = 7 \\ x = 7 - 5 \\ x = 2[/tex]
hope it helps
Have a nice day bye
help me with maths :)
Answers
cos J: 12/13, 0.92
tan J: 5/12, 0.42
sin K: 12/13, 0.92
cos K: 5/13, 0.38
tan K: 12/5, 2.40
Factor: 3bc-4ad +6ac-2bd
Can you create a rubric for this math question
Answers
Answer:
(3c−2d)(2a+b)
Step-by-step explanation:
3bc−4ad+6ac−2bd
Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.
2a(3c−2d)+b(3c−2d)
Factor out common term 3c−2d by using distributive property.
(3c−2d)(2a+b)
Que es una Progresión Aritméticas
Answers
How many 3-inch thick bags of mulch should Noemi buy to cover 100 square feet at a depth of 4 inches? The length is 3.2ft and the width is 2.5ft.
Answers
Answer:
Approximately 17 bags.
Step-by-step explanation:
The length of the bag of mulch = 3.2 ft
The width of the bag of mulch = 2.5 ft
The thickness of the bag of mulch = 3 inch = 0.25 ft
Volume of a bag of mulch = length x width x thickness
= 3.2 x 2.5 x 0.25
= 2 cubic feet
So that, the volume of a bag of mulch is 2 cubic feet.
The area to be covered = 100 square feet
The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet
volume of the portion to be covered = area x depth
= 100 x [tex]\frac{1}{3}[/tex]
= 33 [tex]\frac{1}{3}[/tex] cubic feet
The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.
The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]
= 16[tex]\frac{2}{3}[/tex]
= 16.6667
The number of bags of mulch needed is 17.
What is the lowest common denominator of the following two fractions?
1/4 and 1/6
Answers
Answer:
Step-by-step explanation:
4=2(2), 6=2(3) so the lcd is 2(2)3=12
find the HCF and LCM of: x^3+27,2x^3-6x^2+18x,x^2-3x+9
Answers
Answer:
hcf:3x^3-6x^2+y^2-3x+54
lcm:2(x+3)(x^2-3x+9)(x^3-3x^2+9)(y^2-3x+9)
25 points
1. There are 34 rose bushes currently in the park. Park workers will plant
more rose bushes today.
When the workers are finished there will be 70
rose bushes in the park. How many rose bushes did the workers plant
today?
34 + 70 = x; x = 104
34 - x = 70 ; x = 36
34 + x = 70; x = 36
70 - 34 = x; x= 36
Answers
Answer:
34 + x = 70 ; 36
Step-by-step explanation:
Given that:
Current amount = 34
Final amount = 70
Number of roses planted by the workers today ;
Current amount + number planted today = final amount
Let number planted today = x
34 + x = 70
x = 70 - 34
x = 36
wich one doesn't belong
Answers
Answer:
The answer is 3 because its a constant value and the rest are variables
Is VUW similar to
VXY? If yes,explain how you know. If no, explain
why not.
Answers
Answer:
Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY
Step-by-step explanation:
A hotel manager is adding a tile border around the hotel's rectangular pool. Let represent the width of the pool, in feet. The length is 5 more than 3 times the width, as shown. Write two expressions that represent the perimeter of the pool which exspressions are right
2(4p+5)
8p+5
8p+10
4p+5
4(p+3p+5)
2p+3p+5
im almost out of points plss help
Answers
Answer:
A and CStep-by-step explanation:
Width = pLength = 3p + 5Perimeter:
2(w + l) = 2(p + 3p + 5) =2(4p + 5) =8p + 10Correct options are A and C
Answer:
2(4p+5)8p+10Step-by-step explanation:
to understand thisyou need to know about:algebracreating algebraic expressionPEMDAStips and formulas:parameter of rectangle:2(l+w)let's solve:let width be p
according to the first condition
The length is 5 more than 3 times the widththerefore
the length is
3×p+5
3p+5
Parameter of a rectangle
=2(l+w)
=2(3p+5+p)
=2(4p+5) {combine like terms}
=8p+10{distribute 2}
inequalities!! please help!!
Answers
Answer:
x=24
Step-by-step explanation:
$;$"+";$;";";'+$-$$+$+$+_+
Find the value of x.
Answers
Answer: x = 20
Step-by-step explanation:
The angle is 90 degrees so we can make an equation
with it.
3x + 10 + x = 90
Combine like terms
4x + 10 = 90
subtract 10 from both sides to cancel it out
4x = 80
Now divide by 4 to leave x by itself
x = 20
Now you can check if it's correct by plugging in x to the equation given
3(20) + 10
60 + 10
70
20 + 70 = 90 degrees
Answer:
D: 20 degrees
Step-by-step explanation:
First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.
We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.
This leaves us with x=20.
Hope this helped!
The difference in means is about ____ times the mean absolute deviations
Answers
Answer:
A little more than 3 times
Step-by-step explanation:
if the velocity is big, must there be forces on it?
Answers
Answer:
Acceleration and velocity
Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.
Plz help fast will mark brainliest
Answers
Answer: -270
Step-by-step explanation:
First, simplify the exponent
[tex]-6*(25+20)[/tex]
Then, distribute
[tex]-150+-120[/tex]
Then, subtract(add a negative)
[tex]-270[/tex]
Hope it helps <3 :)
You’ll first need to evaluate the exponent
-6(-25+20)
Now you need to calculate the additional numbers
-6*-5
30, 30 is your answer. Therefore the value of the expression is 30
help me iv been trying from this morning
Answers
Answer:
i did the first
Step-by-step explanation:
1st way
Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5
y = -2/3*X^2-16/3*X-17/3
X = -4 ±√( 15/2) = -6.7386, or -1.2614
Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)
two real roots: X=-1.2613872124776866 and -6.738612787477313
Answer:
b) y = -2/3(x + 4)² + 5c) y = 1/2(x + 8)² - 5d) y = 3/8(x + 7)² - 2Step-by-step explanation:
Vertex form is:
y = a(x - h)² + kVertex of the function is point (h, k)
b) Congruent to y = 2/3x² and opens down means:
a = -2/3Maximum value at (-4, 5) means:
h = -4, k = 5The function is:
y = -2/3(x + 4)² + 5c) Congruent to y = 1/2x² and has minimum value y = -5 at x = -8:
a = 1/2, h = -8, k = -5The function is:
y = 1/2(x + 8)² - 5d) Vertex (-7, -2) and passes through the point (-3, 4)
y = a(x + 7)² - 2Substitute coordinates and find a:
4 = a(-3 + 7)² -26 = 16aa = 3/8The function is:
y = 3/8(x + 7)² - 2In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.
Answers
Answer:
9
Step-by-step explanation:
If the weight of 90 books is 50kg, what is the weight of 180 such books. In both proportion and unitary method.
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that the weight of 90 books is 50kg. We need to get the weight of a book first and this will be:
= 50/90
= 5/9
Therefore, the weight of 180 such books will be 5/9 multiplied by 180. This will be:
= 5/9 × 180
= 100kg
Help me I give crown :--(((
Answers
Answer:
The answer is 170 meters
Step-by-step explanation:
hope it helps :)