these rectangles are similar. find the measurement of the missing side.
Jake scored 28 points in his basketball game by shooting only two-point and three-point shots. He scored a total of 13 baskets.
Write a system of equations to represent the number of each type of basket Jake scored.
The system of equations that represents the number of each type of basket Jake scored is given by:
x + y = 13
2x + 3y = 28
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of two-point shots.Variable y: Number of three-point shots.Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:
2x + 3y = 28.
He scored a total of 13 baskets, hence:
x + y = 13.
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If v² = u² + 2gs, find the value of s when v = 25, u = 12 and g = 10
Answer:
24.05
Step-by-step explanation:
v² = u² + 2gs
(25)² =(12)² +2(10)s
625=144+20s
625-144=20s
481=20s
481/20=s
24.05=s
s=24.05
What is the probability that the arrow will land on 1 or 2?
A. 2/5
B. 2/3
C. 3/4
D. 1/5
The probability that the arrow will land on 1 or 2 is 2/5.
What is Probability ?Probability is the ratio of occurring a certain event out of the total possible events.
If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.
From the given data
Total no. of regions in the circle is 5
The probability that the arrow will land on 1 or 2 is
P(1) = 1/5
P(2) = 1/5
∴ P(1) or P(2) is
= 1/5 + 1/5
= 2/5
Here we have used addition because of OR statement.
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2x^2+7x-4=0 by factor ing
Answer:
[tex]x=0.5, \\\\x=-4[/tex]
Step-by-step explanation:
Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,
[tex]2x^2 +7x - 4=0[/tex]
In factored form,
[tex](2x-1)(x+4)=0[/tex]
Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),
[tex]2x-1=0[/tex]
Inverse operations,
[tex]2x=1\\x=0.5[/tex]
[tex]x+4=0[/tex]
Inverse operations,
[tex]x=-4[/tex]
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]x =\frac{1}{2},-4[/tex]
[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]
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estimate £19.65 x 395
Answer:
£7761.75
Step-by-step explanation:
Calculator..?
Answer:
7761.75 or 7,762
Step-by-step explanation:
Round to the nearest hundredth if
necessary. Solve.
689.634 + 14.6
Answer: 704.2 or 704.23 but its most likely the first one.
Hope this helps <3.
which polynomial function is graphed below? A. f(x)=(x-4)(x+2)2
B. f(x)=(x+4)(x-2)2
C. f(x)=(x+4)2(x-2)
D. f(x)=(x-4)2(x+2)
Answer:
b) f(x)=(x+4)(x-2) 2.....
The zeros on the graph satisfy the function f(x)=(x+4)(x-2)². Therefore, option B is the correct answer.
In the given graph, the function is plotted.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The zero of a polynomial is (2, 0) and (-4, 0)
A. f(x)=(x-4)(x+2)²
Put (2, 0) in y=(x-4)(x+2)², we get 0=(2-4)(2+2)²
LHS≠RHS
B) f(x)=(x+4)(x-2)²
Put (2, 0) in y=(x+4)(x-2)², we get 0=(2+4)(2-2)²
LHS=RHS
Put (-4, 0) in y=(x+4)(x-2)², we get 0=(-4+4)(-4-2)²
LHS=RHS
C) f(x)=(x+4)²(x-2)
Put (2, 0) in y=(x+4)²(x+2), we get 0=(2+4)²(2+2)
LHS≠RHS
D) f(x)=(x-4)²(x+2)
Put (2, 0) in y=(x-4)²(x+2), we get 0=(2-4)²(2+2)
LHS≠RHS
The zeros on the graph satisfy the function f(x)=(x+4)(x-2)². Therefore, option B is the correct answer.
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12. Karen borrowed a sum of money for some big screen TVs and a
waterfall for her restaurant. If she borrowed $10,200 and received a 3.85
% interest rate compounded continuously, how much did Karen pay in
interest over a 7 year period? Round your answer to the nearest whole
number.
Answer:
$3,155
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.85/100
r = 0.0385 rate per year,
Then solve the equation for A
The formula is given as:
A = Pe^rt
Where
P = Principal = $10,200
r = interest rate = 0.0385
t = Time in years = 7
A = Amount paid after t years
A = 10,200.00 × e^(0.0385×7)
A = $13,354.96
A = P + I where
P (principal) = $10,200.00
I = $13,354.96 - $10,200
I (interest) = $3,154.96
Therefore, the amount of money Karen paid after 7 years in interest to the nearest whole number is $3,155
Which of the ratios is equivalent to cos B?
Answer:
Cos <B = 3/5
Step-by-step explanation:
Find the diagram attached
From the diagram, we have;
Hypotenuse BC = 80
Opposite to <B = AC =64
Adjacent AB = 48
According to SOH CAH TOA identity
Cos theta = adjacent/hypotenuse
Cos<B = AB/BC
Cos <B = 48/80
Express in its simplest form
Cos <B = (16*3)/(16*5)
Cos <B = 3/5
Hence the ratio of cos<B in its simplest form is 3/5
PLEASE HURRY!!
Caroline earns $12.00
per hour at her job. Which answer choice is an equation that correctly represents
the total amount of money, m, that Caroline earns after working for a certain number of hours, h?
The five new teachers at a school were surveyed. Is this sample of teachers at the school likely to be biased?
Answer:
yes because since they are new they are all going to have a different opinion on the school than other teachers thats been there for years
hope this helps
have a good day :)
Step-by-step explanation:
Yes, it would likely be biased because they might be like an advertisement since they weren't teaching for years at this school.
If this helps, please mark me brainliest!
Have an amazing day!
Graph the oppoke of the opposite of -6 on the nurntar line. Click on the number line to
Identify the numbersfocation.
+
+
1
+
2
+
5
+
10
4
12
Answer:
The opposite of -6 is positive 6
Answer:
-6
Step-by-step explanation:
The opposite of the opposite of a number is the number itself
In a circle with radius 7.4, an angle intercepts an are of length 36.6. Find the angle in
radians to the nearest 10th
Answer: 4.9
Step-by-step explanation: delta math
A soccer field is a rectangle 48 meters wide and 55 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
Answer:
Distance = 73 m
Step-by-step explanation:
Given that,
The length of a rectangle = 48 m
The width of a rectangle = 55 m
We need to find the diagonal distance. We can use the Pythagoras theorem to find it.
[tex]d^2=48^2+55^2\\\\d=\sqrt{5329}\\\\d=73\ m[/tex]
So, the required distance is equal to 73 m.
If the volume of a cube is 64units3, what is the area of one of the face of the cube?
Answer:
16 units²
Step-by-step explanation:
Volume:
v = s³
64 = s³
Take the cube root of both sides
4 = s
Area:
a = s²
a = 4²
a = 16 units²
Answer to this??????
Answer:
its 40 milmeters
Step-by-step explanation:
The graph shows the marginal cost of producing soccer cleats for Sabrina’s Soccer.
At which level of production does the company make the least profit?
A. the first pair of cleats
B. the second pair of cleats
C. the third pair of cleats
D. the fourth pair of cleats
Answer:
A
Step-by-step explanation:
The third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.
What is a graph?"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".
For the given situation,
The graph is plotted between the production of pair of cleats to the marginal cost.
The first pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$7[/tex].
The second pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$1[/tex].
The third pair of cleats shows the marginal cost is [tex]\$1[/tex].
The fourth pair of cleats shows the marginal cost is from [tex]\$4[/tex] to [tex]\$6[/tex].
Hence from the given data, the third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.
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If you deposit $2000 into an account paying 6% annual interest, how much money will be in the account, after 5 years if it is compounded daily
Answer:
$2,699.72
Step-by-step explanation:
Given that
The deposited amount is $2,000
The annual rate of interest is 6%
And, the time period is 5 years
We need to find out the amount that would be in the account in the case when it is compounded daily
So,
The following formula should be used
= Deposited amount × e^(rate, time period)
= $2,000 × e^(0.06,5)
= $2,000 × e^0.3
= $2,699.72
Help please !!!!!!!!!!!
CSC B = 25/7 and the sec B =25/24 find tan B??
Answer:
tan β = [tex]\frac{7}{24}[/tex]
Step-by-step explanation:
Using the identities
sin x = [tex]\frac{1}{cscx}[/tex] , cos x = [tex]\frac{1}{secx}[/tex] , tan x = [tex]\frac{sinx}{cosx}[/tex] , then
sinβ = [tex]\frac{1}{\frac{25}{7} }[/tex] = [tex]\frac{7}{25}[/tex]
cos β = [tex]\frac{1}{\frac{25}{24} }[/tex] = [tex]\frac{24}{25}[/tex]
Then
tan β = [tex]\frac{\frac{7}{25} }{\frac{24}{25} }[/tex] = [tex]\frac{7}{25}[/tex] × [tex]\frac{25}{24}[/tex] = [tex]\frac{7}{24}[/tex]
Answer:
tanβ = 7/24
Step-by-step explanation:
Given:
cscβ = 25/7
secβ = 25/24
tanβ = ?
Recall:
cscβ = 1/sinβ
secβ = 1/cosβ
tanβ = sinβ/cosβ
Rewrite and simplify:
tanβ = sinβ/cosβ
tanβ = (1/cscβ)/(1/secβ)
tanβ = (1/(25/7))/(1/(25/24))
tanβ = (7/25)/(24/25)
tanβ = (7/25)(25/24)
tanβ = (7*25)/(25*24)
tanβ = 175/600
tanβ = 35/120
tanβ = 7/24
 what is the If-Then form of the following statement “you can go to the movies after you do your homework.”
a. if you do you homework then you can go to the movies
b. if you went to the movies then you did your homework
c. if you didn’t go to the movies then you didn’t do your homework
d. if you don’t do your homework then you can’t go to the movies
please help .
Ok, this is a bit tricky, it might be A or D.
A. Because 'you can go to the movies if you do your homeowork.)
B. Because it just flips things aroudn but it's still correct.
I would think the best choice would be A.
If this helps, please mark me Brainliest!
Have a fabulous day!
Divide £90 in the ratio of 3:7
Find the value of x.
Answer:
X=23
Step-by-step explanation:
DUE SOON PLS HELP!!! What is the measure of angle x
Answer:
it is a ritual
Step-by-step explanation:
Answer:
66 degrees
Step-by-step explanation:
A. x € R
B. x > 0
C. y > 0
D. y € R
I need the answers right away!!
If 6 cubes with an edge length of 14 can fit the height of the prism, what is the height of the prism? Enter the missing part of the answer.
Answer: [tex]84\ \text{units}[/tex]
Step-by-step explanation:
Given
The length of each cube is [tex]a=14\ \text{units}[/tex]
If there are 6 cubes placed over each other, then the height achieved by the cubes is
[tex]\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}[/tex]
Please solve will give brainly
Answer:
The societies gained the most was east asia because they helped eachother the mongols kept them safe. The mongols helped keep the trade routes safe and buliding the silk road. Western europe was the one that gained the least because mongols took over and it was never the same after that.
Step-by-step explanation:
A rectangular aquarium with a base of 3 in. By 4 in. And a height of 12in. What is the longest piece of wood you can place in diagonally in the tank
Answer:
Step-by-step explanation:
:P nice points ty :)
find the length of the long diagonal across the tank.
first find the 2D diagonal , then use that dist. to find the long 3D diagonal
[tex]C^{2}[/tex] = [tex]3^{2}[/tex]+[tex]4^{2}[/tex]
C = 5 (2D)
now find the 3D
[tex]C^{2}[/tex] = [tex]5^{2}[/tex]+[tex]12^{2}[/tex]
C = 13 inches
( they made it easy ) :)
helpppppppppppppppppppppp plsssssssssssssssss
m∠b= 25°
Answer:
Step-by-step explanation:
The total of all angles in the triangle is 180
You already know 2 values for the triangle, Angle A 25 as well as Angle C 90
Your formula is
180 - 90 -25
I need someone to save me this is so hard
Answer:
Oh I want the ponts give me the branlest to!
Step-by-step explanation: