Answer:
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line
Which expession is equivalent to 4-(-7)
Answer:
4 + 7 = 11
Step-by-step explanation:
Subtracting a negative means adding.
To subtract a number, add its opposite. The opposite of -7 is 7, so to subtract -7, add 7.
4 - (-7) = 4 + 7 = 11
Answer:
4+7
Step-by-step explanation:
Which pair of angles are vertical angles?
Answer:
angles 1 and 4, and angles 2 and 3
Answer:
1 and 4, 2 and 3
Step-by-step explanation:
Does this actually seem difficult? If you're in High school, because i'm in Middle school and I can answer this question.
pleasee help marking brainlest
Answer:
See below in bold.
Step-by-step explanation:
The cost of what he wants to buy = 4.25 + 0.89 + 10.99
= $16.13
a) He does have enough to buy everything.
b) He has 20 - 16.13 = $3.87 left over.
please help me with this question!
A cone-shaped vase has height 28 cm and radius 9 cm. An artist wants to fill the vase with colored sand. The sand comes in small packages, each of which is a cube with side length 3 cm. At most, how many packages of sand can the artist use without making the vase overflow?
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
87.97 packsStep-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
the expression for the volume of a cone is
[tex]v=\frac{1}{3} \pi r^2h[/tex]
Given data
height h= 28cM
radius r= 9cm
substituting the data the data into the expression for the volume we can solve for the volume
[tex]v=\frac{1}{3} *3.142*9^2*28\\\v= \frac{7126.056}{3}\ \\v= 2375.35cm^3\\\\[/tex]
we know that a pack contains a cube, we then need to calculate the volume of a cube in a pack, given that the length of a cube is 3cm
the volume is = [tex]l^3= 3^3= 27cm^3\\[/tex]
now the volume of a pack is [tex]27cm^3[/tex], hence the amount of packs needed to fill the cone is calculated as,
[tex]=\frac{2375.35}{27}\\ = 87.97 packs[/tex]
Here are two similar rectangles. Work out the area of the larger rectangle
Answer:
take the picture please or give the measurements of the rectangles
Answer:
see attachment for measurements
Step-by-step explanation:
Which formula gives the zeros of y = sin(x)?
O pi for any positive integer k
0 pi for any integer k
Kpi
2 for any positive integer k
O
kpi
2 for any integer k
Pls mark brainliest,thankyou.
Answer:
b
Step-by-step explanation:
Find the value of x which would make line A parallel to line B
Answer:
35
Step-by-step explanation:
2 lines are parallel if 5x-54 was equal to 3x+16 so
5x-54=3x+16
5x-3x=54+16
2x=70
x=35
Calculate the surface area and the volume of the cylinder.
Pls!! Show how you got the surface area and volume
Answer:
120*60=7200
(sorry if i gave u a answer that's not up there or if i get this wrong for you)
Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .
Answer:
AC: 31m or 30.999m
Step-by-step explanation:
Diameter =2R = 24
Circumference = 2πR
= 24π
= 75.398223686155 m
AB = 180 diameter
180-30 = 150 degree
150/30 = 5
360/30 degree = 12
74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m
These below are just checkers.
360/74.398223686155 = 4.83882520527 N/a
150/4.83882520527 =30.9992598692 N/a
Analyze the set below and answer the question that follows. (KUM) n (KUL) Which Venn diagram has shading that represents the given set?
Answer:
Choice A. The shading in the Venn Diagram shown in the first attachment represents the set [tex](K \cup M) \; \cap \; (K \cup L)[/tex].
Step-by-step explanation:
Let [tex]A[/tex], [tex]B[/tex], and [tex]C[/tex] be sets. By the distributive law of sets, [tex]A \cup (B \cap C)[/tex] and [tex](A \cup B) \cap (A \cup C)[/tex] refer to the same set.
Apply this property to simplify the given expression:
[tex]\begin{aligned}(K \cup M) \; \cap\; (K \cap L) = K\cup (M \cap L)\end{aligned}[/tex]
[tex]M \cap L[/tex] refers to the intersection between the two lower circles. The union of that intersection with set [tex]K[/tex] (the upper circle) would be the shaded region seen in choice A.
Constructing a Circle through Three Points Not on a Line
Construct a circle through points
X, Y, and z.
Answer:
the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance
Answer:
The circle would look like the image attached
Step-by-step explanation:
The 6 in 61 represents how many times the value of the 6 in 69?
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
6. What must be true in order for two triangles to be similar?
11. What is the measure of angle y?
A) 130°
B) 50°
C) 40°
D) 90°
Answer:
50
Step-by-step explanation:
The sum of angles in a triangle is 180 so the answer is 180 - 90 - 40 = 50.
Also, for your first question, 2 corresponding angles of the triangles must be congruent.
Answer:
B. 50°
Step-by-step explanation:
40°+90°+y = 180°
130°+y°=180°
y° =180°-130°
y = 50° (sum of the interior angles in a triangle=180°)
On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.
Answer:
y=2 when x=2
Step-by-step explanation:
3(2)=6
6+6y=18
6y=18-6
6y = 12
6y/6 = 12/6
y=2
Answer:
y=2 when x=2
Step-by-step explanation:
Did it on edge
After first entering the ocean, a scuba diver descends to a depth 18 feet below the surface of the water. The diver then ascends 7 feet before descending 18 feet again. What is the final depth of the diver below the surface of the water?
Answer:
The diver is 29 ft below the water surface
Step-by-step explanation:
Here, we are interested in calculating the diver’s final depth before the surface of the water.
Firstly he descends 18 feet before ascending 7 feet. His depth would thus be;
18ft -7ft = 11 ft initially
It is at this point he descended a further 18 feet which makes his total feet of descent = 11 ft + 18 ft = 29 ft
This means he is 29 ft below the surface of the water
Answer:
-29
Step-by-step explanation:
The diver is 29 ft below the water surface
A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? Use x to represent the hours of work.
Answer:
Step-by-step explanation:
70x4 is 280 plus 40 is 320.
Answer:
$320
Step-by-step explanation:
(4 x $70) + $40 is the equation
$280 + $40 = $320
$320
P= $450 r=6% t= 3 what is I ?
Answer:
535.96 (rounded up)
Step-by-step explanation:
Y= a ( 1 + r )^t
Please please please answer this if you do this i will give you brain list I’ll give a thank you and I’ll rate you five star. It’s due soon so pls answer FAST!!
Answer:
b) 30^2 + b^2 = 40^2
Step-by-step explanation:
This is cuz the diagonal is the hypotenuse of the diagonal formed so it'll be c^ 2
c ^ 2 always is on the right hand side of the equation.
In this case since 40^2 is c^2 is should be on the right side of the equation.
Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!
Answer:
So it will take the stone 1 (one) second to reach its maximum height.
Step-by-step explanation:
Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:
[tex]f(x)=a\,(x-x_v)^2+y_v[/tex]
where the pair of coordinates [tex](x_v,y_v)[/tex] are the x coordinate of the vertex and the y coordinate of the vertex.
Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.
So it will take the stone 1 (one) second to reach its maximum height.
a map is drawn to the scale of 1:1000. find the actual distance between two towns dogo and Dagger which are 55 cm apart
Answer:
Dogo and Dagger are 55,000 units apart. (I don't know the unit of measurement.)
Step-by-step explanation:
1 : 1000
55 : 55000
Dogo and Dagger are 55000 units apart (Is it kilometers, centimeters? I don't know what unit of measurement it is.)
2. A triangle with angle measures 48 degrees, 65 degrees, and 67 degrees is a(n) ________ triangle. *
__________________________________
The right answer is Acute.
Explanation
Acute angle triangle are those which is more than 0 degree and less than 90 degree.
Hope it help
Good luck on your assignment
________________________________
show the relationship between the number of miles and the number of hours in the ratio 12 to 1
Answer:
The person has a speed of 12 miles per hour.
Step-by-step explanation:
The ratio is 12 miles to 1 hour.
This means, that in every hour, the person can move 12 miles and has a speed of 12 miles per hour.
the volume of a cone is 540pi. work out the height of the cone.
Answer:
I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.
Step-by-step explanation:
The formula for a cone is
[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]
From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:
[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]
Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:
[tex]r {}^{2} h = 1620[/tex]
Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:
[tex]r \times h = 40.249[/tex]
If I knew the radius. I could get the answer by dividing both sides by the radius.
Good luck!
there are 357 seniors in harris high school. The ratio of boys to girls is 7:10. How many girls are in the senior class?
What’s the sum of -30 and 29
Answer:
The answer of -1.
Step-by-step explanation:
You have to add both numbers together :
[tex] - 30 + 29 \\ = - 1[/tex]
[tex] - 30 + 29 \\ = - 1 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
13
Step-by-step explanation:
1/3 of 6 1/2 multiply by 3/4 (56 divided by 7)
1/3* 13/2 * 3/4 * 56/7= 1*13*3*56/3*2*4*7= 13*3*56/3*56= 13
Which line segment is correct for this answer to the question?
Answer:
Option (A). OB
Step-by-step explanation:
Angle bisector of any angle is a line segment that divides the angle into two equal parts.
From the given picture,
m∠MOB ≅ m∠NOB
(25 + 35)° ≅ (28 + 32)°
60° ≅ 60°
Therefore, OB is the line segment that divides ∠MON into two equal angles. (∠MOB and ∠NOB)
Option (A). will be the answer.
An employee at a homemade wooden toy store earned $860 over the past week. The employee needs to pay 14% for Federal Income Tax and 3% for State Income Tax, both on the initial amount he earned. How much will the employee earn after paying both taxes?
Answer:
$713.8
Step-by-step explanation:
14%of 860 = 120.4
3% of 860 = 25.8
so, subtract the sum of the above 2 values from 860.
860 - (120.4+25.8) = 860-146.2 = 713.8
Hope this helps
Answer:
$713.008
Step-by-step explanation:
Commutative
Property
Answer: means you can switch up the numbers
Step-by-step explanation:
so Commutative Property means you can switch up
the numbers not the sign for example.
4 × 3 × x
4 × x × 3
3 × x × 4
x × 3 × 4
x × 4 × 3
if you look at all these! they just switch
this is easier like 4x5=20 in communicative property it would be 5x4=20
Hope this helps :)
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
Learn more about triangular prisms here:
https://brainly.com/question/16909441
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