Answer: 30 inches
Step-by-step explanation:
The sides of the square are equal and so if the area is 25 inch², each side can be acquired by square rooting that figure:
= √25
= 5 inch per side for the square
Each side of the triangle is twice as long as a side of the square:
= 5 * 2
= 10 inches
There are three sides to a triangle so the perimeter is:
= 10 * 3
= 30 inches
What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
1 poin
A catering assistant mixes 4 parts of cordial to 12 parts of water. Express
this as a ratio in its simplest form.*
1:1/3
O 1:2
O 1:3
O 14
n/4 -14=10
what is n?
Answer:
n=96
Step-by-step explanation:
Answer:
n = 96
Step-by-step explanation:
[tex]\frac{n}{4}-14=10\\\frac{n}{4} = 24\\n = 96[/tex]
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
Help me solve this question please
Answer:
ii
Step-by-step explanation:
A singer earns $4 million in 2015. During the next 10 years, the earnings increase 7% each year. A. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal. An exponential growth model is y= b. In which year will the player's earnings first exceed $7,000,000?
Answer:
ninth year
Step-by-step explanation:
Given the general form of an exponential equation;
P = a(1 +r)^t
We can now write in this particular case;
y = 4 * 10^6(1 + 0.07)^t
The year in which y reaches 7 * 10^6 dollars is
7 * 10^6 = 4 * 10^6 (1 + 0.07)^t
7 * 10^6/4 * 10^6 = (1 + 0.07)^t
1.75 = (1 + 0.07)^t
ln(1.75)= ln(1 + 0.07)^t
ln(1.75) = t ln(1 + 0.07)
0.5596 = 0.06766t
t = 0.5596/0.06766
t = 8 years
So, in the ninth year;
y = 4 * 10^6 (1 + 0.07)^t
y = 4 * 10^6 (1 + 0.07)^9
y = 7.35 * 10^6
Hence, the player's earnings first exceed $7,000,000 in the ninth year.
Which of the following best describes the solution to the system of equations below? -8x + 3y = -6 9x - 3y = 6 A. The system of equations has exactly one solution where x = 8 and y = 2. B. The system of equations has no solution. C. The system of equations has infinitely many solutions. D. The system of equations has exactly one solution where x = 0 and y = -2.
Answer:
C. no solution
Step-by-step explanation:
MacKenzie invested $6,500 in an account that earns 4.3% simple interest rate. What is the balance in her account after 5 years?
Answer:
so you wold do I=t×r×A ok so I=6,500 t=5 r=4.3 and u have to find A so you wolf multiple 5×4.3=21.5 and than you wold divide 6500÷21.5=302.3255813953488×21.5= 6500 so A=302.3255813953488
HELP AND PLS EXPLAIN AND ILL MARK BRAINLIEST PLSS I'M CONFUSED AND NEED HELP FAST
Answer:
Okay so what you do is multiply 6*9*4.5 together and that'll give you 243 as the volume of the prism. I'm not sure what it is in decimal. I'm guessing 24.3
I'm so sorry if this is incorrect.
Have a great day! <3
Answer:
121.5 ft^2
Step-by-step explanation:
To find Volume of Triangular prism, find the area of the triangular shape first.
Step 1: 6 x 4.5 = 27(square)
Step 2: 27 x .5 = 13.5(triangle)
13.5 x 9(the width) = 121.5
Because volume is length x width x height.
The height and length is 6 x 4.5 in this problem.
Note : I did "x.5 " because I needed to divide 27 by two to get a triangle. Since a triangle is half a square. Dividing by 2 and multiplying by .5 are the same thing.
Example: 20 x .5 =10 or 20/2 =10
Can someone explain this
Answer:
ummm if yu foil yu get
(4x+2)(x+1)
Step-by-step explanation:
ion kno if das rii
10=k5 what does k equal
Answer:
k = 2
Step-by-step explanation:
10 = 2(5)
10 = 10
Answer: k=2
Step-by-step explanation:
10=(2)5
10=2x5
10=10
plzzzz help me due soon!!!
Answer:
c
Step-by-step explanation:
i hope this helps
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
helpppppppppppppppppppp WILL MARK BRAINLIST
Answer:
(2, 5)
Step-by-step explanation:
Graphing calculator makes it easy :)
A school counselor surveyed 90 randomly selected students about the languages they speak. Of the students surveyed, 15 speak more than one language fluently. Based on these results, how many of the 1,800 students at the school can be expected to speak more than one language fluently? A.288 B.300 C.113 D.389
Answer:
b
Step-by-step explanation:
Because the population is too large and it would be impractical to survey the whole population, a sample of the population is chosen to take part in the survey. This sample is taken as been representative of the whole population
Based on the sample, the fraction of students that speak more than one language fluently = 15/90= 0.166667
Population that would speak more than one language fluently = 0.166667 x 1800 = 300
On Wednesday morning, Smith's had 99
boxes of Sweet Smacks on the shelf. 4
out of every 11 boxes contained a prize.
How many boxes did NOT contain a
prize?
Answer:
4
Step-by-step explanation
Im sure its four. If not let me know
30 points, real good help please.
- Create your own set of coordinates for and graph it on a coordinate plane.
- Write a scenario involving the dilation of ABC onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image.
- Use the distance formula or Pythagorean Theorem to prove mathematically that is similar to its image. Include all necessary calculations.
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABC We want to dilate triangle ABC by scale factor of 2 at the center (0,2)The image is shown below as triangle A'B'C' with coordinates (8.6), (8,18), and (18,6). Triangle ABC has a base of 4 units and a height of 6 units
Triangle A'B'C' has a base of 8 units and a height of 12 unitsApplying Pythagoras theorem to triangle ABC to find the hypotenuse
Now, we calculate the hypotenuse of the image
The hypotenuse of the image is twice the hypotenuse of triangle ABC which proof the two shapes are similar shape
Help me please and thank you
the answer is
360 hoped that helped
Answer:
240
Step-by-step explanation:
600 x .6 = 360
600 - 360 = 240
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answer:
$315
Step-by-step explanation:
Please help with these 3! Don’t need the steps, just the answer
What is an equivalent expression of -1/2(-2x+4y
Answer:
x−2y
Step-by-step explanation:
you meant to put a parenthesis at the end right?
Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students.
Answer:
I don't know
Step-by-step explanation:
but what I do know is to not increase your days is bad
Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
10
2. The equation 2x - 5y = 20, the table below, and the graph
below represent three different linear functions.
X
у
3
1
-2
4
-1
7
0
10
21
2
13.
16
3
19
1
which function represents the line with the greatest slope?
Explain your reasoning
3. Winto an equation in standard form for the line that is
represented by the data in the table
x
-1
2
3
7
5
3
1
4. Write an equation in standard form for the line with a stope
of that passes through the point (2)
5. Doomine the concept y barcopt, and slope of the line
described by 3x7 -21
Answer: You have to be packiing
Step-by-step explanation: 17 inches
Can plss someone help me pls I need help
Answer:
[tex]x = { \tan(4.6) }^{ - 1} \\ x = (77.73522627211)[/tex]
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
i need help asap! pls
The answer is b) because one of the line passes through this point
A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Answer:
1 teaspoon
Step-by-step explanation:
If the simple interest on $1000 for 9 years is $630, then what is the interest rate?
Answer:
0.07 or 7%
Step-by-step explanation:
I = Prt
630 = (1000)(9)r
630 = 9000r
r = 0.07
Step-by-step explanation:
Simple interest (SI) = $ 630
Time (T) = 9 years
Principal (P) = $ 1000
Rate (R) = ?
We know
[tex]si = \frac{ptr}{100} \\630 = \frac{1000 \times 9 \times r}{100} \\ 630 = 90r \\ r \: = \frac{630}{90} \\ = 7\%[/tex]
Therefore the rate of interest is 7%.
Hope it will help :)❤
Is this true for false?
Answer:
i believe true
Step-by-step explanation:
sorry if wrong
The surface area of a cone is about 64 square meters. The radius of base is 2 meters. What is the slant height?
Answer:
Step-by-step explanation:
L is the slant height
area of base = 4π m²
lateral area = surface area - base area = 64-4π
πrL = 64-4π
L = (64-4π)/(2π) = 8.2 m