Answer:
Step-by-step explanation:
Answer:15
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
help me solve for x ?
Answer:
x = 12
Step-by-step explanation:
[tex](4x - 5) \degree +(3x + 11) \degree = 90\degree \\(complementary \: \angle s) \\ \\ (4x - 5 + 3x + 11)\degree = 90\degree \\ \\ (7x + 6)\degree = 90\degree \\ \\ 7x + 6 = 90 \\ \\ 7x = 90 - 6 \\ 7x = 84 \\ \\ x = \frac{84}{7} \\ \\ x = 12[/tex]
Ahmed owns a land of breadth (x+7) units &having an area of 2+ 14x + 49 sq. Units. (i)Find its length.
Answer:
l = (x+7) units
Step-by-step explanation:
Given that,
Breadth of the rectangle, b = (x+7) units
Area of the rectangle, [tex]A=x^2+14x+49[/tex]
The area of a rectangle is given by :
[tex]A=lb\\\\l=\dfrac{A}{b}\\\\l=\dfrac{(x^2+14x+49)}{(x+7)}\\\\l=\dfrac{(x+7)^2}{(x+7)}\\\\l=(x+7)\ \text{units}[/tex]
So, the length of the land is (x+7) units.
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:
H+ ions increase in concentration at lower pH values. Calculate how many more H+ ions there are in a solution at a pH = 2 than in a solution at a pH = 6. Find the concentration of H+ ions at a pH = 2 and at a pH = 6 in Table B. Then divide the concentration of H+ ions at a
pH = 2 by the of H+ ions at a pH = 6. Record your answer in Table C.
What is the concentration of H+ ions at a pH = 2?
mol/L
What is the concentration of H+ ions at a pH = 6?
mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
Answer:
What is the concentration of H+ ions at a pH = 2?
⇒ 0.01 mol/L
What is the concentration of H+ ions at a pH = 6?
⇒ 0.000001 mol/L
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
⇒ 10,000
Step-by-step explanation:
Answer:
What is the concentration of H+ ions at a pH = 2?
0.01
What is the concentration of H+ ions at a pH = 6?
0.000001
How many more H+ ions are there in a solution at a
pH = 2 than in a solution at a pH = 6?
10,000
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 :)❤
the ratio of two number is 7 to 3 and their sum is 50 find the two number
Answer:
35:15
Step-by-step explanation:
7:3=10 (7+3)
14:6=20 (14+6)
21:9=30 (21+9)
28:12=40 (28+12)
35:15=50 (35+15)
There is a more mathematical way to solve this but it isn't coming to mind rn so
PLEASE HELP MATHS
What is the domain of the function y= 3 In x graphed below
Answer:
This question makes no sense
Step-by-step explanation:
The domain is all real x btw
A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places 50 participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand. To select the groups, the researcher labels each participant with a number and selects slips of paper labeled 1–50 from a bowl at random. The first 25 participants whose numbers are selected will be the treatment group, while the other 25 will be the control group.
The characteristics of the two groups
A should be roughly equivalent because both groups will have 25 participants.
B should be roughly equivalent because the participants were labeled and then randomly selected for the groups.
C might not be roughly equivalent because one group may contain people that drink more juice than the other group.
D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.
Answer:
D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.Step-by-step explanation:
I hope it helps :)
Answer:
B. should be roughly equivalent because the participants were labeled and then randomly selected for the groups
Step-by-step explanation:
Just passed the quiz
Plzzz helppp!!
Which equation is equivalent to 3/5 = 17 2/5 divided by h
The correct expression will be ( 3 + 9) = ( 87 ÷ h ) + 9. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3 / 5 = 17²/₅ ÷ h. The expression will be solved as below,
3 / 5 = 17²/₅ ÷ h
3/5 = 87 / 5 ÷ h
h = 87 / 3
h = 29
Check option C for the value of h = 29.
3 + 9 = ( 87 / h ) = 9
3 = 87 / h
h = 87 / 3 = 29
Hence. the correct option is C.
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Work out ( 6x10^2) divide by (3x10^-5)
Give your answer in standard form.
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:
$315
Step-by-step explanation:
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
Please help me with the question please ASAP ASAP I’m begging please
Answer: a= 144. b= 67
Step-by-step explanation:
Angle b and the angle of measure 113 are same side interior angles which sum to 180 (When 2 parallel lines are cut by a transversal, special angles are formed)
113+b=180. Subtract 113 from both sides.
b= 67 degrees
Now that you have b, the interior angles of four sided figures sum to 360.
a+113+67+36=360. Combine like terms.
a+216=360. Subtract 216 from both sides.
a= 144 degrees
skracanie ułamków
224/100 =
308/100 =
125/1000=
444\1000 =
Answer:
224/100 = 2 24/100
= 2 6/25
308/100 = 3 8/100
= 3 2/25
125/1000 = ⅛
444/1000 = 111/250
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
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
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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
what is the function rule
Answer:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.
Step-by-step explanation:
Answer: The Function Rule is Y= 5x-3
Hopes that helps
SOMEONE PLZ HELP MEEE
Answer:
it would be more of the second answer
Step-by-step explanation:
Which glide reflection describes the mapping ABC→DEF?
A) (x, y) → (X, Y - 6) and reflected across x = 0
B) (x, y) → (X, Y - 6) and reflected across y = 0 C) (x, y) → (X, Y - 6) and reflected across x= -1 D) (x,y) → (X - 2, Y) and reflected across x= -1
Answer:
Step-by-step explanation:
The answer is (A).
y-axis is x = 0
A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.
Answer:
8x units
Step-by-step explanation:
A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.
The Area of a Rectangle is calculated with the formula
Length × Width ( Height)
Area = 56x²y square units
Height = 7xy units
Length =Area of the rectangle/Height of the rectangle
= 56x²y square units/7xy units
= 8x units
PLEASE HELP WILL MARK BRAINLIEST
Answer: D 12
Step-by-step explanation:
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
la velocidad máxima a la que se puede circular en una carretera es el 40 Mi/h ¿cual sería el límite de velocidad en km/h ?
Answer:
El limite de velocidad es [tex]64.37\frac{km}{h}[/tex]
Step-by-step explanation:
Para determinar el limite de velocidad en unidades de km/h es necesario hacer una conversión, esto se puede lograr al aplicar una sencilla regla de tres:
[tex]40\frac{Mi}{h} . \frac{1.6093km}{1Mi}[/tex] ⇒ [tex]64.37\frac{Mi.km}{h.Mi}[/tex] ⇒ [tex]64.37\frac{km}{h}[/tex]
Nota que para poder hacer la conversión es necesario saber a cuanto equivale 1 milla en kilometros (1Mi = 1.6093 km).
Por lo tanto, el limite de velocidad es de [tex]64.37\frac{km}{h}[/tex]
Bethany bought a box of markers. She gave 6 to her friend. If Bethany now has 52 markers, how many markers were in the box she bought?
Answer:
58 markers
Step-by-step explanation:
52 + 6 = 58
Answer:
58 markers
Step-by-step explanation:
x-6=52 Set up the problem. "x" represents the number of markers.
+6 +6 Add 6 to both sides to isolate x
x =58
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
251.33
Step-by-step explanation:
Answer:
251.2 cm square
Step-by-step explanation:
Diameter = 8 cm
Height = 5 cm
8 / 2 = 4
Radius = 4 cm
r^2 * Pi
4 * 4 = 16
16 * Pi = 50.2654824574
16 x 3.14 = 50.24
Base x Height
50.2654824574 x 5 = 251.327412287
50.24 x 5 = 251.2 cm square
The coordinates of the vertices of a triangle are A( 2,3) , B ( 9,1) , C ( 12,14) Suppose each coordinate is multiplied by 3. What is the perimeter of this triangle?
9514 1404 393
Answer:
about 106.5 units
Step-by-step explanation:
The length of each side is found using the distance formula:
d = √((x2-x1)^2 +(y2-y1)^2)
For example, the length of side AB is ...
d = √((9 -2)^2 +(1 -3)^2) = √(7^2 +(-2)^2) = √53 ≈ 7.28
The other side lengths are calculated the same way. The sum of side lengths of the given triangle is ...
AB +BC +CA = 7.28 +13.34 +14.87 = 35.49
__
Multiplying each coordinate by 3 effectively dilates the triangle by a factor of 3 about the origin. That increases the perimeter by a factor of 3, so it is ...
3(35.49) ≈ 106.5 . . . . units
_____
I find it convenient to use a calculator or spreadsheet to do the tedious calculations.
someone help :))))!!
Help! Will mark brainliest
Answer:
x < −4
Step-by-step explanation:
hope this helps u with ur question lol
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
What is a fraction for 6:100
Answer:
it's 3/50
Step-by-step explanation:
Answer:
3/50
Step-by-step explanation:
the fraction 6/100 can simplify to 3/50