Answer:
x = 55° and y = 25°
Step-by-step explanation:
Since we have two triangular patios with angles (x + 5)°, (y + 15)°, and 80° and the second patio has angles, (x + 25)°, 40°, and 60° respectively, and the sum of angles in a triangle is 180, we have that,
(x + 5)° + (y + 15)° + 80° = 180° and
(x + 25)° + 40° + 60° = 180°
Simplifying both expressions, we have
x + 5° + y + 15° + 80° = 180° and
x + 25° + 40° + 60° = 180°
collecting like terms, we have
x + y + 5° + 15° + 80° = 180° and
x + 25° + 40° + 60° = 180°
Adding the like terms, we have
x + y + 100° = 180° and
x + 125° = 180°
So,
x + y = 180° - 100° and
x = 180° - 125°
Thus,
x + y = 80° and
x = 55°
So, y = 80° - x = 80° - 55° = 25°
So, x = 55° and y = 25°
The expression 6 x 10^7 could represent an estimate of which number?
Plz HELP!!
Which sequences are arithmetic? Check all that apply.
0,8,16,24,...
07, 12, 17,22,....
6,12,24, 48...
8, 14, 20, 26,...
11,18,23,30,...
12,17,22, 29,
15, 30, 60, 120,...
Answer:
1st, 2nd, and 4th
Step-by-step explanation:
FIND THE SURFACE AREA. I WILL MARK YOU A BRAINLEST IF THE ANSWER IS RIGHT
Answer:
SA= 222cm ^2
Step-by-step explanation:
Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Roberto bought snacks to take to his soccer ball practice. He bought a bag of oranges that were $5.65 and a 12 pack of water bottles. The total cost was $12.13 before tax was added. Which equation could be used to find the cost of each water bottle,b?
A. 12(b+5.65)=12.13
B. 5.65(12+b)=12.13
C. 5.65b+12+12.13
D. 12b+5.65=12.13
whoever answers correctly and first will get a brainly
Answer:
d
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME IM STUCK ON THIS QUESTION AND ITS ONLY QUESTION 1!!
Answer:
D) -1 < x < 4
If the angles are represented in degrees, find both angles sin(x+76)=cos(3x+2)
Step-by-step explanation:
[tex]x + 76 + 3x + 2 = 90[/tex]
[tex]4x + 78 = 90[/tex]
[tex]4x = 12[/tex]
[tex]x = 3[/tex]
Angle 1 is 79
Angle 2 is 11.
Find the area of the parallelogram, 22mm 11mm. Please help im stu-pid
find the compound interest on $500 for 8 years. if the interest rate is 3%
A.123.39
B.133.39
C.143.39
D.153.39
Geeta saves 18% of her monthly salary. If she spends Rs.10250 per month, what is her monthly salary? Please explain by step by step procedure.
Answer:
Rs.12500
Step-by-step explanation:
18% = saved
100 - 18 = 82%(used salary)
82% = 10250
100% = ?
100 × 10250 = 1025000
1025000 ÷ 82 = Rs.12500
attachment image = question
please answer
Answer:
In group A, they have at least one 90 degree angle. In Group B, they do not have any 90 degree angles.
please help !! :)))
If a cube has a volume of 343 cubic yards, what is its surface area?
hope this helps-------------
A cell phone company expects that every 2 out of 25 cell phones will have some formof defect. At this rate, how many cell phones out of 500 will be expected to have a defect?
Answer: 40 phones
Step-by-step explanation:
The company expects that every 2 out of 25 phones will have some form of defect.
In percentage terms, this is:
= 2 / 25 * 100%
= 8%
If there are 500 phones therefore, the defected phones would still be the same percentage and the actual number would be:
= 8 % * 500
= 40 phones
(Will Give Brainliest)
Answer:
A. (-4, -4)
Step-by-step explanation:
According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.
This means the original coordinates were enlarged/multiplied by 0.75.
We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.
OR
We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.
For instance,
(-3, -3)
-3 / 0.75 = -4 (x-coordinate)
-3 / 0.75 = -4 (y-coordinate)
This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.
Evaluate the expression when a = -3. a^2 +6a +8
I need help with question 18. The answer is53√3 ft^2. But how do I get there?
Answer:
Hope it helps....
Step-by-step explanation:
Answer:
52√3 ft²
Step-by-step explanation:
sin 60° = (√3) / 2 = h/8
h = 8 x (√3) / 2 = 4√3
cos 60° = 1/2 = a/8
a = 4 b = 15-4 = 11
area = left triangle + right rectangle
area = (4*4√3) / 2 + 11*4√3
= 8√3 + 44√3
= 52√3
50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?
Answer:
102 pounds
Step-by-step explanation:
Does 3 work as a solution to the following inequality? 2n > 6
Answer:
No.
Step-by-step explanation:
If n=3 the only thing you get is 6, which is not more than 6.
3k^2-11k-4=0 solve with quadratic formula
URGENT!!! NEED ASAP!!! TIMED TEST!!!
Given: x + 2 < -5.
Choose the solution set.
{x | x ∈ R, x < -3}
{x | x ∈ R, x < 3}
{x | x ∈ R, x < -7}
{x | x ∈ R, x < 7}
(Please answer as soon as you can!!)
Answer:
ok the answer is 10
Step-by-step explanation:
Just put 10 lol
Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly
Answer: 1/4
Step-by-step explanation:
Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:
= ⅜ + ½ + ¼
= 3/8 + 4/8 + 2/8
= 9/8
= 1 1/8
Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:
= 1/4 + 3/8 + 1/4
= 2/8 + 3/8 + 2/8
= 7/8
The numybe of paint that Destiny use more than Carla will be:
= 1 1/8 - 7/8
= 2/8
= 1/4
Destiny used 1/4 paint more than Carla
Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?
Answer:
Step-by-step explanation:
Given :
Using cosine rule :
c² = a² + b² - 2abCosC
c² = 45² + 25² - 2(45)(25) - cos70
c² = 2650 - 2250 * - 0.3420201
c² = 2650 + 769.54532
c² = 3419.5453
c = sqrt(3419.5453)
c = 58.476
c = 58.5 feets
Find the surface area of the rectangular prism
Answer:
430 cm squared
Step-by-step explanation:
SA= 2(Length x Base, Base x Height, Height x Length)
15cm x 5cm +
15cm x 7xm +
7cm x 15cm =
215cm
215cm x 2 = 430 cm squared.
(it's perimeter of a 3D object so it must be squared, then volume would be cubed)
I hope this helps <3
Find the area of the figure.
13 m
6 m
8 m
4 m
4 m
area:
m2
Answer:
8m
Step-by-step explanation:
A diamond ring increases in value at a rate of 5% per year. If the ring was purchased for $1200, which equation would calculate how much will it be worth in 30 years?
Would it be
A - y = 1200(1+.05)^30
B - y = 30(1+.05)^1200
C - y = .05(1+1200)^30
Answer:
A - y = 1200(1+.05)^30
Step-by-step explanation:
In this case, you need to calculate the future value and the formula to calculate that is:
FV=PV*(1+r)^n
FV=future value
PV=present value
r=rate
n=number of periods of time
The present value would be the price of the ring which is $1200. The rate is 5% per year and the number of periods of time is 30 years since you need to find the ring's worth in 30 years. Now, you can replace the values on the formula:
FV=1200*(1+0.05)^30
According to this, the answer is that the equation to calculate how much will it be worth in 30 years is: y = 1200(1+.05)^30.
Mrs. Crawford is making sugar cookies. She had thirteen already made, and each batch can make eleven more cookies. How many batches does she need to make if she needs a total of 167 cookies?
what integer divided by 6, less eighteen, is negative 22
Answer: -24
Step-by-step explanation:
[tex]\frac{x}{6} -18 = -22[/tex]
[tex]\frac{x}{6} = -22 + 18[/tex]
[tex]\frac{x}{6} = -4[/tex]
[tex]x= -4*6[/tex]
[tex]x= -24[/tex]
check work
[tex]\frac{(-24)}{6} -18 = -22[/tex]
[tex]-4 -18 = -22[/tex]
[tex]-22 = -22[/tex]
If CosA= sqrt 3/2, what is TanA?
Answer:
√(3)/3
Step-by-step explanation:
cos(A) = adj./hyp.
adj. = √(3) or √(3)/2
hyp. = 2 or 1
use unit circle:
hyp. = 1
adj. = √(3)/2
use pythagorean theorem c² - b² = a²
1² - (√(3)/2)² = 1 - 0.75 = 0.25
a² = 0.25
a = √(0.25)
a = 0.5
tan(A) = opp./adj.
tan(A) = 0.5/(√(3)/2)
tan(A) = 1/√(3)
rationalize
tan(A) = √(3)/3
Hey, I need to find the vertex and show work. The equation is down below and photo:
y = x^2 + 4x - 7
The number for the question is 14
Answer:
this answer for this question
y=833
Answer:
y = x^2 + 4x - 7
y=833
Step-by-step explanation:
brainliest?
Write an equation of the line, in point-slope form, that passes through the points (–7, 2) and (3, –2). Use (–7, 2) as the point (x1, y1)
Answer:
first use the equation m = y2 - y1 / x2- x1 to get the slope
m = -2 - 2 = -4
m = 3 + 7 = 10 when there is a negative for x1 it turns positive
the slope is -4/10 or -2/5
now plus the info into the point slope equation
y - y1 = m (x-x1)
this is in point slope form y - 2 = -2/5 (x + 7)
This is how to get it in y-intercept form
y -2 = -2/5x + -2.8
now add -2 on both sides to the -2.8
y = -2/5x (Slope) + -0.8 y- intercept
Hopefully this is right becuase this is just what i learned
Step-by-step explanation: