Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
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.
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:
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
ater it
i) A number consists of two digits. If the number formed by reversing its digits
is added to it, the sum is 143 and if the same number is subtracted from it the
remainder is 9. Find the number.
Ts hend
A numhor consists of turn dinits whose sum is 9 If three times the number is equal
Answer:
76
Step-by-step explanation:
Not sure what you mean by the second half, but I'll answer the first question. Since the number is two digits, you can represent it as 10x + y. If you reverse the digits, it becomes 10y + x. So, 11x + 11y = 143, and 9x - 9y = 9. Solving for x and y, you find x = 7 and y = 6.
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:
The material needed to make the skin of a basketball costs $71.62 / m2. A standard basketball has a diameter of 24 cm. To the nearest dollar, how much does a basketball cost to make?
Answer: $1296
Step-by-step explanation:
Surface area of s sphere = 4πx r^2
Diameter = 1/2 radius
Surface area = 4π x 12^2
= 1809.56 cm^2 = 18.096 m^2
Material required = 71.62 x 18.096
= $1296
Answer:
$13
Step-by-step explanation:
First step is to convert cm to metres (24cm/100=0.24m)
therefore diameter is now 0.24
SA= 4π^r2 r=d/2=0.24m/2= 0.12m
SA= 4π^(0.12)^2= 0.1809...m^2
So since the surface area of this basketball is 0.1809..m^2, we then must calculate how much it will cost for the material to cover for one basketball. (this is why converting is important because you can end up with the wrong price/answer)
$71.62/1m^2 =0.1809..m^2 =$12.96
They want it in nearest DOLLAR so final answer is $13 to make one basketball
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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
The ordered pair (a,b) satisfies the inequality y>x+3. Which statement is true ?
Answer:The correct option is(C). b is greater than 3.
Step-by-step explanation:
Given that the ordered pair (a, b) satisfied the following inequality :
We are to select the TRUE statement from the given options.
Since the ordered pair (a, b) satisfies inequality (i), so we have
Therefore, b is greater than 3.
Thus, the correct option is (C). b is greater than 3.
Answer:
b is greater than a
Step-by-step explanation:
What expression is equivalent to rm÷rn?
A) rm-n
B) rm+n
C)m×n
D)rm÷n
Answer:
A) rm - n is the answer.
hope this helps
Answer:
D
Step-by-step explanation:
rm/rn can be factored into r(m/n) which is what is seen in answer D
When the VAT rate is 15%, a customer pays Rs.1610 to buy an electric fan. Find the cost of fan without VAT.
Answer:
here,sp without vat is considered as cp of fan without vat.
Answer:
Step-by-step explanation:
cost without VAT=100/115 ×1610=1400 Rs.
the value of 6.8x10^2x1.3x10^-3 In standard form
Answer:
0.884
Step-by-step explanation:
When you multiply exponents together, you add the powers values together.
Step 1: Multiply base numbers
6.8(1.3) = 8.84
Step 2: Multiply (add) exponentials
[tex]10^2(10^{-3}) = 10^{-1}[/tex]
Step 3: Combine into scientific notation
[tex]8.84(10^{-1})[/tex]
Step 4: Evaluate into standard form
0.884
Answer:
0.884
Hope this helps :)
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:
The $200 dryer was on sale for $180. What was the percent of discount?
Answer:
10%
Step-by-step explanation:
Case/Solve 1:
OG price is $200
Reduced price is $180
$20 difference
20/200 = 1/10 => convert 1/10 to a decimal
10%
Case/Solve 2:
180/200 = 0.9
0.9 converted to a decimal is 90%
100% - 90% = 10% =>
10%
Hope This Helps!
Answer:
10% discount
Step-by-step explanation:
Take the original price and subtract the new price
200-180 = 20
Divide by the original price
20/200 = .1
Change to percent form
10%
If The legs of a right triangle measure 5 cm and 12 cm what is the length of the hypotenuse
Answer:
13 cm
Step-by-step explanation:
By Pythagorean theorem:
[tex]hypotenuse = \sqrt{ {12}^{2} + {5}^{2} } \\ = \sqrt{144 + 25} \\ = \sqrt{169} \\ = 13 \: cm[/tex]
Answer:13
Step-by-step explanation:
If c(x) = 5/(x - 2) d(x) = x + 3 , what is the domain of (co)(x) ?
Answer:
Domain of (cd)(x) is all real numbers values except 2.
The value of (f/g)(5) is 270
Step-by-step explanation:
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
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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Which choice below is NOT a possible feature of a conjecture?
It's a falsehood
It's a question
It's a declarative statement
It's the truth.
Answer:
The correct option is;
It's a falsehood
Step-by-step explanation:
A conjecture is a form of declarative statement or proposal that is guessed as being correct or the truth based on the available evidence that contributes to the correctness of the statement but is yet have a disproof or proof
Therefore, a conjecture can be correctly the truth, a declarative statement based on observation or a question but not a falsehood because then it will not be based on any logical supporting evidence.
Answer:
The correct answer is B. It's a question.
Step-by-step explanation:
A conjecture is a declarative statement that can be shown to be true or false.
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)
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.
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:
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
Which of the following are correct steps in finding the centroid of triangle CDE? Check all that apply. Construct an altitude through C. Construct a median through E. Construct a perpendicular bisector to side DE. Construct a line perpendicular to side CE through D. Bisect side CD.
Answer:
B C E
Step-by-step explanation:
The correct steps are,
Construct a median through E.
Construct a perpendicular bisector to side DE.
Bisect side CD.
What is centroid of a triangle?The centroid of a triangle is the intersection of the three medians.
Now, We know that, A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex.
Here, we have to the centroid of triangle CDE.
Hence, the correct steps are following:
Construct a median through E.
Construct a perpendicular bisector to side DE.
Bisect side CD.
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A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?
Answer:
1/4h
Step-by-step explanation:
The car trip is 1/2h shorter than the bus trip.
The bus trip is 3/4h long.
Therefore, the length of the car trip is:
3/4h - 1/2h = 1/4h
The car trip is 1/4h long.
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The diagram shows a right-angled triangle
15 cm
hcm
31
What is the value of h?
Give your answer correct to 1 decimal place.
Answer:
27.1 cmStep-by-step explanation:
Find the diagram in the attached file below
Given the right angled triangle with height h, to get the value of h, we will use the Pythagoras theorem. The longest side of the triangle will be the hypotenuse while the other two sides are the opposite and adjacent respectively.
According to the theorem;
[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]
let the unknown side h be the opposite side.
hypotenuse = 31cm and adjacent = 15cm
[tex]31^{2} = h^{2} + 15^{2}\\h^{2} = 31^{2} - 15^{2} \\h^{2} = 736\\h = \sqrt{736} \\h = 27.1 cm[/tex]
The value of h is 27.1 cm to 1 decimal place
The hypotenuse of a 45°-45°-90° triangle measures 18 cm. A right triangle is shown. The other 2 angle measures are 45 degrees. The length of the hypotenuse is 18 centimeters. What is the length of one leg of the triangle? 9 cm 9 StartRoot 2 EndRoot cm 18 cm
Answer:
[tex]9 \sqrt{2}\ cm[/tex]
Step-by-step explanation:
Given
Hypotenus = 18cm
Required
Find the length of the other two sides
From the question, we understand that the other two sides are equal; let's represent them with x.
Pythagoras theorrem states that:
[tex]Hypotenuse^2 = x^2 + x^2[/tex]
Substitute 18 for Hypotenuse
[tex]18^2 = x^2 + x^2[/tex]
[tex]18^2 = 2x^2[/tex]
[tex]18 * 18 = 2x^2[/tex]
[tex]324 = 2x^2[/tex]
Divide both sides by 2
[tex]\frac{324}{2} = \frac{2x^2}{2}[/tex]
[tex]162 = x^2[/tex]
Take root of both sides
[tex]\sqrt{162} = \sqrt{x^2}[/tex]
[tex]\sqrt{162} = x[/tex]
[tex]x = \sqrt{162}[/tex]
[tex]x = \sqrt{81 * 2}[/tex]
Split the above
[tex]x = \sqrt{81} *\sqrt{2}[/tex]
[tex]x = 9 *\sqrt{2}[/tex]
[tex]x = 9 \sqrt{2}[/tex]
Hence, the length of one leg is [tex]9 \sqrt{2}\ cm[/tex]
Answer: D "9 StartRoot 2 EndRoot cm"
Step-by-step explanation:
Edge 2021/2022, Took the test & currently taking is as this is written. Also the base is 18 and the sides usually add up to the base.
Elle, Jonah and Mandy shared some game cards in the ratio 2:3:7. Each of
them would have received 152 game cards each if the game cards were
distributed equally. How many more game cards did Mandy receive than Elle? Please do a step by step explanation.
Answer:
190 cards
Step-by-step explanation:
Elle, Jonah and Mandy shared the game cards in the ratio 2 : 3 : 7. The total ratio is:
2 + 3 + 7 = 12
If they were shared equally, they would each receive 152 cards, this means that the total number of cards they received is:
152 * 3 = 456 cards
Elle's share is therefore:
2 / 12 * 456 = 76 cards
Mandy's share is:
7 / 12 * 456 = 266 cards
Therefore, the number of cards that Many received more than Elle is:
266 - 76 = 190 cards
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9 ) with equation
x = - 6 → B
Answer:
B
Step-by-step explanation:
i just looked at the question and knew, its pretty easy
help me pleaseeeeeeeeeeeeeeeeeeeeeee :( ill give brainly :D
Answer:
Loose sweets are of better value
Step-by-step explanation:
Packed
120 g = £1.49
price per gram = £1.49/120= £0.0124
Loose
100 g = £0.89
price per gram= 0.89/100= £0.0089
Comparing prices per gram, we can see loose sweets cost less (0.0089<0.0124), so is better value