6 red face cards
->in favour:
6/52
= 3/26
-> against:
52-6= 46
46/52
=23/26
Write the recursive formula for the following sequence 2, 8, 32, 128
Answer:
an+1 = 4an
Step-by-step explanation:
an+1 = 4an commonratio: r=4
2
2x4=8
8x4=32
32x4=128
Please help me the grading period ends in an hour
The height of a triangle is 4cm more than twice the length of the base.The area of the triangle is 35 square cm.Find the height of the triangle.
Answer:
14cm
Step-by-step explanation:
Algebra is the way!
But seriously, let's model this algebraically.
We know the that the area of a triangle is represented by:
[tex]A = \frac{1}{2} base*height[/tex]
we'll use b and h to represent base and height
[tex]A = \frac{1}{2} b*h[/tex]
Okay, so you are given the area of the triangle already. It is [tex]35 cm^2[/tex]. SO you have:
[tex]35 = \frac{1}{2} bh[/tex]
Now here's the tricky bit of the question. You have 2 unknown variables, oh no! How will you solve? The key to this is simple, in a case where you have 2 or more unknown variables, ALWAYS think to yourself, "can I represent this variable in terms of another"?
In this case you can. They tell you what the height of the triangle is, in terms of the length of the base. They tell you, height is 4 cm more than 2 times the base.
So replace h in this equation with 2b + 4.
[tex]35 = \frac{1}{2} (b)(2b+4)\\\\35 = \frac{1}{2}(2b^2 + 4b)\\ 70 = 2b^2 + 4b\\0 = 2b^2 + 4b - 70\\0 = (2)(b^2 + 2b - 35)\\0 = (b +7)(b - 5)\\\\b = 5\\b\ \neq -7[/tex]
Okay, so you know the base of the triangle is 5 cm. The question asks for height, so what you're going to do is refer back to what h is.
We found that [tex]h = 2b + 4[/tex]
sub in 5 into that:
[tex]h = 2(5) + 4 = 14[/tex]
Therefore the height of the triangle is 14cm.
Answer:
Step-by-step explanation:
Givens
Area = 1/2 B* H
B = B
H = 2*B + 4
Area = 35
Solution
35 = 1/2 * B * (2B + 4) Multiply both sides by 2
35*2 = 2*(1/2) * B * (2B + 4) Combine
70 = B(2B + 4) Remove the Brackets.
70 = 2B^2 + 4B Subtract 70 from both sides.
2B^2 + 4B - 70 = 0 Divide everything by 2
B^2 + 2B - 35 = 0 Factor
(B + 7)(B - 5)
B+7 = 0 will give a minus number. Geometry does not allow minus numbers.
B - 5 = 0
B = 5
But what you want is the height.
h = 2b + 4
h = 2*5 + 4
Answer: h = 14
Please help I'll mark brainliest.
Answer:
I believe the answer is class 3 because each number of boys and girls goes into class 3.
Answer: Class 3.
Step-by-step explanation: Answers with a 1 to 2 ratio have ratios like 4 to 8, or 5 to 10. Class 3 is the only one with a 1 to 2 ratio, which is 7 to 14, with 7 being the number of girls in that class and 14 being the number of boys in that class. Class 1 has a 1 to 1 ratio, class 2 has a 2 to 1 ratio, and class 4 has a different ratio than all the rest, so that's why all of those are wrong. Therefore, class 3 is your answer.
Have a great day! :)
Can someone please help me with this! Thanks <3
Answer:
H
Step-by-step explanation:
If you convert these fractions into decimals:
-2 1/2 = -2.5
-2.47 = -2.47
-2/5 = -0.4
5 = 5
21/4 = 5.25
You can see that the order from lest to greatest is answer H
Hope this helps :)
what is the value of x
Answer: x=17
Step-by-step explanation:(6x+x+4x)+(10+17-34)=180
we know this because triangles always equal 180o so the 3 angles equa; 180 so 187/11 + 17
please help brainliest included for honest attempt
Think of two different technological innovations that occurred in the last 50 years: one that relied largely on innovations within a specific technology (for example, the upgrades that smartphones have seen over the years) and one that relied largely on knowledge or skills that came from a field of technology that was distinct from the main field that innovation deals with (for example, video games that use technology originally designed for navigation). Briefly describe each innovation and what inspired it, then compare the innovations: for example, which innovation seems more of an incremental improvement versus a paradigm-shift in its field? Which one do you think was more widely used in the five years after it was invented? Which one most inspired other innovations?
Answer:
The Electric Car
The Cell Phone
The GPS
DNA Testing
3D Printing
A rectangle has a length of 32 yards less than 10 times its width. If the area of the rectangle is 384 square yards, find the length of the rectangle.
The length of the rectangle is 48 yards.
Let's denote the width of the rectangle as "w" yards.
According to the information given, the length of the rectangle is 32 yards less than 10 times its width. So, the length can be represented as: 10w - 32 yards.
The formula for the area of a rectangle is length times width: Area = length × width.
Given that the area of the rectangle is 384 square yards, we can set up an equation:
Area = length × width
384 = (10w - 32) × w
Now, let's solve for the width (w):
384 = 10w² - 32w
0 = 10w² - 32w - 384
Dividing the equation by 2 to simplify:
0 = 5w² - 16w - 192
Now we have a quadratic equation. We can either factor it or use the quadratic formula to solve for "w." Let's use the quadratic formula:
w = (-b ± √(b² - 4ac)) / 2a
For our equation, a = 5, b = -16, and c = -192. Plugging these values into the formula:
w = (16 ± √((-16)² - 4 × 5 × (-192))) / (2 × 5)
w = (16 ± √(256 + 3840)) / 10
w = (16 ± √4096) / 10
w = (16 ± 64) / 10
This gives us two possible solutions for the width:
w = (16 + 64) / 10 = 8 yards
w = (16 - 64) / 10 = -4.8 yards
Since width can't be negative, we'll ignore the second solution.
So, the width of the rectangle is 8 yards. Now, let's find the length using the earlier expression:
Length = 10w - 32
Length = 10 × 8 - 32
Length = 80 - 32
Length = 48 yards
Therefore, the length of the rectangle is 48 yards.
To know more about length:
https://brainly.com/question/2497593
#SPJ3
Kristy bought some rolls of wrapping paper and 2 bags of bows for less then $10. Each roll of wrapping paper and each bag of bows cost $1.50. Which inequality can be used to find w, the number of rolls of wrapping paper Kristy bought?
Answer:
[tex]w < 4 \frac{2}{3}[/tex]
Step-by-step explanation:
The inequality symbol for 'less than' is '<'.
Let's relate the cost and the number of each item bought together with an equation.
Total cost
= (number of rolls)(cost of each roll) +(number of bags)(cost per bag of bows)
= w(1.50) +2(1.50)
= 1.5w +3
Now, we can form the inequality.
Since the total cost is less than $10,
1.5w +3< 10
Subtract 3 from both sides:
1.5w < 10 -3
1.5w < 7
Divide both sides by 1.5:
[tex]w < 7 \div \frac{3}{2} [/tex]
[tex]w < 7 \times \frac{2}{3} [/tex]
[tex]w < \frac{14}{3} [/tex]
[tex]\textcolor{red}{w < 4 \frac{2}{3} }[/tex]
A point located at (-3, 2) is translated down 4 units. What are the coordinates of the image?
(-3, -2)
(1, 2)
(-3, 6)
(-7, 2)
Answer:
(-3, -2)
Step-by-step explanation:
When a point is translated, the key words are very important to look at.
Up/down means you are translating the y axis.
Left/right means you are translating the x axis.
So using this key, we can solve.
-------------------------------------------------------------------------------------------------------------
A point located at (-3, 2) is translated down 4 units.
Since the point is going down, we will be translating the y axis. 2-4 is -2.
Since the x is staying the same, the x will be -3.
So your translated points are (-3, -2)
-------------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
What is the value represented by letter A on the box plot of data? 50, 20, 40, 50, 50, 85
Answer:
the answer to your question is 5
Step-by-step explanation:
15 Mary needs to work out the size of angle x in this diagram.
DO NOT WRITE IN THIS AREA
63°
X
B
С
She writes
x = 63° because base angles of an isosceles triangle are equal.
Mary is wrong.
(a) Explain why.
Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°
What is a triangle?
A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.
An isosceles triangle is a triangle in which two sides and two angles are equal.
From the diagram:
∠A = ∠B (base angles)
Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°
Find out more on triangle at: https://brainly.com/question/17335144
Sayeed is buying a crate for his puppy. The crate is 20 inches long, 13 inches wide, and 16 inches high. What is the volume of the crate?
44. What three-dimensional figure can be made by folding the net?
ASSESSMENT 1
A rectangular pyramid
B. triangular pyramid
C. triangular prism
D. square pyramid
Answer:
Its B square pyramid
Step-by-step explanation:
Because
Zoe planted a walnut tree. Every week, she measures the tree and records its
growth. On the first week, the tree was 27 1/2 inches tall. On the second week, it was
29 1/4 inches tall. On the third week, it was 31 1/3 inches tall. How much did the tree
grow from the first week until it was measured on the third week? Show your work.
The tree grew about 3.83 inches between the first and third week.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
On the first week, the tree was 27 1/2 inches (27.5) tall. On the second week, it was 29 1/4 inches (29.25) tall. On the third week, it was 31 1/3 inches (31.33) tall.
The length grown = 31.33 - 17.5 = 3.83 inches
The tree grew about 3.83 inches between the first and third week.
Find out more on equation at: https://brainly.com/question/2972832
Find the equation of the tangent to the circle x2 + y2 = 109 at point (-10,3)
Answer:
10x - 3y = -109 .
Step-by-step explanation:
x^2 + y^2 = 109
Implicit Differentiation:
2x + 2y.y' = 0
y' = -2x/2y = -x/y
So at the point (-10,3) the gradient of the tangent is -(-10)/3 = 10/3.
Equation of the tangent:
y - y1 = m(x - x1)
y - 3 = 10/3(x + 10)
y - 3 = 10/3 x + 100/3
3y - 9 = 10x + 100
-109 + 3y = 10x
10x - 3y = -109
(2)Please help with both questions
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Let's think of the boat and wind as vectors:
Boat Vector --> [tex]\langle28cos36^\circ,28sin36^\circ\rangle[/tex]
Wind Vector --> [tex]\langle10cos22^\circ,10sin22^\circ\rangle[/tex]
Now, let's add the vectors:
[tex]\langle28cos36^\circ+10cos22^\circ,28sin36^\circ+10sin22^\circ\rangle[/tex]
Find the magnitude (the true velocity):
[tex]\sqrt{(28cos36^\circ+10cos22^\circ)^2+(28sin36^\circ+10sin22^\circ)}\approx37.78\approx38[/tex]
Find the direction (angle):
[tex]\theta=tan^{-1}(\frac{28sin36^\circ+10sin22^\circ}{28cos36^\circ+10cos22^\circ})\approx32.32^\circ\approx32^\circ[/tex]
Thus, D is the best answer
Problem 2
Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of the vectors and [tex]||u||*||v||[/tex] is the product of each vector's magnitude:
[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{\langle-82,47\rangle\cdot\langle92,80\rangle}{\sqrt{(-82)^2+(47)^2}*\sqrt{(92)^2+(80)^2}})\\\\\theta=cos^{-1}(\frac{(-82)(92)+(47)(80)}{\sqrt{6724+2209}*\sqrt{8464+6400}})\\\\\theta=cos^{-1}(\frac{(-7544)+3760}{\sqrt{8933}*\sqrt{14864}})\\\\\theta=cos^{-1}(\frac{-3784}{\sqrt{132780112}})\\\\\theta\approx109.17^\circ\approx109^\circ[/tex]
Therefore, C is the best answer
Help me out please I don’t understand
[tex]\\ \sf\Rrightarrow y=-4(x+2)^2-1[/tex]
Compare to the vertex form of parabola
y=a(x-h)^2+kh=-2k=-1So vertex should be at (h,k)=(-2,-1)
Graph attached
do this only on number line
#4
-2/8=-1/43/6=1/2Refer to the attachment
#2
Mid point:-
-2/5+1/2/2-4+5/10/21/10/21/20Step-by-step explanation:
please mark me as brainlest
a cone has a volume of 18π in^3. What are the possible dimensions of the cone? check all that apply..
A. diameter 1in, height 8in
b. diameter 6in. height 6in
c. diameter 3in, height 6in
d. diameter 6in, height 3in
e. diameter 4in, height 13.5in
f. diameter 13.5in, height 4in
we can do it again and I am a big deal for the first day back to the first to see the first to be in the first time I was a good idea but I have a great time to be the first to see this movie is the best of luck to everyone for all the time of year when I get to the world to me I rent and the rest is history and culture and the rest of your own business and the first
Step-by-step explanation:
sana po makatulong
g. a car travels at 60m/s for 50minutes
south west.calculate how far it will travel
Step-by-step explanation:
first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min
we just multiply 50 by 3.6.
therefore the car travels 180km south west
3. The object has the shape of a rectangular prism, but part of a face is missing.
Find the surface area of the object and show your work.
a)
Find the surface area of the complete prism.
5 cm
30 cm
20 cm
10 cm
15 cm
I need an answer
find the circumference of a circle whose.
A. Diameter is 14cm
B. Radius is 3.5cm
Hello!
Circumference of a Circle
C=πd
or
C=2πr
Plug in the values
C=14π
C≈44 cm
C=2π×3.5
C≈22 cm
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
;-)
The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?
SHOW WORK PLEASE AND THANKYOU
and be quick please
Answer:
$150
Step-by-step explanation:
let x be the original price
105 = 0.7x
150 = x
The giraffes at the Liberia zoo eat 75 pounds of food per day, and 52.5 pounds per day comes from acacia leaves. How much of their diet comes from other types of leaves?
Julia, the zookeeper, used the equation 52.5 + x = 75 to find the answer. Which equation is an equivalent equation that can be used to solve the problem?
Answer:
Step-by-step explanation:
75-52.5=x
Can someone help me with this question please?
Answer:
a) 96 = 3.57√h
b) h ≈ 723.11 m
Step-by-step explanation:
a)The equation you want to solve is the model with the given values filled in.
D(h) = 3.57√h . . . . model
96 = 3.57√h . . . . . equation for seeing 96 km to the horizon
__
b)We solve this equation by dividing by the coefficient of the root, then squaring both sides.
96/3.57 = √h
h ≈ 26.891² ≈ 723.11 . . . . meters above sea level
Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.
Write an equation for the graph in terms for x
Y=
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
Answer:
Let y = the amount in Adrianna's savings account
Let x = the number of weeks passed
y = 5x + 20
Factorize the given expression below.
a. 6x power 2 - 3x
b) x power 2 + 3x - 28
c) 4qu + 24av - 5bu -30bv
please answer and make it clear thank you.
Step-by-step explanation:
a)[tex] \sf \: Factor 6x2−3x \\ \sf {6x}^{2} −3x \\ \sf \: =3x(2x−1) \\ \sf \: Answer:3x(2x−1) \\ [/tex]
b)Let's factor x²+3x−28
⇒x²+3x−28
⇒x² - 4x + 7x - 28
⇒(x² - 4x) + (7x - 28)
⇒x( x - 4) + 7(x - 4)
⇒(x -4) (x + 7)
Answer:
(x−4)(x+7)
How many possible outcomes exist? 2 3 5 6
Answer:
1.) C2.) C3.) D4.) D5.) C
Step-by-step explanation: