Answer:
We know that the sum of all the interior angles of a triangle is always equal to 180°.
And we know that the angles are in a ratio of:
2:5:5
So if we have an angle (unknown) θ, the angles of this triangle will be written as:
2*θ
5*θ
5*θ
Now remember that the sum of the 3 angles is equal to 180°, this leads to:
2*θ + 5*θ + 5*θ = 180°
Now we can solve this for θ
(2 + 5 + 5)*θ = 180°
12*θ = 180°
θ = 180°/12 = 15°
This means that the angles of this triangle are:
2*θ = 2*15° = 30°
5*θ = 5*15° = 75°
5*θ = 5*15° = 75°
Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.
Then this is an isosceles triangle.
5, 3, 2, 6, 5, 2,5
mean:
median:
mode:
range:
Answer:
mean: 4
median: 5
mode: 5
range: 4
Find all angles, 0°< A<360°, that satisfy the equation below, to the nearest tenth
of a degree (if necessary).
3 tan A+75 = 0
Answer:
143.3 degrees and 323.3 degrees
Step-by-step explanation:
Given the equation
3tanA +√5 = 0
3tanA = -√5
tanA =-√5/3
tanA = (-0.7454)
A = arctan(-0.7453)
A = -36.699
Since tan is negative in 2nd and 4th quadrant
A = 180 - 36.699
A = 143.3 degrees
In the fourth quadrant
A = 360 - 36.699
A = 323.3degrees
Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees
We have a side that is opposite our angle,
and we have the hypotenuse. Which ratio
will we use?
Answer:
Sine
Step-by-step explanation:
Using the acronym SOHCAHTOA, we can see that Sine (S) should be used.
SOH represents Sine, Opposite, Hypotenuse.
Since we are only given the opposite side and hypotenuse, the sine ratio should be used, which is opposite / hypotenuse
So, sine will be used.
4. What expression represents the width of the room?
Answer:
35-4
Step-by-step explanation:
Answer:
Let x = represents the width
m.
Step-by-step explanation:
hope that helps -w-
if triangle def is similar to triangle jkl find kl
Answer:
KL=45
Step-by-step explanation:
What is the m∠ACD, if m∠ABC = 37?
Step-by-step explanation:
angle ABC= angle ACB= 37° --------- because AB=AC
angle ACB+ angle ACD=180°
37+angle ACD=180
angle ACD=143°
Answer:
143 is the answer
Step-by-step explanation:
Suzy is shopping at a book sale.The table show prices for paperback books.
Answer:
6,9
Step-by-step explanation:
Got it right on edg
The ordered pair which is also on the graph is (6, 9).
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
Suzy is shopping at a book sale.
We can see from the table that when books( x) is 2 then the value of y is 3.
Similarly, x = 4 then y = 6
then we can say that the value of y is the addition of half of the value of x in itself.
So, according to the number pattern;
if we take x = 6
Then 6 + 3 = 9
y = 9
Thus, The ordered pair which is also on the graph is (6, 9).
Learn more about a number pattern:
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A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles
Answer:
30 miles
Step-by-step explanation:
Distance = speed x time
30 minutes can be considered as ½ an hour.
60 x ½=30miles
write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/3x-7
Step-by-step explanation:
Isabella is travelling in Brazil during the summer, She knows that a 15-minute phone call home to her family costs $45.85 and a 20-minute phone call costs $58.30 sabella only has $55.81 to spend on her phone call. How long can she talk to her family?
Sharon made $45 in interest by placing $500 in a savings account with simple interest for 1 year. What was the interest rate?
Answer: The interest rate was 9%.
Step-by-step explanation:
If principal amount P is invested at the rate of r percent with simple interest(I) for t years, the formula to find rate :
[tex]R=\dfrac{I\times100}{P\times t}[/tex]
As per given,
P = $ 500, I = $45, t = 1 year
Substitute values in formula , we get
[tex]R=\dfrac{45\times100}{500\times1}\\\\\Rightarrow R=9\%[/tex]
Hence, The interest rate was 9%.
find the size of angle X.
The size of angle x is 115.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
From the figure,
The whole complete angle is 360.
This means,
164 + 81 + x = 360
Solve for x.
164 + 81 + x = 360
245 + x = 360
x = 360 - 245
x = 115
Therefore,
The size of angle x is 115.
Learn more about expressions here:
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Kathryn and karina are neighbours and they are each planning rosebushes and butterfly plants in their yard. They bought their plants from the same store. Catherine spent $111 on four rosebushes and seven butterfly plants. Karina spent $132 on five rosebushes and eat butterfly plants. What is the cost of one rosebush and the cost of one butterfly plant?
A rosebush : $10, butterfly plant $7
B Rose bush: $9 ,butterfly plant $12
C rosebush; 12 , butterfly plant $9
D rose bush : $14, butterfly plant $7
Answer:
d a rosebush 14 butterfly plant 7
Step-by-step explanation:
don't believe me ask some body else okkkkkur
3/8 - 1/4x =1/2 x - 3/4
please help solve for x and show work
Answer:
x=3/2 (or 1.5)
Step-by-step explanation:
Subtract 3/8 from both sides
Simplify
Subtract 1/2x from both sides
Simplify
Multiply both sides by 4
Simplify
Divide both sides by -3
what is the gradient of the following shape
40 people can ride the roller coaster every 15 minutes. How many people can ride the roller coaster every 3 hours?
Answer:
480
Step-by-step explanation:
Answer:
486 people can ride the roller coaster in 3 hours
Step-by-step explanation:
40÷15 = 2.7
2.7 × (60×3)
2.7×180= 486
Which of the following are possible solutions for the inequality ??
A girls typing an essay on her computer she typed 2/5 of a paper of an essay in 1/15 hour all this rate how long in hours would it take her to type a full page
Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.
Answer:
Cost of ten bananas and ten pears is £ 3.90
Step-by-step explanation:
As three bananas and two pears cost 95 p and five bananas and three pears cost £ 1.51 or 151 p ,
subtracting former from latter, we get
two bananas and one pear cost 151 p − 95 p = 56 p
and doubling four bananas and two pear cost 56 p × 2 = 112 p
Hence, one banana costs 112 p − 95 p = 17 p .
and two bananas cost 17 p × 2 = 34 p
and hence one pear costs 56 p − 34 p = 22 p
Hence cost of ten bananas and ten pears is
10 × 17 p + 10 × 22 p = 170 p + 220 p = 390 p = £ 3.90
Hope it helps
Please mark me as the brainliest
Thank you
Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?
Answer: answer is $33.60
Step-by-step explanation:
Apply the Distributive Property to Simplify the Expression
9 (4 1/3)
PLZ HELP WILL GIVE BRAINLY!!!!
find x: 9(2x+1)=81(3x+2)
Answer:
Exact form: x = -17\25
Decimal form: x = -0.68
I need the answer thank you
Answer:
A. 106
B. 25
Step-by-step explanation:
A. 33 times 2 = 66
66 Plus the 40 for the membership
66 + 40 = 106
B. 90 - 40 = 50 (40 from the membership)
50 divided by 2 = 25
6. Alyssa is making a recipe that requires 2 cup of oil and 4 cups of milk. Which of the following combinations shows the same ratio of oil to milk?
Answer:
D. 6 cups of oil to 12 cups of milk.
8x -5 = 4x+7
Need answers ASAP and how to do it pls
8x -5 = 4x+7
8x - 4x = 7 + 5
4x = 12
x = 3
pls give answer with formulas and steps 4/9 ÷ -5/7
9514 1404 393
Answer:
-28/45
Step-by-step explanation:
Step 1, the sign
When the fractions have an odd number of minus signs (1, not 0 or 2), the result will be negative. This knowledge lets you ignore the sign while you do the rest of the arithmetic. The appropriate sign is applied to the final numbers.
Step 2, the formula
The ratio (a/b)÷(c/d) is (ad)/(bc). There are several ways you can get there:
⇒ "invert and multiply" or "swap dot"
[tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\,\cdot\,\dfrac{d}{c}=\dfrac{ad}{bc} \quad\text{division is multiplication by the reciprocal}[/tex]
⇒ "numerators of a common denominator"
[tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ad}{bd}\right)}{\left(\dfrac{bc}{bd}\right)}=\dfrac{ad}{bc}[/tex]
⇒ "swapped denominators of a common numerator"
[tex]\dfrac{\left(\dfrac{a}{b}\right)}{\left(\dfrac{c}{d}\right)}=\dfrac{\left(\dfrac{ac}{bc}\right)}{\left(\dfrac{ac}{ad}\right)}=\dfrac{ad}{bc}[/tex]
The use of common numerators or common denominators is most often seen when the numerator or denominator of one fraction is a multiple of that in the other fraction. Example: (2/3)÷(1/6) = (4/6)÷(1/6) = 4/1 = 4
Step 3, reduce the result
Any of these fractions is reduced by cancelling common factors from numerator and denominator. Your fractions here don't have any common factors, so there is nothing to cancel.
_____
Your product is ...
(4/9) ÷ (-5/7) = -(4·7)/(9·5) = -28/45
The length of a rectangular tabletop is 18 inches more than the width. The perimeter is 244. What is the width of the tabletop?
Answer:
52 in.
Step-by-step explanation:
Let the width = x.
The length is x + 18.
perimeter = 2(L + W)
244 = 2(x + x + 18)
122 = 2x + 18
2x = 104
x = 52
The width is 52 in.
Answer:
length is 70 width 52
Step-by-step explanation:
Directions: Review the table shown here,
Input
1
Output
120
4
450
1
140
4
450
Which statement best explains why the data in the table above does not represent a
function?
A. Each input has only one output.
B. Each output has only one input.
C. One input has more
one output
D. One output has more than one output.
Answer:
rStep-by-step explanation:
d
The diameter D of a sphere is 18.6 cm. Calculate the sphere's surface area A
Use the value 3.14 fors, and round your answer to the nearest tenth.
Answer:
1086.3 cm²
Step-by-step explanation:
surface are of sphere = πD²
SA = (3.14)(18.6 cm)^2
SA = 1086.3 cm²