Answer:
19.2
Step-by-step explanation:
1st Case:
4 and 5 are legs of the right triangle.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+5^2=x^2
16+25=x^2
41=x^2
x=√41
√41 is about 6.4
x=6.4
2nd Case
5 is the hypotenuse of the right triangle and 4 is the legs.
Using the pythagorean therom: a^2+b^2=c^2
We can say that 4^2+x^2=5^2
16+x^2=25
x^2=9
x=3
Final Step
We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2
Anwser: 19.2
For the years between 1990 and 2009, the regression equation yˆ=0.15x+3.95 models the minimum wage, where x is the number of years after 1990.
Which statement is the best interpretation of the slope? Which statement is the best interpretation of the y-intercept? Select both correct responses.
Question 3 options:
The minimum wage increased by $0.15 per year.
The minimum wage in 1990 was $4.10.
The minimum wage increased by $0.15 every 4 years.
The minimum wage in 2000 was $3.95.
The minimum wage in 1990 was $0.15.
The minimum wage increased by $3.95 per year.
The minimum wage in 1990 was $3.95.
Answer:
1.) The minimum wage increased by $0.15 per year.
5.) The minimum wage in 1990 was $0.15.
7.) The minimum wage in 1990 was $3.95.
Step-by-step explanation:
given that the years between 1990 and 2009, the regression equation yˆ=0.15x+3.95 models the minimum wage.
where x = 19 years
The slope = 0.15
The intercept = 3.95
The best statement for interpretation of the slope and interpretation of the y-intercept are:
1.) The minimum wage increased by $0.15 per year.
5.) The minimum wage in 1990 was $0.15.
7.) The minimum wage in 1990 was $3.95.
How many triangles can be drawn with one 90 degree angle, a 70 degree angle, and an included side measuring 3 inches?
I suppose as many as we care to, but they're all congruent. We're given two angles and an included side. ASA, angle side angle, is a theorem that yields congruent triangles.
Answer: 1
Answer: you can draw as many as you want, but they will all be congruent. So actually only one. It's the ASA theorem to prove congruence.
Step-by-step explanation:
what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)
Answer:
The slope is 3
Step-by-step explanation:
The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)
The slope of the line given is 3.
What is a slope of a line?Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
Given is a line passing through points (-2, -3) (-4, -9), we need to find its slope,
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-
y₂-y₁ / x₂-x₁
Here, (x₁, y₁) and (x₂, y₂) are (-2, -3) (-4, -9)
So, the slope is = -9+3 / -4+2 = -6 / -2 = 3
Hence, the slope of the line given is 3.
Learn more about slopes, click;
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In how many ways can you arrange nine CDs one after another on a shelf?
Answer:
The number of arrangements of the 9 CDs along a shelf is 362,880.
Step-by-step explanation:
MARK AS BRAINLIEST PLZ :)
Answer:
the answer to your question is 362880
Answer as soon as you see this. I need lots of help
Answer:
GFD = 132.7
Step-by-step explanation:
JIF and GFD are same side interior angles and when the lines are parallel, same side interior angles are equal
JIF = 132.7 so GFD = 132.7
In the diagram shown, we are given that JIF and GFD are parallel lines. However, these lines are also same side interior angles. This means that they will be equal to each other since they are parallel lines. Remember, parallel lines are coplanar lines that do not intersect.
So if JIF = 132.7°, then GFD also measures 132.7°.
Help me with this pls!
how is the interquartile range calculated?
a) maximum minus minimum
b) quartile 3 (q3) minus median
c) quartile 3 (q3) minus quartile 1 (Q1)
d) median minus quartile 1 (Q1)
What is perimeter of rectangle JKLM?
Answer: 16 units
Step-by-step explanation:
Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16
The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 5 vans and 10 buses with 410 students. High School B rented and filled 10 vans and 12 buses with 556 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?
Answer:
A van can carry 15 students and a bus can carry 966 students
find the two values that x can have if x2-12=37
Answer:
[tex]x2 - 12 = 37[/tex]
Step-by-step explanation:
Add 12 to both sides:
[tex]x2 - 12 + 12 = 37 + 12[/tex]
Simpilfy:
[tex]x2 = 49[/tex]
Simplify:
[tex]2x^{2} = 49[/tex]
Simplify:
[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]
[tex]x^{2} = \frac{49}{2}[/tex]
For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]
x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]
-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]
x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Answer:
[tex]x = 7 \\ x = - 7[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]
Alicia buys a 8-pound bag of rocks for a fish tank. She uses 3 1/8 pounds for a large fish bowl. How much is left? (Rename the 8 pound bag of rocks. Then subtract to find the correct answer.)
Answer:
4 7/8
Step-by-step explanation:
Total pound=8
Total used=3 1/8
Leftover=?
8-3 1/8
=8-25/8
L.C.M of 8 and 25/8 is 8
=.64-25 /8
=39/8
=4 7/8
A lifeguard sits in a chair that is 2.3 metres high. She spots a child in trouble in the
water at an angle of depression of 32◦. How far out from the base of the chair is the child?
Answer:
base= 3.681 metres far
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculated based on 2 given angles and 1 given side.
∠C = 180° - A - B = 1.01229 rad = 58°
b = a·sin(B)/sin(A) = 4.34028
c = a·sin(C)/sin(A) = 3.68077
Area =ab·sin(C) /2
= 4.23288
Perimeter p = a + b + c = 10.32105
Semiperimeter s =a + b +c/2
= 5.16053
Height ha =2×Area/a
= 3.68077
Height hb = 2×Area/b
= 1.95051
Height hc = 2×Area/c
= 2.3
Median ma = √(a/2)2 + c2 - ac·cos(B) = 3.85624
Median mb = √(b/2)2 + a2 - ab·cos(C) = 2.17014
Median mc = √(c/2)2 + b2 - bc·cos(A) = 2.94568
HELP I NEED HELP IN FINDING THE AREA OF THIS SHAPE
PLZ SHOW HOW U GOT IT THIS IS THE SECONF TIME I ASKED
Answer:
18 units² if that's a parallelogram
Step-by-step explanation:
parallelogram area is BxH, so 6×3.
I also learned that like 5 minutes ago so it may be wrong.
Fran drew a triangle with no congruent sides and 1 right angle.
Which term accurately describes the triangle?
Mark all that apply.
A right
B isosceles
C scalene Which on is it
D acute
Answer:
A. and C.
right triangles have a right angle and scalene triangles don't have any congruent sides.
Isosceles means two sides are congruent.
Acute means all sides are 89 degrees or less.
Hope this helps
Step-by-step explanation:
You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?
Answer:
496000$
Step-by-step explanation:
Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid?
The height of each pyramid is One-halfh units.
The height of each pyramid is One-thirdh units.
The height of each pyramid is One-sixthh units.
The height of each pyramid is h units.
Answer:
I believe "The height of each pyramid is one-half h units"
Answer:
It's A I JUST DID IT
Step-by-step explanation:
a square of area is 36 cm squared is cut to make two triangles, A and B. The ratio of area A to area B is 2:1. Work out the dimensions of rectangles A and B.
Dimensions of:
Rectangle A are 6 cm by 4 cm.
Rectangles B are 6 cm by 2 cm.
Step-by-step explanation:
It is given that:
The area of square is 36 cm^2.
Hence, the side of the square is given as:
Area=(side)²
36=(side)²
side=6
Hence, the side of square is 6 cm.
Now, as the area of two rectangles A and B are in the ratio:
2:1
This means that, the area of rectangle A is 24 cm².
and area of rectangle B is 12 cm²
( Since, 36/(2+1)=36/3=12
Area of rectangle A=2×12=24 cm²
Area of rectangle B=1×12=12 cm². )
Hence, the dimensions of A are:
6 cm by 4 cm.
and the dimensions of rectangle B are:
6 cm by 2 cm.
Screen Shot 2020-05-18 at 9.51.50 AM
Screen Shot 2020-05-18 at 9.57.43 AM
Answer:
there is nothing there
Step-by-step explanation:
literally
Answe
Step-by-step explanation:
What is the y intercept of y= -3x
A (-3,0)
B ( -3,-3)
C (0,0)
D (0, -3)
Please answer ASAP
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
Answer:
C.
Step-by-step explanation:
You can either graph this function to find the y-intercept or set x =0 and solve for y.
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
I rolled a standard 6 sided die a total of 20 times and got the results as shown in the table below. Calculate the THEORETICAL probability of rolling a 5. (Round your answer to the nearest hundredths place.)
Die Roll:
1 0
2 1
3 4
4 5
5 9
6 1
Answer:
Step-by-step explanation:45
Answer:
About 0.17
Step-by-step explanation:
Rolling a 5: 1/6
1/6=0.166666...
Therefore, about 0.17
I hope this helped and have a good rest of your day!
what is -13/6 as a repeating decimal
Answer:
-2.16 repeating
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Answer:
18.75
Step-by-step explanation:
75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75
Which point is located on the x-axis? (–5, 1) (0, –5) (1, 0) (2, 2)
Answer:
(1 , 0)
Step-by-step explanation:
On the x-axis, the value of y- coordinate is 0
A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilkbuttermilk. Write the ratio of the amount of flour to the amount of buttermilkbuttermilk as a fraction in simplest form
Answer:
6/0.75, 24/3
Step-by-step explanation:
times 0.75 by 1,2,3 until it is a whole number
times the same number to the top of the fraction
The ratio of flour to buttermilk is 8:1.
What is ratio?The relationship between two groups or amounts that expresses how much bigger one is than the other.
Given that, A recipe includes 6 cups of flour and three fourths 3/4 cup of buttermilk
Flour = 6 cups
Buttermilk = 3/4
Ratio = 6:3/4 = 8:1
Hence, The ratio of flour to buttermilk is 8:1.
For more references on ratio, click;
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What is the perimeter of the quadrilateral
shown below?
Answer:
6x^2+x-1
Step-by-step explanation:
(2x+5)+(4x^2+2x)+(x^2-3x)+(x^2-6)
=4x^2+x^2+x^2+2x+2x-3x+5-6
=6x^2+2x+2x-3x+5-6
=6x^2+x+5-6
=6x^2+x-1
helpppp pls
Members at the Star Theater pay $30.00 per month plus $1.95 for each movie. Nonmembers pay the regular $7.95 admission fee. How many movies would both a member and a nonmember have to see in a month to pay the same amount?
A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.
Answer:
73,139.67
Step-by-step explanation:
Each of the letters in the word MONASTIC are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be "A"?
show work pls and thanks!!
Answer:
1/8
Step-by-step explanation:
There is 8 letters to pick from. There is only one A. SO the probability would be 1/8.
Answer:
The answer is 1/8
Step-by-step explanation:
In the word MONASTIC there are 8 letters, and only 1 is an A which means that the chances of drawing that A is 1/ 8
3(K-2)=15
How do I solve for K
Answer:
7
Step-by-step explanation:
step 1. divide 15 by 3
(K-2)=5
step 2. add the 2 to the 5
K=7
Answer: k = 7
Step-by-step explanation: Start by distributing the 3 through the parentheses on the left side of the equation.
3(k) is 3k and 3(-2) is -6.
So we have 3k - 6 = 15.
Next, isolate the k term by adding 6 to both
sides of the equation and we get 3k = 21.
Now divide both sides by 3 and k = 7.
If you want, you can check your answer by plugging a 7
back into the original equation to see if it works.
