Answer:
45°
Step-by-step explanation:
A triangle is a polygon that has three sides and three angles. There are different types of triangles such as equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.
All the three angles in a triangle add up to 180°.
From the question:
x + 2x + 45 = 180° (sum of angles in a triangle)
Adding alike terms:
3x + 45 = 180
Subtract 45 from both sides:
3x + 45 - 45 = 180 - 45
3x = 135
Divide both sides of the equation by 3 to find x:
3x / 3 = 135 / 3
x = 45°
Therefore:
The value of x is 45°
Question Help
A hiker wants to determine the height of a tree. She measures the tree's shadow to be 29.9 meters long. Her own shadow at the same time is 2.6 meters long. If the
hiker is 1.7 meters tall, how tall is the tree?
The height of the tree is approximately meters.
(Type an integer or decimal rounded to the nearest tenth as needed.)
Answer:
19.6
Step-by-step explanation:
If 3/10 = 30/100, then 4/10 = ___/100
Answer:
40/100
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
If 3/10 = 30/100, then 4/10 = 40/100
Add parentheses to make this equation true 7 + 8 - 2 x 3 = 25
Find the value of x.
65°
(x + 12)
X-53
X = 65
x-77
x = 103
Answer:
The answer is -77
Step-by-step explanation:
Hope this helped! Have a great day!
find
the value of :
sin 0° + cos 0° + tan 45°
Answer:
this is easy
Step-by-step explanation:
sin 0 is 0
cos 0 is 1
tan 45 is 1
so ...
0+1+1 is 2
For each statement below enter a T (true) the statement is true and an F (false) otherwise. In this problem you need to get everything correct before receiving credit. Whenever there is a division below, we assume that the divisor is non-zero. We also assume that where it matters the base of any power is positive.
_____For all real numbers a, b, and c a^b a^c = a^be
_____For all real numbers a, b, and c a^b a^c = a^b+c
_____For all real numbers a and b a^-b= a/a^b
_____For all real numbers a and b a^-b = -a^b
_____For all real numbers a and b a^b = ab
Answer:
T
T
T
T
T
T
F
Step-by-step explanation:
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
Records kept for a period of 30 weeks by a
dietician at a cafeteria show the following
weekly consumption of milk ( in gallons).
200
205
210
215
220
225
230
235
240
Milkin
gallons
Probability
3/30
4/30
6/30
5/30
4/30
3/30
2/30
2/30
1/30
Find the average number of gallons of milk
consumed per week.
Answer:
216
Step-by-step explanation:
LCD = 30
200(3/30) = 600/30
^ do this process for each number
Answer: 216
Step-by-step explanation:
The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14
answer:
14 is two times greater than 7.
so,
10 is two times greater than 2x - 19
10 = 2(2x - 19)
10 = 4x - 38
48 = 4x
x = 12
-- please mark the brainliest and click the thanks button if correct :)
Find the unit rate and determine which rate is greater: 500 miles in 10 hours or 125 miles in 2 hours.
Answer:
30 miles in 2.5 hours= 12 mph
Step-by-step explanation:
This is a fraction equal to
30 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
30 miles ÷ 2.5
2.5 hours ÷ 2.5
=
12 miles
1 hour
=
12 miles
hour
= 12 miles per hour
John has 4.5 x 10^6 dollars in his bank account. Jacob has 1.3 x 10^7 dollars in his bank account. who has more money and by how much
Answer:
Jacob has more. $8,500,000 more.
Step-by-step explanation:
4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000
brainlist if you help me fill out table
Answer:
2.0 and 4.8
Step-by-step explanation:
each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)
A triangle has an area of 29.7cm^2 and a base of 13.5cm. Use the formula A=1/2 bh to find the height.
Answer:
4.3362962963
Step-by-step explanation:
A=1/2bh
29.7cm^2=1/2 13.5h
You're gonna multiply each side by 2 to cancel out the fraction equaling,
58.54= 13.5h
You're then gonna divide w=each side by 13.5 to get h left alone on one side and a number on the other equaling your answer. 4.3362962963. Round to whatever decimal place you need.
Please help 15 points
Answer:
12 %
Step-by-step explanation:
3/25 = 0.12
0.12 x 100 = 12
Answer:
12%
Step-by-step explanation:
3/25=0.12
0.12 turnes into 12%
Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answer:Edward
Step-by-step explanation:
Noah stood 55 2/3 inches tall on his tenth birthday. If he stood 58 1/2 inches on his 11th birthday, how much taller has Noah grown in the past year?
Answer:
2 5/6 inches
Step-by-step explanation:
58 1/2 to 58 3/6
55 2/3 to 55 3/6
add 6/6 to 3/6 and change 58 to 57
subtract
=2 5/6
The growth of Noah in the past year is 2 5/6 inches.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Noah stood 55 2/3 inches tall on his tenth birthday and he stood
58 1/2 inches on his 11th birthday.
Therefore, The growth of Noah is the difference between the heights on his tenth birthday and eleventh birthday which is,
= (58 1/2 - 55 2/3) inches.
= (117/2 - 167/3).
= (117×3 - 167×2)/6 inches.
= (351 - 334)/6 inches.
= 17/6 inches.
= 2 5/6 inches.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
solve similar triangles (advanced) solve for x
Step-by-step explanation:
this is the answer of given question
Solve the equation 2x +45 = 9. Explain the steps
and properties you used.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2x+45=9 Equation/Question
Step 2
2x+45=9 Simplify
Step 3
2x+45=9 Subtract 45 from sides
2x=-36
Step 4
2x=-36 Divide sides by 2
-18
Answer
x=-18
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
2x +45 = 9 Simplify
Step 2
2x +45 = 9 you gotta subtract 45 from each sides
2x=-36
Step 3
2x=-36 Divide the sides by 2
Answer
x=-18
hope this helps
HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE
Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
3 over x plus 6 over y
Answer:
[tex]\frac{3}{x}+\frac{6}{y}[/tex]
There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?
Answer:
0.8 liters
Step-by-step explanation:
1l=1000 mlml=1000 ml-200ml=800ml=0.8L
Answer:
shouldn't it be 800 mL
Step-by-step explanation:
cause there are 1000mL in 1 liter
A beachfront hotel is planning for its summer busy season. It wishes to estimate with 95% confidence the average number of nights each guest will stay in a single visit. Using a sample of guests who stayed last year, the average number of nights per guest is calculated at 5 nights. The standard deviation of the sample is 1.5 nights. The size of the sample used is 120 guests and the beachfront hotel desires a precision of plus or minus 0.5 nights.
Required:
a. What is the standard error of the mean in the lakefront resort example?
b. Within what range below can the resort expect with 95% confidence for the true population mean to fall?
Answer:
0.1369
(4.732, 5.268)
Step-by-step explanation:
Given that:
Mean, m = 5
Standard deviation, s = 1.5
Error margin, E = 0.5
Sample size, n = 120
Zcritical at 95% = 1.96
Standard Error of the mean (S. E) :
S. E = s /sqrt(n)
S. E = 1.5 / sqrt(120
S.E = 1.5 / 10.954451
S. E = 0.1369306
S. E = 0.1369
Confidence interval (C. I)
Mean ± (Zcritical * S.E)
5 ± (1.96 * 0.1369)
Lower boundary = 5 - 0.268324 = 4.731676
Upper boundary = 5 + 0.268324 = 5.268324
(4.732, 5.268)
Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?
Answer:
y = -2*x² + 60*x
Step-by-step explanation:
The general form of a quadratic function is:
y = a*x² + b*x + c
We need to determine a ; b ; and c. For that we have three conditions therefore
Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets
12* 36 = 432 $ or y = 432 and
432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c
Second condition selling at 13 $ each T-shirt she sells 34 , then
13*34 = 442
442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c
And the third condition
11*38 = 418
418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c
We have a three equation system
432 = 144*a + 12*b + c (1)
442 = 169*a + 13*b + c (2)
418 = 121*a + 11*b + c (3)
We need to solve it for a, b and c
Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)
24 = 48*a + 2*b
Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )
24 = 48*a + 20 - 50*a
24 - 20 = -2*a
4 = - 2*a
a = - 2 and b = 10 - 25*( -2) b = 60
Finally c is: 432 = 144*a + 12*b + c
432 = 144* ( -2) + 12*60 + c
432 = - 288 + 720 + c
432 = 432 + c
c = 0
The quadratic function is:
y = -2*x² + 60*x
Laura is saving money to buy a game. The game cost $36, and so far she has saved three- fourths of this cost. How much money has Laura saved
Answer:
27
Step-by-step explanation:
3/4*36=27
therefore the answer is
27
Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Drag and drop an answer choice into each empty box below.
0 5 10
+
Drag and drop items from the box above to accurately complete the
statement below.
Identify the value of aj and complete the recursive rule for Mr. Gary's
sequence.
ai =
an = an-1
Answer:
this could be wrong but for this question i put 10 as the first blank and for the second blank i put - and then for the third i put 5
Step-by-step explanation:
Im not sure on this. I have the same fsq and we haven't learned this yet but this is what I put because the sequence is subtracting 5
Answer:
Step-by-step explanation:
the answers is 75,000,000
I need help with this geometry question
I try to find it but I could PLEASE help I’ll say the answer when I’m done
Answer: false
Step-by-step explanation:
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.
B) An order of 8 units has a minimum cost per unit.
C) An order of 80 units has a minimum cost per unit.
D) An order of 320 units has a minimum cost per unit.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
What is the coordinate where x=-1 ?
What is the coordinate where x=2?
What is the rate of change between those two points?
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the coordinates above:
[tex]slope = \frac{-2-1}{2-(-1)}[/tex]
Simplify:
[tex]slope = \frac{-3}{3} = -1[/tex]
Thus, the rate of change between the points is -1.