well, we know its a rectangle, so hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]
[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]
Please help for mooolah :(((
Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.
Hi please help me with this thank you so much, kk reward branliest
Answer:
1. B = 61.5 ft²2. h = 12 ft3. V = 738 ft³Step-by-step explanation:
Firsly ,we notice that the base of the prism is a regular pentagon
regular means the five sides of the pentagon are equal in measure .
_______
Formula :
Area of a regular pentagon B = 1/2 × p × a;
where p is the perimeter of the pentagon
a is the apothem of the pentagon
_______________________________
then p = 5×6 = 30 ft
a = 4.1 ft. (Given)
therefore ,
B = 1/2 × p × a
= (1÷2) × 30 × 4.1 = 61.5 ft²
height of the prism h = 12 ft (given)
Volume V = B × h = 61.5 × 12 = 738.ft³
Please help, i will mark as brainliest
it is given that the volume of the paint, x litres, varies directly as the area of the wall, d m². if 3 litres of paints can paint 36 m² of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width.
Answer:
3.75 L
Step-by-step explanation:
3 liters / 36 m^2 = x liters / 9 x 5 m^2
3 liters / 36 m^2 = x liters / 45 m^2
(45)(3) = (x)(36)
(135) = (x)(36)
x = (135)/(36)
x= 3.75 L
2. What is the solution to the following equation? 2.2(4a + 5) = 1.8a - 3 A. a = -7 B. a = -2 C. a = 2 D. a = 7
Answer:B.a= -2
2.2(44a+5)=1.8a-3
8.8a+11=1.8a-3
8.8a-1.8a=-3-11
7a=-14
:a=-2
Step-by-step explanation:
Volume of a Cone Level 1
The volume of the cone is the amount of space in it
The volume of the cone is 264.3 cubic inches
How to determine the volume?The given parameters are:
Height, h = 9.9 inDiameter, d = 10.1 inThe volume of a cone is then calculated as:
V = 1/3π(d/2)²h
This gives:
V = 1/3 * 3/14 * (10.1/2)² * 9.9
Evaluate the product
V = 264.256905
Approximate
V = 264.3
Hence, the volume of the cone is 264.3 cubic inches
Read more about volumes at:
https://brainly.com/question/1972490
Please help me out! I would also love an explanation on how to find the ratio and the answer
Answer:
A
Step-by-step explanation:
This will have slope in it, so bear with me.
We will use the equation [tex]\frac{y(2) - y(1)}{x(2) - x(1)}[/tex] (keep in mind (2) means second and (1) means first)
Lets fill it out.
[tex]\frac{-4-(-1)}{-4-3}[/tex]
It should be [tex]\frac{-3}{-7} or \frac{3}{7}[/tex]
So it is A
a
A flower vase is in the shape of a cylinder and has a diameter of 5 inches and a height
of 7 inches. Which equation could be used to determine the volume, in cubic inches,
of the vase?
А
V = 7(5)?(7)
B
V = 70(7)?(5)
C
V = 7(7)?(2.5)
DV = 7(2.5)(7)
ca
hurry up i need this pls
Answer:
a
Step-by-step explanation:
sorry if it's wrong
Miguel scored 74 points in his first 5 games this season. how many points has he scored per game?
14.8
Step-by-step explanation:[tex]\frac {74}{5}[/tex]____________________________________________________
Evaluate the equation/expression:[tex]14.8[/tex]
I hope this helps you
:)
Answer:
You can divided 74 by 5. 5 fits into 7 once so you subtract 5 and you are left with 2. Then bring down the 4 and you have 24. 5 fits into 24 only 4 times so you would subtract 20 from 24 and be left with 4. Then add a decimal point and a 0. Bring down the 0 and you'll have 40. 5 fits into 40 exactly 8 times so 40 - 40 = 0. The answer is 14.8
Step-by-step explanation:
What geometric shapes can you draw that have exactly four pairs of perpendicular sides? Use
pencil and paper. Sketch examples for as many different types of shapes as you can.
Which of these types of geometric shapes can have exactly four pairs of perpendicular sides?
Select all that apply.
A. Triangle
B. Parallelogram
OC. Rectangle
D. Regular pentagon
Answer:
rectangle
it has four perpendicular sides
each perpendicular is 90degree
Answer: Rectangle and square
Step-by-step explanation: They both have four right angles
Is it possible for a rhombus to have an angle of 120° and an angle of 30°?
give an explanation please.
Answer:
Step-by-step explanation:
if I’m correct please mark Brainalist
From the properties of a Rhombus;
Opposite angles of a rhombus are equal. The adjacent angles of a rhombus are supplementary, i.e. adds up to 180 degrees.
If one of the angles of a rhombus is 120 degrees, and sum of the adjacent angles is 180 degrees, then, the adjacent angle will be 60 degrees (180-120=60)
If one of the angles of a rhombus is 30 degrees, then, the adjacent angle will be 150 degrees (180-30 =150)
Thus, the sum of 120 and 130 is not supplementary and definitely can not be adjacent
Hence, it is not possible hope this helps !
No, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
What is rhombus?" Rhombus is a quadrilateral whose opposite side are parallel and congruent. Opposite angles are congruent. Adjacent angles are supplementary."
According to the question,
Given,
Measure of the angle are 120° and 30°.
If we consider both the angles are opposite [tex]120 \neq 30[/tex]
then as per property of congruent angle in rhombus, it is not correct.
For adjacent angle, [tex]120 + 30 \neq 180[/tex] they are not supplementary.
Again it is not true for rhombus.
Hence, it is not possible for a rhombus to have an angle of 120° and an angle of 30°.
Learn more about rhombus here
https://brainly.com/question/27870968
#SPJ2
Please help asap.
I will give brainliest
Answer:
#1 20
#2 17
#3 14
#4 14
#5 12
#6 14
#7 10
#8. 20
#9. 20
Step-by-step explanation:
1 12+8=20
2 10+7=17
3 8+6=14
4 8+6=14
5 10+2=12
6. 8+6=14
7 4+6=10
8. 12+8=20
9 14+6=20
Now honey I can't do all your work for you im.not trying to be mean but work some.out heres a tip use a calculator to help you when you get stuck ask me your question and then I will hold you ok
Expand & simplify
4
(
2
g
+
3
)
−
5
(
4
g
−
4
)
Answer:
-12g+32
Simplify and combine like terms.
Please Help!!! Will Mark Brainliest!
Step-by-step explanation:
from my side it's blury, try to send it again
5. A bottle contains 2 liters of juice. How many milliliters of juice is that?
Answer:
The answer would be 2000
Step-by-step explanation:
Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)
what is the product of 237 and 962?
Answer:
227994
Step-by-step explanation:
Answer:
value x value = product
237 x 962 = product = 227,994
Step-by-step explanation:
hope this helps,
Please help with both precalc questions! 2 dif problems
Answer:
Step-by-step explanation:
For the first problem you have:
[tex]sin^2(x)-sin(x)=0[/tex]
Factor out a sin(x) to get:
[tex]sin(x)[2sin(x)-1]=0[/tex]
Individually, set both terms equal to zero:
[tex]sin(x)=0[/tex]
[tex]2sin(x)-1-0[/tex]
The first equation is asking "sine of what angle gives zero?" The sine of 0 will give zero, and so will the sine of pi, and 2pi, etc. Therefore, you can generalize this by saying the solution is pi multiplied by an integer 'n' where 'n' can be from zero to infinity:
[tex]x=n\pi[/tex]
where n = 0, 1, 2, 3, 4, 5, etc..
(make sure you specify that 'n' can equal zero.)
For the second equation, add 1 to both sides to get:
[tex]2sin(x)=1[/tex]
Divide both sides by 2 to get:
[tex]sin(x)=\frac{1}{2}[/tex]
Sine of what gives 1/2? Sine of pi/6 gives 1/2, and so does 5pi/6. Therefore, the two solution here would be pi/6 plus a phase shift of 2pi, and 5pi/6 plus a phase shift of 2pi:
[tex]x=\frac{\pi }{6} +2n\pi[/tex]
[tex]x=\frac{5\pi }{6} +2n\pi[/tex]
The second problem states that:
[tex]cos(u)=\frac{4}{5}[/tex]
Cosine is defined as the adjacent side of a right triangle divided by the hypotenuse of the right triangle:
[tex]cos(u)=adjacent/hypotenuse[/tex]
After drawing a triangle, the adjacent side is 4, and the hypotenuse is 5. But first, lets rewrite sin(2u) using the double angle identity to get:
[tex]sin(2u)=2sin(u)cos(u)[/tex]
But we know the value of cosine of 'u', it is 4/5. Therefore:
[tex]sin(2u)=2sin(u)*\frac{4}{5}[/tex]
[tex]sin(2u)=\frac{8}{5} sin(u)[/tex]
To find the sine of 'u', use the triangle you should have constructed when I defined cosine as the adjacent over the hypoptenuse. Sine is defined as the opposite over the hypotenuse. We have:
[tex]sin(u)=opposite/hypotenuse[/tex]
We have the adjacent, we have the hyppotenuse, and we want the opposite. If we find the opposite side, we can find the sin(2u). Use pythagogrean's theorem to find the opposite:
[tex]adjacent^2+opposite^2=hypotenuse^2[/tex]
[tex]4^2+opposite^2=5^2[/tex]
[tex]opposite^2=25-16[/tex]
[tex]opposite=3[/tex]
Finally, we have that:
[tex]sin(u)=\frac{3}{5}[/tex]
Or:
[tex]sin(2u)=\frac{8}{5}*\frac{3}{5} =24/25[/tex]
Hopefully you could follow along. There is a lot going on here, but since youre in pre-calc, you should be able to follow along as long as you follow my steps.
Do number 5 please. Please bots don’t answer I’m just trying to get help!!!! :( please
Answer:
(a) 40 units
Step-by-step explanation:
32/16=2
20 times 2=40
Answer:
A
Step-by-step explanation:
Since square pyramids A and B are similar, they need to have similar lengths.
Pyramid B's lengths are 2 times larger than that of pyramid A.
Pyramid A: 16 units, 16 units, 20 units.
*2 *2 *2
Pyramid B: 32 units, 32 units, ? units
So, the missing side length has to be 20 *2 = 40 units.
Please mark as brainliest!
What is 180 divided by 2
Answer:
90
Step-by-step explanation:
Do it on the calculator 180÷2
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Convert: 2589 millimeters = ______ kilometers
A. 2,589,000,000 km
B. 2,589,000 km
C. 0.002589 km
D. 0.2589km
Answer:
C. 0.002589 km
Step-by-step explanation:
2589/1,000,000
=0.002589
Describe the graph of the function. y = |x – 4| – 7
The graph is an absolute value function with vertex (4, –7).
The graph is an absolute value function with vertex (7, –4).
The graph is an absolute value function with vertex (–4, –7).
The graph is an absolute value function with vertex (–4, 7).
Answer:
The graph is an absolute value function with vertex (4, –7)
Step-by-step explanation:
|x-4| is always positive
minimal value of |x-4| = 0
x-4 = 0 x=4
y = |4-4| - 7 = -7
the greatest common factor of 3x^4-12x^2
Answer:
3x^2
Step-by-step explanation:
3x^4-12x^2
Factoring out 3x^2
3x^2 ( x^2 -4)
We can factor (x^2-4) since it is the difference of squares
3x^2 ( x-2) (x+2)
The greatest common factor is 3x^2
Let's find the G.C.F. (Greatest Common Factor) of 3x⁴-12x².
The key words here are "common" and "greatest".
Here are some common factors:-
3
3x
3x²
x
x²
And the greatest common factor is:-
3x²
[If Necessary]
Factor it out by dividing the terms in the polynomial by the GCF:-
x²
4
Subtract the terms:-
(x²-4)
And put the G.C.F. outside the parentheses:
3x²(x²-4)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
The function h defined by h (t) = 4.9 (10+t) (10 - t) models the height, in meters, of an object t seconds after it is dropped from a
helicopter
Answer:
(a) 10 seconds
(b) 490 meters
Step-by-step explanation:
(A)When the object hits the ground, it shows that the height is 0. Hence, h(t) = 0.
0 = 4.9(10+t)(10-t)
0 = (10+t)(10-t)
t = 10, -10
Since time cannot be negative, t = -10 will be rejected.
Therefore, t = 10 seconds
(B)Based on the question, "t seconds after the object is dropped from a helicopter", means that the time starts right after the object is dropped from the helicopter, this shows that t = 0.
h(0) = 4.9(10+0)(10-0)
= 4.9(100)
= 490 meters
Find the perimeter of the cabin below.
the image is formed of a rectangle and a square
perimeter of the cabin = perimeter of rectangle + perimeter of square
= 2(l+b) + 4×side
= 2(7+5) + 4×5
= 24 + 20
perimeter of the cabin = 44 cm
If u have 18 gallons of gas an you drove 250 miles how much gas is left
Answer:
Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic
Step-by-step explanation:
P=1/2
q=-1/3
r=1/5
30pqr(p+q+r)/(p+q)(p+r)
Answer -22/7
Answer:
Given:
[tex]p=\dfrac12[/tex][tex]q=-\dfrac13[/tex][tex]r=\dfrac15[/tex]Given expression:
[tex]\dfrac{30pqr(p+q+r)}{(p+q)(p+r)}[/tex]
Substitute given values into given expression:
[tex]\implies \dfrac{30\cdot\dfrac12\cdot-\dfrac13\cdot\dfrac15\left(\dfrac12-\dfrac13+\dfrac15\right)}{\left(\dfrac12-\dfrac13\right)\left(\dfrac12+\dfrac15\right)}[/tex]
[tex]\implies \dfrac{-\dfrac{30}{30}\left(\dfrac{15}{30}-\dfrac{10}{30}+\dfrac{6}{30}\right)}{\left(\dfrac36-\dfrac26\right)\left(\dfrac{5}{10}+\dfrac{2}{10}\right)}[/tex]
[tex]\implies \dfrac{-1\left(\dfrac{11}{30}\right)}{\left(\dfrac16\right)\left(\dfrac{7}{10}\right)}[/tex]
[tex]\implies \dfrac{-\dfrac{11}{30}}{\dfrac{7}{60}}[/tex]
[tex]\implies -\dfrac{11}{30}\times \dfrac{60}{7}[/tex]
[tex]\implies -\dfrac{660}{210}[/tex]
[tex]\implies -\dfrac{22}{7}[/tex]
Find the surface area of the prism below.
Answer:
the surface area of the prism = 378 cm³
Step-by-step explanation:
Let S be the surface area of the prism
B be the base of the prism
h be the height of the prism
T be the lateral surface area of the prism
_______
Formula
S = 2B + T
_________
[tex]\begin{aligned}B &=\frac{9 \times 12}{2} \\&=54\end{aligned}[/tex]
[tex]\begin{aligned}T &=7,5 \times(9+12+15) \\&=270\end{aligned}[/tex]
[tex]\begin{aligned}S &=2 B+T \\&=2 \times(54)+270 \\&=378\end{aligned}[/tex]
Makayla uses 2 1/2 pounds of chocolate to make exactly 3 1/3 dozen truffles. How many dozen truffles could she make with 1 pound of chocolate? How many pounds of chocolate would she need to make 5 dozen truffles? Drag and drop the correct value into each box to make each statement true.
Answer:
Below in bold.
Step-by-step explanation:
By proportion she can make 3 1/3 * 1 / 2 1/2 truffles
= 10/3 * 1 / 5/2
= 10/3 * 2/5
= 20 / 15
= 1 1/3 dozen truffles from 1 pound chocolate.
1 1/3 dozen truffles is made from 1 pound
4/3 . . .. .. .. .. .. .. 1 pound
1 . . .. .. .. .. .. .. 3/4 ..
5 . . .. .. .. .. .. .. 3/4 * 5 = 15/4 pound of chocalote=
3 3/4 pounds chocolate.
okay, triangular prism volume formula. b is base, B is area of base (i think) V is volume, h is height, but I forgot what H is.
Also, how has your day been? :)
Answer:
good and how do you forget wut H is?
Step-by-step explanation:
PLEASE HELP ME????
THank you ! :)
you can replace the m with 14 to get an equation of: 52+14=66