9514 1404 393
Answer:
C. 16
Step-by-step explanation:
UV is a diameter of the circle. If it is perpendicular to the chord XS, then it bisects that chord. This means ...
XT = TS
3b -1 = b +5
2b = 6
b = 3
TS = b +5 = 8
The chord length is 2·TS = 2·8 = 16 units.
Answer:
C,XS=16
Step-by-step explanation:
3b-1=b+5
3b-b=5+1
2b=6
b=6/2=3
TS=b+5=3+5=8
XS=2 TS=2×8=16
Mackenzie is designing a rectangular greenhouse. Along one wall is a 7-foot storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-foot storage area and 6 section for plants. All the plant sections are equal length. What is the length of the wall?
Answer:
3 ft
Step-by-step explanation:
4 + 6x = 7 + 5x
6x - 5x = 7 - 4
x = 3
question on image
....
Answer:
1/5
Step-by-step explanation:
8/40->4/20->2-10->1/5
Hope this helps!
Answer:
1\5
Step-by-step explanation:
8/40 = 4/20 = 2/10 = 1/5
Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?
Answer:
$1,890
Step-by-step explanation:
To find the amount, we use the compound interest formula here
we have this as;
A = P(1 + r/n)^nt
Where ;
P is the amount invested which is $1,800
r is the interest rate which is 3.3% annually (3.3/100 = 0.033)
n is the number of times yearly interest is compounded which is 1 time yearly
t is the number of years which is 1.5 years
substituting these values, we have
A = 1800( 1 + 0.033)^(1 * 1.5)
A = 1,890
the sum of legs for a right triangle be 21 and their product is 40. Find the perimeter of this triangle.
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
The sum of legs for a right triangle is 12:
[tex] a + b = 21 [/tex]
[tex] a = 21 - b [/tex] (1)
And their product is:
[tex] a*b = 40 [/tex] (2)
By entering eq (1) into (2) we have:
[tex] (21 - b)b = 40 [/tex]
[tex] 21b - b^{2} - 40 = 0 [/tex]
We can find the value of "b" by solving the above quadratic equation.
[tex] b_{1} = 2.1 [/tex]
[tex] b_{2} = 18.9 [/tex]
Since the two values satisfy the equation, we can use either of them to find "a". We will use b₁.
[tex] a = 21 - 2.1 = 18.9 [/tex]
Now, the hypotenuse of the right triangle is given by:
[tex] h = \sqrt{a^{2} + b^{2}} = \sqrt{(18.9)^{2} + (2.1)^{2}} = 19 [/tex]
Hence, the perimeter is:
[tex] P = a + b + h = 18.9 + 2.1 + 19 = 40 [/tex]
Therefore, the perimeter of the triangle is 40.
I hope it helps you!
this 2 pls i need help with explanation sum
9514 1404 393
Explanation:
8.An exterior angle is equal to the sum of the remote interior angles. Define ∠PQR = 2q, and ∠QPR = 2p. The purpose of this is to let us use a single character to represent the angle, instead of 4 characters.
The above relation tells us ...
∠PRS = ∠PQR +∠QPR = 2q +2p
Then ...
∠TRS = (1/2)∠PRS = (1/2)(2q +2p) = q +p
and
∠TRS = ∠TQR +∠QTR . . . . . exterior is sum of remote interior
q +p = (1/2)(2q) +∠QTR . . . . substitute for ∠TRS and ∠TQR
p = ∠QTR = 1/2(∠QPR) . . . . . subtract q
__
9.For triangle ABC, draw line DE parallel to BC through point A. Put point D on the same side of point A that point B is on the side of the median from vertex A. Then we have congruent alternate interior angles DAB and ABC, as well as EAC and ACB. The angle sum theorem tells you that ...
∠DAB +∠BAC +∠CAE = ∠DAE . . . . a straight angle = 180°
Substituting the congruent angles, this gives ...
∠ABC +∠BAC +∠ACB = 180° . . . . . the desired relation
The perimeter of a rectangular garden is 4534 m. The length is 1125 m more than thrice the width. Find the length and the width of the rectangular garden. (Estimate to the nearest tenths place and verify the reasonableness).
Answer:
length = 1696 m
breadth = 571 m
Step-by-step explanation:
perimeter = 4534 m
let breadth be b
so length = b + 1125 m
so
perimeter of rectangular garden = 2(l+b)
4534 m = 2(b+1125m+b) {substituting the value}
or, 4534 m = 2(2b+1125m)
or, 4534 m = 4b + 2250 m
or, 4534 m - 2250m = 4b
or, 2284m = 4b
or, b = 2284m/4
so, b = 571m
so, l = b + 1125 m
= 571 m + 1125m
= 1696 m
Simplify the variable expression by evaluating its numerical part.
p-7+56 - 12
A. p + 51
B. p+37
O c. p-51
D. p + 49
Calculate the volume of each solid. Use 3.14 for pi. Round answers to the nearest whole number.
Answer:
See below.
Step-by-step explanation:
Rectangle Volume = Length x Width x Height
Rectangle Volume = 15 x 6 x 8
Rectangle Volume = 720 in^2
Cube volume = s^3
Cube volume = 9^3
Cube volume = 729
Cylinder Volume = [tex]\pi[/tex]r^2h
Cylinder Volume = [tex]\pi[/tex]4^214
Cylinder Volume = [tex]\pi[/tex]1614
Cylinder Volume = [tex]224\pi[/tex]
Answer
720, 729, 703
Step-by-step explanation:
your welcome
The ages of several trees in a park are shown below:
2 years, 28 years, 2 years, 20 years, 22 years
What is the mean age of these trees?
56 years
12 years
14.8 years
26 years
Answer:
C or 14.8
Step-by-step explanation:
You just find the mean.
Arrange the numbers, add them then divide by the amount of numbers.
Hope it helps c:
I need help on this this is very hard. I need the answer right now. Wrong answer=report
Find the missing variables
Answer:
90
Step-by-step explanation:
Answer:
[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]
I hope I helped you ^_^
Please help thank you!
Answer:
A≈376.99yd²
d= 10yd
h = 7yd
hope it helps
write the equation of the line that goes through points (0,4) (6,16)
Answer: Y= 2x
Step-by-step explanation:
Answer:
y=2x-4
Step-by-step explanation:
firstly find the gradient
m=y2-y1/x2-x1
16-4/6-0
12/6
m=2
then use the equation to find the answer
y-y1=m(x-x1)
y-4=2(x-0)
y-4=2x-0
y=2x-4
Joe receives a cake for his birthday. He eats $\frac{1}{4}$ of the cake on the first day. On the second day, he eats $\frac{3}{4}$ of the amount of cake that is left after the first day. What fraction of a whole cake is left for Joe to eat on the third day
Answer:
3 / 16
Step-by-step explanation:
Let The total amount = x
Fraction eaten on first day = 1/4x
Fraction left = x - 1/4x = 3/4x
Fraction of amount left eaten on second day = 3/4 of 3/4x
3/4 * 3/4x = 9/16x
Fraction left :
3/4x - 9/16x = (12x - 9x) /16 = 3/16x
Hence, fraction left = 3/16
Explain the relationship of the meaning of the word isometric to the properties of an isometric or rigid transformation
Step-by-step explanation:
The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.
(x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
Answer:
[tex]\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)[/tex]
[tex]=[/tex] [tex]x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15[/tex]
[tex]=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15[/tex]
[tex]=x^4+2x^4-2x^3-2x^2+4x+5-15[/tex]
[tex]=3x^4-2x^3-2x^2+4x+5-15[/tex]
[tex]=3x^4-2x^3-2x^2+4x-10[/tex]
[tex]OAmalOHopeO[/tex]
[tex]\text{Solve for 'x':}\\\\3(x+1)=12+4(x-1)[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=-5Step-by-step explanation:
3(x+1)=12+4(x-1)
3(x+1)=8+4x
3x+3=8+4x
3x+3−4x=8
-x+3=8
-x=8-3
-x=5
-x(-1)=5(-1)
-x(-1)=-5
x=-5
Câu 1: Giá trị
2
3
2020 -5 lim
- 2020
n
n n
bằng:
A.
2.
B.
.
C.
0.
D.
2
.
3
Answer:
i dont understan your language plz speak in englosh
ahla
S : Assignment
乡,一石
Answer
what's the question?
Step-by-step explanation:
looks like your question is missing information
Which are the
solutions of x2 = -7x - 8?
Answer: I think the answer is D
Step-by-step explanation:
Answer:
D is the answer (The last option)
Step-by-step explanation:
PLEASE HELP!
The distance to the nearest exit door is less than 100 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d < 100
Step-by-step explanation:
the distance is less than (<) 100 ft
d < 100
The sentence translates to the inequality d < 100
There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).
The table below represents the function f, and the following graph represents the function g.
*
-6
un
4
-3
-2.
-1
0
1
f(x) 8
-2
-8 -10
-8
-2
8.
22
у
4
12
6
- 2
2
4
6
2
-4
6
Complete the following statements.
The functions fand g have
The functions f and g have different axis of symmetry
The y-intercept of f is higher than the y-intercept of g
Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g
The known value in the question includes the following
The given table of f(x) and x, from which we have;
The point of the minimum value, which is the vertex = (-3, -10)
The axis of symmetry, of a parabola is the vertical line passing through the vertex such that the y-values at equal distance from the line on either side are equal is the line x = -3
The y-intercept, which is the point the graph intercepts with the y-axis or where x = 0 is the point (0. 8)
Over the interval [-6, -3], the average rate of change of f = (-10 - 8)/(-3 -(-6)) = -6
From the graph of g(x), we have;
The axis of symmetry is the line x = -3
The y-intercept = (0, -2)
Over the interval [-6, -3], the average rate of change of g ≈ (6 - (-2))/(-3 -(-6)) = 8/3
Therefore, we have the correct options as follows;
The functions f and g have different axis of symmetry
The y-intercept of f is higher than the y-intercept of g
Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g
Learn more about parabola here;
https://brainly.com/question/22213822
solve the linear equation
x/2-3x/4+5x/8=9
I need the full solution X by 2 minus 3x by 4 + 5x by 8 equal to 9
Answer:
24
Step-by-step explanation:
x/2-3x/4+5x/8=9
Or,(4*x-2*3x+5x)/8=9. (taking LCM)
Or, (4x-6x+5x)/8=9
Or, 3x=9*8
Or, x = 72/3
so, x=24.
If the number of degrees in a certain angle added to the number of grades in the angle is 76, find the angle in degrees.
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
pls pls help help help
Answer:
the diameter form for your help today with the app
Step-by-step explanation:
pa brain less
A block has a mass of 880g and a volume of 80 cm Calculate the density
Answer:
Density formula (p=m÷v). ---[ p= Density, m= Mass, v= volume]
so, 880g/80cm³
=11gcm³
Find the volume of the prism
Answer:
A prism is a polyhedron with two parallel, congruent faces called bases that are polygons
Câu 1: Trong các mệnh đề sau, mệnh đề nào là không đúng ?
A. Nếu a // b và (α) vuông góc a thì (α) vuông góc với b
B. Nếu (α) // (β) và a vuông góc với (α) thì a vuông góc với (β)
C. Nếu a và b là hai đường thẳng phân biệt và a vuông góc (α), b vuông góc với (α) thì a // b
D. Nếu a // (α) và b vuông góc a thì b vuông góc (α)
Answer:
Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language
Step-by-step explanation:
Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English
Please help. Somebody give an answer to this question please. I need a step by step explanation as well.
Answer:
15d² + 7d - 4
Step-by-step explanation:
Distribute
(5d + 4)(3d -1)
5d (3d - 1) + 4(3d - 1)
Distribute
15d² - 5d + 4(3d- 1)
Distribute
15d² - 5d + 12d- 4
Simplify
15d² + 7d - 4