Answer:
Step-by-step explanation:
We are going to use the areas given to find the lengths of the sides of each of their respective squares. For the purple square, the area is 35 units squared. Because the formula for the area is A = s * s, then we can fill in the value for the area and solve for s, the side length, of the purple square.
[tex]35=s^2[/tex] and
[tex]s=\sqrt{35}[/tex]. That side length also serves as the height of the right triangle. Now on to the blue square on the bottom. It has an area of 50 units squared, so
[tex]50=s^2[/tex] and
[tex]s=\sqrt{50}[/tex]. We could feasibly simplify that, but it's not necessary, really. That side serves as the base of the right triangle. Now we can use Pythagorean's Theorem to find the length of the hypotenuse of the right triangle, which also serves as the side of the big blue square. We will call the side of the big blue square x.
[tex]x^2=(\sqrt{35})^2+(\sqrt{50})^2[/tex] and
[tex]x^2=35+50[/tex] and
[tex]x^2=85[/tex] and
[tex]x=\sqrt{85}[/tex]. That is the side length of the large blue square. The area for the square is s * s, and since we know the side length to be √85:
[tex]A=(\sqrt{85})(\sqrt{85})[/tex] so
A = 85 units squared
PLZ HELP, AND PLZ EXPLAIN!
Answer: 20 units
Step-by-step explanation: The diagonal forms a Right Triangle with the side opposite the 30° angle, and the hypotenuse is the base. In a 30, 60, 90 triangle, the hypotenuse is always twice the length of the short side, given as 4. So the base is 8.
The upper triangle is iscosceles, and the trapezoid is iscosceles, so the other sides are all 4 units in length.
3×4=12
8+12=20 units
divide $1600 in the ratio of 3:7:10
Answer:
240, 360, 800
Step-by-step explanation:
We can call the numbers 3x, 7x, and 10x and then we can write:
3x + 7x + 10x = 1600
20x = 1600
x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.
Solve for x. 2000=500e^4x
Answer:
A. x = (ln(4))/4
Step-by-step explanation:
2000 = 500e⁴ˣ
(2000)/500 = (500e⁴ˣ)/500
4 = e⁴ˣ
ln(4) = ln(e⁴ˣ)
ln(4) = 4x
(ln(4))/4 = (4x)/4
(ln(4))/4 = x
x = (ln(4))/4
Answer:
A. x = ln(4)/4
Step-by-step explanation:
4x-8/x^2+3x-10 = 4(x-2)/x^2+3x-10 factor the quadratic expression in the denominator of the expression.
Answer:
(x + 5)(x - 2)
Step-by-step explanation:
Given
x² + 3x - 10 ← expression on the denominator
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)
The factors are + 5 and - 2, since
5 × - 2 = - 10 and 5 - 2 = + 3, thus
x² + 3x - 10 = (x + 5)(x - 2)
Tommy wants to make ice cream for his birthday party. He has 6 cups of cream. Each batch
of ice cream takes 3/4 cups of cream. How many batches can he make? *
Answer:
8 batches
Step-by-step explanation:
Take the total amount of cream and divide by the amount of cream per batch
6 ÷ 3/4
Copy dot flip
6 * 4/3
6/3 *4
2*4
8 batches
Keith is the leading goal scorer for a team in an ice hockey league . Last season , he scored 42 goals in 82 games . Assuming he scores goals at at a constant rate , what is the slope of the line that represents this relashonships if the number of games is is along the x-axis and the number of goals is along the y-axis
Answer: The slope is 21/41.
Step-by-step explanation:
IF the goals he scores is at a constant rate the we know if you would have to graph it, it will go through the origin.
To find the slope of a constant relationship,you will divide the y value by the x value.Now it indicates to us that x is the number of games while y is the number of goals.
so 42/82 which reduces to 21/41 has to be the slope .
Answer:
it’s 21/41 or A (I got a 100% on the test)
2 rectangles have the same area. rectangle A is 6cm by 4cm, B is 3cm by Xcm. what is the value of X?
Answer:
x=8
Step-by-step explanation:
If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.
5x4 – 7x3 – 5x2 + 5x + 1 = 0
Help.me!!!!!!!!!!!!!!!!!
Answer:
∠U = 40°
Step-by-step explanation:
in order to find the missing angle of U we need to know the two other angles.
We know that ∠T is 65° and we know that ∠TSF is 105°. Because ∠TSF is an exterior angle, we can subtract 180 to get the interior angle. This would mean that ∠S is 75°.
Using this we can add 65 to 75 then subtract the total from 180 to get ∠U.
This would mean that ∠U is 40°
help can you also show how you do it too
Answer:
m the slope of function=-3
Step-by-step explanation:
to find the slope take two points from the graph:
(0,4), (1,1)
m= y2-y1/x2-x1
m=1-4/1-0
m=-3/1=-3
the equation : y=mx+b find b
when x=0, y=b=4
y=-3x+4
What are the first four terms of the sequence a1=−9 and an+1=an+n. I really need help with this im struggling
[tex]a_{n+1}=a_n+n[/tex]
The formatting was a bit confusing, so please do let me know if this isn't the correct equation for the sequence.
The first term is given, which is
[tex]a_1=-9[/tex]
Now, use the equation for the next terms:
[tex]a_{1+1}=a_2=-9+1=-8[/tex]
[tex]a_{2+1}=a_3=-8+2=-6[/tex]
[tex]a_{3+1}=a_4=-6+3=-3[/tex]
Thus, the first 4 terms are -9, -8, -6, and -3. Let me know if you need any clarifications, thanks!
what is productivity?
a. quantity of input per unit of output
b. quantity of output per unit of input
c. quality of output per unit of input
d. quality of input per unit of output
Answer:
This is the quantity of output per unit of input.
Step-by-step explanation:
I'm very sure.
For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. HELP ASAP THANKS!!
What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2
We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.
The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.
Giselle has $40 to spend on parking this month. Parking costs her $2.50 each day. After Giselle parks for 9 days, which statement is true? 1.Giselle has spent less than 12 of her parking money. 2.Giselle has spent 12 of her parking money. 3.Giselle has spent more than 12 of her parking money. 4.Giselle has spent almost all of her parking money.
Answer:
Giselle has spent more than 1/2 of her parking money.
Step-by-step explanation:
John can cut the yard on a riding lawn mower in 2 hours. Sandy can cut the yard with a push mower in 5 hours. How long would it take to cut the yard if John and Sandy work together? (Express in hours and minutes)
Answer:
2x/5x= 7
Step-by-step explanation:
Need help with #11 please
Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1) and draw a straight line through them.
Step-by-step explanation:
The equation y= 5-x can be rewrite as y = -1x + 5 and it can be identify as a linear equation in slope intercept form. Now you could plot in any value of x and solve for y.
x y (x,y)
0 5 (0,5) If you put in 0 for x y will be 5
1 4 (1,4) if you put in 1 for x, y will be 4
2 3 (2,3) if you put in 2 for x, y will be 3
4 1 (4,1) if you put in 4 for x, y will be 1
5 0 (5,0) if you put in 5 for x y will be 0.
Sum of four consecutive multiplies of 7 is 70.Find these multiplies.
please
Answer: 7, 14, 21, 28
Step-by-step explanation:
Let first multiple = x
So, second multiple = x + 7
Third = x + 14
Fourth = x + 21
According to the question,
=>x + (x + 7)+ (x + 14) + (x + 21) = 70
=>4x + 42 = 70
=>4x = 28
=>x = 7
So, the multiples are 7(x), 14(x+7), 21(x+14), 28(x+21)
Which property best describes the conditional statement below?
If triangle ABC= triangleDEF, then ADEF= triangleABC
Answer:
symmetric property
Step-by-step explanation:
because if we say
a=b and b=a
we referred to symmetric property
the range of y=x^3 is all real numbers, y>0, or y>_0
Answer:
All real numbers
Step-by-step explanation:
When you graph f(x) = x³, you should be able to see that within the range of y-values, you get infinite outputs because the domain has infinite inputs.
What is the sum of 1.57 and 6.88?
Answer:
8.45
Step-by-step explanation:
You add the ones place together:
1 + 6 = 7
You add the tenths place together:
0.5 + 0.8 = 1.3
You add the hundredths place together:
0.07 + 0.08 = 0.15
Then you combine them all together to get 8.45
ABCD is a rectangle.
Use the diagram to answer the questions.
The length of AB is __
The length of BC is __
The length of AC is __
Answer:
12
5
13
Step-by-step explanation:
The amount of money in Joe’s savings account is increased by 8% each year. Given that he has £500 in 2016. Work out how much Joe will have in 2021.
Answer:
£700
Step-by-step explanation:
First we find the interest on this money.
Interest = Principal * Rate * Time
=[tex]\frac{500 * 8 * 5}{100}[/tex]
=5 * 8 * 5
=£200
Interest = £200
Now you add his actual money to the interest you just found to give you the total amount.
Amount = £500 + £200
= £700
Simplify.
Rewrite the expression in the form b^n
(b^3)^2
Answer: b⁶
Step-by-step explanation:
The for bⁿ can be optained by multiplying 3 and 2. If there is an exponent on the outside of the parenthesis, you multiply it with the exponent on the inside.
(b³)²=b³ˣ²=b⁶
4. Use a tree diagram to display the possible outcomes when a coin is tossed three times
and use it to find the probability of tossing exactly 2 tails.
Answer:
i. {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
ii. The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375)
Step-by-step explanation:
when a coin is tossed, the outcomes can either be a head or a tail. The tree diagram attached to this answer shows the display of the possible outcomes when a coin is tossed three times.
The possible outcomes when a coin is tossed three times are:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
where; H represents the head and T represents the tail.
Pr(tossing exactly 2 tails) = [tex]\frac{number of outcome of 2 tails}{total number of outcome}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
The probability of tossing exactly 2 tails is [tex]\frac{3}{8}[/tex] (or 0.375).
NEED MATH HELP NOW. Please solve for the x-intercept. Please show work.
Answer:
x = 1 and x = 3.
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 8x + 6
y = 2([tex]x^{2}[/tex] - 4x + 3)
y = 2(x - 3)(x - 1)
So, the x-intercepts would be at...
x-3 = 0
x = 3
and
x - 1 = 0
x = 1
Hope this helps!
A bag of fruit in the supermarket contains 4 oranges and 9 apples.You buy enough bags to get 32 oranges.How many apples will you get?
Answer:
37 apples
Step-by-step explanation:
just add 5 to 32
Answer:
72
Step-by-step explanation:
Oranges:Apples
4:9
4*8:9*8
32 oranges:72 apples
Someone please help!!
Answer:
A) V + 6 B = 372
B) 4V + 12B = 780
We'll divide B) by -4
B) -V -3B = -195 Then we add A)
A) V + 6 B = 372 which equals
3B = 177
1 Bus carries 59 Students
For the Van let's use equation A)
V + 6 * 59 = 372
Van = 372 -354
Each Van Carries 18 Students
Step-by-step explanation:
Find the total surface area of this cylinder. Give your answer to one decimal place first correct answer will get brainliest and 5 stars!!!
Answer:
The surface area formula is 2πr (h + r) where r and h are the radius and height respectively. Since π = 3.14, r = 7, h = 15 the answer is:
2 * 3.14 * 7 * (15 + 7) = 43.96 * 22 = 967.6
What is the explicit formula of -1,-3,-9,-27
Answer:
(-1)* (3)^(n-1)
Step-by-step explanation:
common ratio is 3 and the first term is -1
the explicit formula is a * r^ ( n-1)
i.e., (-1) * 3^(n-1)
Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE. A horizontal line has points C, F, E, G. 2 lines extend from the line at points F and E to form an isosceles triangle with point D. Angle DEF measures 75°. What is the measure of angle CFD? 105° 125° 150° 165°
Answer:
105 degrees
Step-by-step explanation:
Angle DEF measures 75°.Triangle DEF is an isosceles, so AngleDEF Is-congruent-toAngleDFE.
the angles all together is 180 degrees
so 180 - 75 = 105 degrees
The measure of angle CFD is 105 degrees.
What is the angle sum property?The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
Angle DEF = 75°.
Triangle DEF is isosceles, so Angle DEF Is-congruent-to Angle DFE.
Angle DFE + Angle CFD = 180 (angle on a straight line)
so 180 - 75 = 105 degrees
Thus, Angle CFD = 105 degree
Learn more about the triangles;
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