Answer:
Step-by-step explanation:
for y
take 30 degree as reference angle using sin rule
sin 30=opposite/hypotenuse
1/2=9/y (do cross multiplication)
2*9=y
18=y
for x
using pythagoras theorem
a^2+b^2=c^2
9^2+x^2=18^2
81+x^2=324
x^2=324-81
x^2=243
x=[tex]\sqrt{243[/tex]
x=9[tex]\sqrt{3[/tex]
The population P (in thousands) of a certain city from 2000 through 2014 can be modeled by P = 160.4ekt, where t represents the year, with t = 0 corresponding to 2000. In 2007, the population of the city was about 162,075. Find the k value
Answer:
The k value is [tex]k = 0.0015[/tex]
Step-by-step explanation:
Population:
The population P(in thousands), of the city, in t years after 2000, is given by the following equation:
[tex]P(t) = 160.4e^{kt}[/tex]
In 2007, the population of the city was about 162,075.
This means that [tex]P(7) = 162.075[/tex], that is, when [tex]t = 7, P(t) = 162.075[/tex]
Find the k value
[tex]P(t) = 160.4e^{kt}[/tex]
[tex]162.075 = 160.4e^{7k}[/tex]
[tex]e^{7k} = \frac{162.075}{160.4}[/tex]
[tex]\ln{e^{7k}} = \ln{\frac{162.075}{160.4}}[/tex]
[tex]7k = \ln{\frac{162.075}{160.4}}[/tex]
[tex]k = \frac{\ln{\frac{162.075}{160.4}}}{7}[/tex]
[tex]k = 0.0015[/tex]
The k value is [tex]k = 0.0015[/tex]
One integer is 10 more than another, Their sum is 4. What are the 2 integers? PLEASE HELP!
Answer:
The two integers are : -3 , 7
Step-by-step explanation:
Let the integers be x and y
Given one of the integer is 10 more than the other, Let x = y + 10 -----(1)
Also Given sum of integers . x + y = 4 ----------- (2)
Substitute ( 1 ) in (2)
x + y = 4
(y + 10) + y = 4
y + 10 + y = 4
2y + 10 = 4
2y = 4 - 10
2y = -6
y = -3
Substitute y = -3 in ( 1 ) : x = - 3 + 10 = 7
Answer this for me thanks
Answer:
The value of x is 15 inch.
Step-by-step explanation:
Area, A = 81 square inch
Perimeter, P = 48 inch
let the side is y.
[tex]y^2 = 81\\\\y = 9 inch[/tex]
Let the other side is d.
P = 4 d = 48
d = 12 inch
the length x is given by
[tex]x^2 = 9^2 + 12^2\\\\x^2 =81 + 144 = 225\\\\x = 15 inch[/tex]
So, x = 15 inch.
Need help with this question
Find the equation of a line with slope - 5 passing through the point A(-3, 6).
Answer:
y=5x-9
Step-by-step explanation:
-5(-3)+b=6
15+b=6
B=-9
Does anybody know it part 2
Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
What is 2y+5 = 3y+2 ?
2y + 5 = 3y + 2
=> 5 - 2 = 3y - 2y
= 3 = y
Answer:
y = 3
Step-by-step explanation:
2y + 5 = 3y + 2
2y - 3y + 5 = 3y - 3 y + 2 [ subtract both sides by 3y ]
- y + 5 = 0 + 2 [ 3y - 3y = 0 ]
- y + 5 - 5 = 2 - 5 [ subtract by 5 on both sides ]
- y + 0 = - 3 [ -5 + 5 = 0 ]
- y = - 3
y = 3 [ divide by - 1 on both sides ]
islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?
Answer:
2,197.8
Step-by-step explanation:
Find the L.CM of 36,60,126
Answer:
1260
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
2 x 2 x 3 x 3 x 5 x 13
= 2340
................
SOMEONE PLEASE HELP ME!!!!
Answer:
Step-by-step explanation:
scale factor=17/36
1. Explain how to find the area of a complex figure. Draw an example to help illustrate
your understanding. Please help!
Answer:
Refer to the attached file
Hope it helps..
Why was Elmo's Report Card All Wet?
Answer:
why was it ♂️
All of his grades were down below c level
hehe
=)
Complete the table for the given rule.
Rule: y=x+3
Answer:
1
5
2
Step-by-step explanation:
4-3=1
8-3=5
5-3=2
Hope this helps! :)
Figure VWYX is a kite.
3
(18x-2)
V
Y
(12x+2)
х
Answer:
18X-2+12X+2=360-180
30X=180
X=6
The value of the variable x is 6, in the given rhombus.
What are the properties of the rhombus?A quadrilateral having the following characteristics is called a rhombus:
The lengths of the four sides are equal.Parallel sides are situated next to one another.Angles that are opposite each other are equal (i.e., they have the same measure).The diagonals form a right angle split across one another.Each diagonal is the same length.From the properties of a rhombus,
The sum of all angles is 360°.
Thus, in the given case,
18x-2+12x+2+ 90° +90° = 360°
18x- 2 + 12x +2 = 180°
30x = 180
x = 6
Therefore, the value of the x is 6.
Learn more about Rhombus here:
https://brainly.com/question/27870968
#SPJ5
What is the percent decrease from 345 to 300 rounded to the nearest percent
Answer:
-13.04.
Step-by-step explanation:
Please help me on this question.
Answer:
This is the ans i think this is right
Franklin races bikes. In his city, there are 44 lengths of race tracks. The chart shows the race tracks and each track's length in miles. Race Track Length in Miles A \frac{1}{4} 4 1 B \frac{3}{2} 2 3 C 1\frac{3}{4}1 4 3 D \frac{4}{4} 4 4 Frankin races 33 laps in the same lane. The total distance he races is more than 4\frac{1}{2}4 2 1 miles. Which track does Franklin race on?
Answer:
51
Step-by-step explanation:
51 is elaginlent to 44 and 33 12 garde things
Help
Will
Give BRIANLIST
Answer:
area of the figure=length×width
=6(X+6)
=6x+36 sq feet
answer is the second option
Answer:
B is the answer. This gives us the equation 6(x+6), where we multiply 6 by both values inside the equation. 6x + 36 is the answer. Happy learning!
Happy learning!
--Applepi101
Aina builds a cube model out of manila cards. If the volume of the constructed cube is (2+3p) ³ cm³, find the total surface area of the cube in terms of p.
HELPPPP
Given:
The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]
To find:
The total surface area of the cube in terms of p.
Solution:
Volume of a cube is:
[tex]V=a^3[/tex] ...(i)
Where, a is the side length.
It is given that,
[tex]V=(2+3p)^3\ \text{cm}^3[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2+3p\text{ cm}[/tex]
Now, the total surface area of a cube is:
[tex]A=6a^2[/tex]
Where, a is the side length.
Putting [tex]a=2+3p[/tex], we get
[tex]A=6(2+3p)^2[/tex]
Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].
PLEASE HELP I'M SORRY FOR A LOT OF QUESTIONS but I need help
Answer:
Hello! answer: 268 square meters
Step-by-step explanation:
To find the total surface area you find the area of each face then add them up so...
10 × 3 = 30
10 × 3 = 30
8 × 3 = 24
8 × 3 = 24
10 × 8 = 80
10 × 8 = 80
Now that I found the area for each face I will just add them up so...
30 + 30 + 24 + 24 + 80 + 80 = 268 therefore the area is 268 square meters Hope that helps!
[tex] \large\mathrm {\boxed{ \boxed{268 \: \: m {}^{2} }}}[/tex]
Solution :The above pieces will form a cuboid, having dimensions :
[tex] \mathrm{\longrightarrow length = 10 \: m}[/tex]
[tex] \mathrm{\longrightarrow width = 8 \: m}[/tex]
[tex] \mathrm{\longrightarrow height = 3 \: m}[/tex]
We know that Surface area of Cuboid is :
[tex] \large \longmapsto \mathrm{{2(lw + wh + lh)}}[/tex]
Let's solve,
[tex]\longrightarrow2[(10 \times 8) + (8 \times 3) + (10 \times 3)][/tex]
[tex]\longrightarrow2[80 + 24 + 30][/tex]
[tex]\longrightarrow2 \times 134[/tex]
[tex]\longrightarrow268 \: m {}^{2} [/tex]
[tex] \circ { \underline{ \boxed{ \sf{ \color{green}{ \mathfrak{hope \: \: it \: \: helps \: \: you.....}}}}}}∘[/tex]
John has 8 cards that spell the word H O M E W O R K. He shuffles them and then places them face down. Assume he returns the card on each occasion.
a) What is the probability that he will choose the letter O?
Answer:
1/4
Step-by-step explanation:
which of the following statement is true?
A. 0.1
B. 0.5
C. 2
D. 5
Answer:
5 I think
Step-by-step explanation:
Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho
Answer:
0.5
Step-by-step explanation:
So we know the orginal is 10 in size.
The new is 5 in size.
We can think of this as 10 : 5
To find the exact scale, we can divide both by the GCF.
The GCF is the greatest common factor between two numbers.
In this case, the GCF would be 5, now lets divide:
10/5 : 5/5
=
2 : 1
So we can see the ratio is 2 to 1.
Now, the scale is not 2.
The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.
To find the scale, you must divide the new scaled value by the orginal value:
1 / 2
=
1/2
So this is your scale factor.
There is actually another way to do this as well, which is quicker.
Take the new value, 5, and divide it by the orginal value, 10:
5/10
=
1/2
Either way, you get 1/2 as your answer.
Hope this helps!
Please help me with my maths
Answer:
Step-by-step explanation:
x² + 5x³ +2x + 4 - 3x⁴
1) -3x⁴ + 5x³ + x² + 2x + 4
2) Coefficient of x⁴ term = -3
3) Index (Exponent) of term x = 1
4) Degree of the expression : Highest power/exponent/ index is the degree.
Degree of the expression = 4
5) Constant term : 4
6) There are 5 terms in the expression
7) x = 2
-3(2)⁴ +5(2)³ + 2² + 2*2 + 4 = -3*16 + 5*8 + 4 + 4 + 4
= -48 + 40 +4 + 4 + 4
= 4
Plz answer this question
Answer:
3,16,729
Step-by-step explanation:
Which is the x-intercept of f(x) = log6(2x) – 1?
Answer:
Hope this helps!
Please mark brainliest!
x-intercept(s):
(1/log(36),0)
y-intercept(s):
(0,−1)
Please help me, Please
Answer:
7th graders in the school
Step-by-step explanation:
if she wants to know what 7th graders like, ask 7th graders since no one els would know as good as 7th graders themselves
Answer:
A.7th graders in the school
Step-by-step explanation:
Because she specifically wants to find the favorite activity of 7th grade students she should sample only 7th grade students to get the best and most accurate results.
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
24 blocks
Step-by-step explanation:
2(5) + 2(7) = 10 + 14
FInd WY Given: Giving brainly.
Answers:
x = 2WY = 28===========================================================
Explanation:
The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.
For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.
So,
WY = XZ
15x-2 = 9x+10
15x-9x = 10+2
6x = 12
x = 12/6
x = 2 .... first answer
Use that value of x to find the length of each diagonal.
WY = 15*x - 2 = 15*2-2 = 30-2 = 28 .... second answerXZ = 9x+10 = 9*2+10 = 18+10 = 28Both diagonals are 28 units long, which helps confirm we have the right x value.
Keelie has a triangular-shaped card. The lengths of its sides are 4.4 cm, 5.5 cm, and 6.6 cm. Is the card a right triangle?
Answer:
No
Step-by-step explanation:
We can use the Pytaghorean theorem to verify it
4.4^2 + 5.5^2 = 6.6^2
19.36 + 30.25 = 43.56
49.61 = 43.56 (false)