Answer:
The smaller number is -9.
Step-by-step explanation:
Let x and y be the two unknown numbers.
Their sum is -5. Hence:
[tex]x+y=-5[/tex]
Their difference is 13. Hence:
[tex]x-y=13[/tex]
This yields a system of equations. We can solve this using elimination. Adding the two equations together:
[tex](x+y)+(x-y)=(-5)+(13)[/tex]
Simplify:
[tex]2x=8[/tex]
Divide both sides by two. Thus:
[tex]x=4[/tex]
Using either equation (I'll use the first):
[tex](4)+y=-5\Rightarrow y=-9[/tex]
So, our two numbers are 4 and -9.
The smaller number is -9.
A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
Answer:
The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.
Step-by-step explanation:
find the area of the composite shapes.
38.1372ft2
Step-by-step explanation:
lxw 6x4
[tex] \frac{1}{2} \pi \: {r}^{2} [/tex]
add both together, your radius is half your length so half of 6ft is 3 for your radius
Answer is 5, but i dont know how to solve it
Answer:Extract the formula for the height of a rectangular-based pyramid using your knowledge of algebra. H = V / (L x W) / 3. For instance, V = 60 cubic cm, L = 4 cm and W = 6 cm.
Step-by-step explanation:
Which statement is not true?
Answer:
top right
Step-by-step explanation:
A salesperson earns a 45% commission and has a
sell for $880. Determine the commission the
salesperson will make.
Answer:
880 times 0.45 equals 396 as his/her commissioner fee
Step-by-step explanation:
What is the equation of the line that passes through the points
(6,8) and (-10, – 7)?
Answer:
y=15/16x+19/8
Step-by-step explanation:
Hi there!
We are given the points (6,8) and (-10, -7) and we need to find the equation of the line
There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept
First, we need to find the slope
The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points
Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)
we can label their values to avoid confusion:
x1=6
y1=8
x2=-10
y2=-7
substitute into the formula
m=(-7-8)/(-10-6)
m=15/16
so the slope is 15/16
here's our equation so far:
y=15/16x+b
we need to solve for b
Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b
Let's take (6,8) as an example
Substitute x as 6 and y as 8
8=15/16(6)+b
Multiply
8=45/8+b
subtract
19/8=b
therefore, the equation of the line is:
y=15/16x+19/8
Hope this helps! :)
Ill mark you brainlist plz help if you put something random I will report you!
Answer:
35
Step-by-step explanation:
180-145=35
Answer:
the small section should be 35° if you think half a circle is 180° subtract the 145°
A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0.50, while each cylindrical container costs $0.75.
Which packaging should the company use to minimize cost? Explain.
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $2.50 less than using the rectangular boxes.
The rectangular prism boxes should be used because they will cost the company $5.00 less than using the cylindrical containers.
The cylindrical containers should be used because they will cost the company $5.00 less than using the rectangular boxes.
Answer:
The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
Step-by-step explanation:
Box
2400/60 * .5 = 20
Cylinder
2400/80 * .75 = 22.5
Box cost 2.50 less
Answer:
a. The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers.
Step-by-step explanation:
Just got it right on Edge
In a circle, the length of an arc incepted by a central angle is 12mm, and the radius of the circle is 8mm. What is the measure, in radians, of the circle?
Chris is building a circular pool in his backyard for summer the pool will have a circumference of 62.84 ft but will the approximate diameter of the pool.
Answer:
20
Step-by-step explanation:
Cause d = C/3.14 and that’s equals 2 3.14 and c times radius
Please help me if you can it would mean a lot!
Find the sum of the first 10 terms of the sequence -8,-2,4,10
simplify the expression c+5+10
Answer:
c+15
Step-by-step explanation:
add the numbers c+15
c+15 is your answer.
PLEASE HELPPPPPPPPPPPPPPPPPPPp
Answer:
I think its 30 meters. The bottom rectangle is 21 Meters and the top square is 9 Meters
Evaluate y = 3x, when x = 5
y = 243
y = 125
y = 15
Answer:
C) y=15
Step-by-step explanation:
y=3x
y=3(5)=15
100 PTS PLEASE HELP I DO NOT UNDERSTAND!!!!
Hope this help!!!
Have a great day!!!
Answer:
Solution given;
m<DCA=<BCA[diagonal of a parallelogram or rhombus bisect the angle]
13x-16=9x+4
13x-9x=16+4
4x=20
x=20/4
x=5.
now
2<ADB+<BCD=180°[co interior angle]
2<ADB=180-13*5+16-9*5-4
<ADB=82/2
<ADB=41 ° is a required answer.
Given that x(3x+1) - 2(3x-5) = 3x^2 + ax + 10 find the value of a
Answer:
a= -5
Step-by-step explanation:
Answer:
a = -5.
Step-by-step explanation:
x(3x+1) - 2(3x-5)
= 3x^2 + x - 6x + 10
= 3x^2 - 5x + 10
Comparing this term by term with
3x^2 + ax + 10 we see a = -5.
You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass for $30 and pay $0.80 per ride. Option B is to pay $2.30 per ride. After how many rides will the total costs of the two options be the same?
Answer:
20 rides
Step-by-step explanation:
Let x represent how many rides you take.
Option A's cost can be represented by 0.8x + 30.
Option B's cost can be represented by 2.3x.
Set these expressions equal to each other, then solve for x:
0.8x + 30 = 2.3x
30 = 1.5x
20 = x
So, the costs will be the same at 20 rides
A 40 foot ladder is set against the side of a house so that it reaches up 24 feet. If Lily
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 20 ft.) Round to the
nearest tenth of a foot.
Answer:
17.4
Step-by-step explanation:
got it wrong on delta
a^{2}+(36)^{2}=
a
2
+(36)
2
=
\,\,40^{2}
40
2
Use the Pythagorean Theorem.
a^{2}+1296=
a
2
+1296=
\,\,1600
1600
Simplify.
-1296\phantom{=}
−1296=
\,\,-1296
−1296
Subtract 1296 from both sides.
a^{2}=
a
2
=
\,\,304
304
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{304}
±
304
Square root both sides.
a=
a=
\,\,17.435595...
17.435595...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,17.4
17.4
The distance far up the side of the house will the ladder reach now will be 15.2 feet.
The distance far up the side of the house will the ladder reach now will be 15.2 feet.
A 40 foot ladder is set against the side of a house so that it reaches up 24 feet.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the distance between the base of house and ladder foot is x feet.
By using Pythagoras theorem;
40² = 24² + x²
⇒ 1600 - 576 = x²
⇒ x² = 1024
⇒ x = 32 feet
If Lily grabs the ladder at its base and pulls it 4 feet farther from the house.
Then, the distance between the base of house and ladder foot = x + 5
Height of house is h feet
40² = h² + (x + 5)²
⇒ 1600 = h² + (32 + 5)²
⇒ 1600 = h² + 1369
⇒ h² = 1600 - 1369
⇒ h² = 231
⇒ h = √231
⇒ h = 15.19 feet
Therefore, the distance far up the side of the house will the ladder reach now will be 15.2 feet.
To learn more about the Pythagoras theorem visit:
brainly.com/question/21926466.
#SPJ2
There is 47% tax on a $124 cell phone bill. What is the total amount owed
Answer:
55
Step-by-step explanation:
please help i don’t understand
Answer:
f(x) = 4x + 3
Step-by-step explanation:
plug in some x values to test:
4(0) + 3 = 0 + 3 = 3
4(3) + 3 = 12 + 3 = 15
4(6) + 3 = 24 + 3 = 27
it checks out
Answer:
It would be the last one
Step-by-step explanation:
here are the coirdantes:
0-3
3-15
6-27
9-39
So if u try the first one
f(x)=x+3
3(1)=3
3+3=9
So it does not work
The second choice:
f(x)=-4x-3
3(-4)
-12-3=-15
It does not work
The third choice:
f(x)=1/4x+3
3(1/4)=3/4
3/4+3=3 3/4
The last one:
f(x)=4x+3
9(4)=36
36+3=39
As you can see the last one works
I hope this helped :D
(Fyi you can use your graphing calculator: (Ti-38))
Which set best represents the positive integers?
O A. {1,2,3,4,...)
O B. {0, 1, 2, 3, 4, ...}
O C. ..., -4,-3, -2, -1}
D. {..., -3, -2, -1, 0, 1, 2, 3, ...}-
Answer:
O A. {1,2,3,4,...)
Step-by-step explanation:
Its not B because it holds 0 which is ±
write an equation for a line passing through (-4, 3) and (0, 6)
Answer:
y = 3/4x + 6
Step-by-step explanation:
6-3 3
------- = ------
0--4 4
y = mx + b
take coordinates for y and x out of (-4, 3) or (0,6)
6= 3/4 * 0 + b
6 = 0 + b
b = 6
1/4 - (-3/4)
anyone please, and thanks
Answer:
1
Step-by-step explanation:
1/4 - ( - 3/4)
{Multiplying two negative signs gives us positive sign}
1/4 + 3/4
Add both of them:
1/4 + 3/4 = 1
Answer:
1
Step-by-step explanation:
note that - (- ) = +
[tex]\frac{1}{4}[/tex] - (- [tex]\frac{3}{4}[/tex] )
= [tex]\frac{1}{4}[/tex] + [tex]\frac{3}{4}[/tex]
= 1
PLEASE PLEASE HELP ME ! THANK U
EXPLANATION = BRAINLIEST
Question 6 options:
The approximate volume is ___ cubic centimeters. Do not round your answer.
Use 3.14 for π.
Answer:
19,329.84
Step-by-step explanation:
Pi R^2 to find The base.
Then multiply by 19 (The height) to achieve your final answer.
3.14 ( 18²)
= 1017.36
Multiplied by 19 it is 19,329.84
A.)61
B.)49
C.)17
D.)7
Answer:
C.) 17
Step-by-step explanation:
These angles are supplementary meaning they add up to 180°.
7x + 2x + 27 = 180
9x + 27 = 180
9x = 153
x = 17
write a rule to describe the transformation
A. (x, y) (x, y)
B. (x, y) (3x, 4y)
C. rotation 180° about the origin
D. (x, y) (x-2 y-6)
please help me I'll really appreciate it
Answer:
D
Step-by-step explanation:
you need to subuce the x-2 and y-6
5. Write an equation of a line in standard form for the given conditions. passes through (0,0) and is perpendicular to the line 2- y=6
Answer:
69
Step-by-step explanation:
Between 1924 and 1969 the number of inhabitants of a village increased from 760 to 1026.
Calculate the percentage increase in the number of inhabitants over this period.
9514 1404 393
Answer:
35%
Step-by-step explanation:
The percentage increase is found from ...
% increase = ((new value)/(old value) -1) × 100%
= (1026/760 -1) × 100%
= (1.35 -1) × 100% = 0.35 × 100%
% increase = 35%
Asphere has a diameter of 20 ft What is its surface area?
The surface area of the sphere is?
Answer:
1256 ft²
Step-by-step explanation:
20 ÷ 2 = 10
4πr²
4 × 3.14 × 10²
4 × 3.14 × 100
4 × 314
1256