You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?
222Answer:
Step-by-step explanation:
As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39
Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.
Learn more about rectangles here:
brainly.com/question/15019502
#SPJ2
3. David's salary is based off commission. The commission is 5% of the sales up to and including
$20,000 and 8% of the sales over $20,000 for the month. David sold $37,000 for the month.
What was his salary?
Answer:$2360
Step-by-step explanation:
37000-20000=17000
20000x0.05=1000
17000x0.08=1360
1000+1360=2360
Sample Size Sample average Sample SD
Diagnosed early bird 67 1.23 0.93
Diagnosed night owl 59 2.10 0.99
Analyze the data using a theory-based approach (use the Theory-based Inference applet) to determine whether early birds differ from night owls with respect to average nightmare frequency. The data are not strongly skewed within each group.
Express the null and alternative hypotheses for testing.
a. Null: The population average VDAS score for early birds is less than the population average VDAS score for night owls.
Alt: The population average VDAS score for early birds is greater than the population average VDAS score for night owls.
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
c. Null: The population average VDAS scores are different for the two groups.
Alt: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
d. Null: The population average VDAS score for early birds is greater than the population average VDAS score for night owls.
Alt: The population average VDAS score for early birds is less than the population average VDAS score for night owls.
Answer:
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
Step-by-step explanation:
Given
The above data
Required
Determine the null and alternate hypothesis
When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.
i.e. statements like "equal to", "the same as", etc.
The alternate hypothesis will then contain inequalities or inequality statements
From the list of options, only option (b) is correct.
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).
Answer:
Step 2
Step-by-step explanation:
I'm not that sure but I think that its right
Answer:
B. Step 2
Step-by-step explanation:
ENDG
8. Which of the following is the only one that is formatted correctly?
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2
Answer:
The distance is of 10.8 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
C(-5,4) and D(5,8). So
[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]
The distance is of 10.8 units.
You bought some grapes at a farm stand. You paid $2.48 per pound. The pounds are (3.25). What was the total amount that you paid for the grapes?
Answer:
You paid $8.06
Step-by-step explanation:
3.25 pounds times $2.48 per pound is 8.06.
Can I have brainliest pls :D
Hope this helps
I have 48 candys for 50cents each, how much total will I have after I sell all 48 candies?
Answer:
the answer is 2400 cents
Step-by-step explanation:
if you have 48 candies and each cost 50 cents so u meltiply 48 with 50. so if u mutiply them u get 2400cents, but if u want them in dollar then 1 dollar is 100 cent so if 1 dollar = 100 cent
? = 2400 cent
you criss -cross them so when u do 2400 multiplyed by 1 is 2400 and 100 multiplyed by ? is 100?
so your going to get this
2400 = 100?
so u divide both sides by 100 because u want "?" alone. so when u do 100 will vanish because you divided both sides with 100
so it will look something like this
2400/100 = ?
when u divide 2400 with 100 u get 24.
what does that mean? it mean 2400 cents are 24 dollars
do you get it?
Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?
How many, and what type of solutions do the follow
quadratic equations have?
2x2 – 3x – 7 = 36
Answer:
2 real solutions
Step-by-step explanation:
Determinant of a quadratic equation: [tex]b^2-4ac=(-3)^2-4\times2\times(-7-36)=353.[/tex]
Since the determinant is larger than 0, it has 2 real solutions.
A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups
Answer:
l''kkk 1/2 cups
Step-by-step explanation:
To make 45 muffins the amount of flour required will be 6.25.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.
The amount of flour required will be calculated as:-
2 (1/2) flour ⇒ 18 muffins
2.5 flour ⇒ 18 muffins
2.5 x 2.5 flour ⇒ 2.5 x 18 muffins
6.25 flours ⇒ 45 muffins
Therefore, to make 45 muffins the amount of flour required will be 6.25.
To know more about an expression follow
https://brainly.com/question/23857649
#SPJ5
0.486 Plus what equals 1.04
Answer:
0.554
Step-by-step explanation:
1.04-.486=0.554
Which system of equations has a solution of (-2,0,1)
The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
total cost and interest for a loan
Breanna
Espanol
To purchase $13,900 worth of lab equipment for her business, Amy made a down payment of $1900 and took out a business
loan for the rest. After 3 years of paying monthly payments of $365.07, she finally paid off the loan.
Answer:
The total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.
Step-by-step explanation:
Given that to purchase $ 13,900 worth of lab equipment for her business, Amy made a down payment of $ 1900 and took out a business loan for the rest, and after 3 years of paying monthly payments of $ 365.07, she finally paid off the loan to determine the total cost and interest applied on the loan, the following calculation must be made:
(365.07 x 12 x 3) + 1900 = Total cost
4,380.84 x 3 + 1900 = Total cost
13,142.52 + 1900 = Total cost
15,042.52 = Total cost
13900 = 100
15042.52 = X
15042.52 x 100/13900 = X
1,504,252 / 13,900 = X
108.22 = X
Therefore, the total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.
Please help I’ll mark you as brainliest if correct
Answer:
10.2
Step-by-step explanation:
How do you solve this
use sine law. x = 16.3cm
Step-by-step explanation:
Since triangle angles add up to 180 deg
angle F = 180 -87 -40 = 53
side EF/ sin (angle G) = side EG / sin (angle F )
EF / sin(87) = 13 / sin(53)
EF = 13/sin(53) × sin(87)
EF = 16.3cm
guys I, need help with this please help it is due today
Phil ate 2/3 of a Pizza. Erica eight 4/9 of the same sized pizza. Who ate more pizza? Explain
Answer:
Phil ate more
Step-by-step explanation:
The LCD of both fractions is 9. Thus,
Phil ate 6/9 of a pizza while
Erica only ate 4/9 of the same sized pizza
I need help ASAP?!!!!!!
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 4
add 6 to each side
5x = 10
divide each side by 5
x = 2
coyote, owl rabbit, field mouse, grass
What might cause this dramatic decline in the rabbit population?
A. An increase in the field mouse population.
B. A decrease in the owl population.
C. An increase in the amount of grass available.
D. A decrease in the coyote population.
Answer:
°¶°Here the answer is B °¶°Find x. Assume that segments that appear tangent are tangent.
Answer:
24
Step-by-step explanation:
By tangent secant theorem:
[tex]25(25 + x) = {35}^{2} \\ 625 + 25x = 1,225 \\ 25x = 1225 - 625 \\ 25x = 600 \\ x = \frac{600}{25} \\ x = 24[/tex]
I need help with this question it would be nice if you could help
Answer:
v=433.33
Step-by-step explanation:
Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt?
Answer:
25%
Step-by-step explanation:
Help me :( I will give you Brainlist if you get it right!
Answer:
I think C
Step-by-step explanation:
sorry if I'm wrong
D i answered this one on khan.
the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth
Answer:
The perimeter of a rectangle is 36 cm, its breadth is 8 cm
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 36 cm
length (L) = 10 cm
Now,
Perimeter (P) = 2 × (length + breadth)
P = 2 × (l + b)
36 = 2 × (10 + b)
36 = 20 + 2b
2b = 36 - 20
2b = 16
b = 16 ÷ 2
b = 8 cm
Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm
-TheUnknownScientist
The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.
Answer:-Given:-[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.
[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.
To Find:-Breadth (B) of a rectangle.
Solution:-We know,
P = 2(L + B)
So,
36 = 2(10 + B)
36 = 20 + 2B
36 - 20 = 2B
16 = 2B
B = 16/2 = 8 cm.
Breadth (B) of a rectangle is 8 cm. [Answer]which scatterplot does NOT suggest a linear relationship between x and y. Look AT IMAGE
Answer:
Graph C
Step-by-step explanation:
It is Graph C because the points are majorly curved, while the rest of the lines are linear because they are straight.
Hope this helps! :D
- Luna
Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible combinations of dried fruit to peanuts for her terrific trail mix. The table shows the original recipe’s ratio of dried fruit to peanuts. What numbers are missing in the table?
Question 5 options:
5 and 48
21 and 35
6 and 10
21 and 62
Answer:
5 and 48
Step-by-step explanation:
27:45
Simplify the ratio
3:5
The first one must be 5, and option 1 (5 and 48) is the only one with 5.
draw the image of ABC under a translation by 2 units up
Answer:
Move the corners of the triangle up the axis by two blocks.
A = (-7,-3)
B = (-2,6)
C= (6,-3)
a large chocolate bar has a base area of 49.47 square feet and its length is 0.5 foot shorter than twice its width find the length and the width of the bar
Step-by-step explanation:
Okay try doing one side will be equal to length or one of those..L×W×H
PLEASE HELP 11 POINTS FOR THE CORRECT ANSWER
Answer:
[tex]\sqrt{43}[/tex]
Step-by-step explanation: