Answer:
Square root =
remember :
[tex]\boxed {x^2 = \pm a}[/tex]
x² = ± a
x = ña
.
x = ñ25
x = ±5
• x = 5 and -5
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
[tex]31^{\circ}, 35^{\circ}, 114^{\circ}[/tex]
Step-by-step explanation:
Let the first angle be [tex]x[/tex]. Then, the second angle is [tex](x+4)^{\circ}[/tex] and the third angle is [tex](3x+21)^{\circ}[/tex].
We know that the sum of the angles in a triangle will always be [tex]180^{\circ}[/tex]. So, we want to solve the equation for x: [tex](x)+(x+4)+(3x+21)=180[/tex].
Combining like terms on the left side gives [tex]5x+25=180[/tex].
Subtracting [tex]25[/tex] from both sides gives [tex]5x=155[/tex].
Dividing both sides by [tex]5[/tex] gives [tex]x=31[/tex].
So, the first angle is [tex]31^{\circ}[/tex].
The second angle is [tex]x+4=31+4=35[/tex], so the second angle is [tex]35^{\circ}[/tex].
The third angle is [tex]3x+21=3(31)+21=93+21=114[/tex], so the third angle is [tex]114^{\circ}[/tex].
So, the angles are [tex]\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}[/tex] and we're done!
The check that these angles work is left as an exercise to the reader.
Write an equation of the line that passes through the point (6,2) and is perpendicular to the line y=3x+3
Answer:
y = -[tex]\frac{1}{3}[/tex] + 4
Step-by-step explanation:
first of all we know the slope of the equation which is 3x. then we know that we are supposed to write an equation that is perpendicular to y = 3x + 3. so since it is supposed to be perpendicular we have to make the current slope opposite.
so slope for our new equation will be -[tex]\frac{1}{3}[/tex]x.
now since we know our slope we use point-slope form and plug everything in.
point-slope form: y1-y=m(x1-x)
plug it in:
y - 2 = -[tex]\frac{1}{3}[/tex] (x - 6)
= y - 2 = -[tex]\frac{1}{3}[/tex]x +2
= y = -[tex]\frac{1}{3}[/tex] + 4
Pls help me I really need this today. If you need the snack price is here!
Dried Fruit $4.25 per pound
Mixed Nuts $6.75 per pound
Trail Mix $3.50 per pound
9514 1404 393
Answer:
Yes, Yolanda bought enough
Step-by-step explanation:
a. Read and understand the question, including what is given and what is asked for. Here, we have ...
Given: mixed nuts $6.75 per pound, $21.60 spent on mixed nuts; dried fruit $4.25 per pound, $11.90 spent on dried fruit.
Find: is the total weight of purchased mixed nuts and dried fruit at least 6 pounds?
__
b. Select appropriate relations to create a path from what is given to what is asked for. Here, we have ...
weight = cost/(cost per pound)
total weight = weight of mixed nuts + weight of dried fruit
__
c. Use the relations with the given information to come to a conclusion that will answer the question.
weight of mixed nuts = $21.60/($6.75/lb) = 3.2 lb
weight of dried fruit = $11.90/($4.25/lb) = 2.8 lb
total weight = (3.2 lb) +(2.8 lb) = 6.0 lb
Yolanda wanted to buy a total of 6 pounds for the party, and she bought 6 pounds. Yolanda bought enough for the party.
question 10. please i didnt listen to the lecture please help
Answer:
I wrote the answers in the screenshot
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
4 Kilometers
Step-by-step explanation:
if 2 centimeters = 1 kilometer than 8 centimeters = 4 kilometers
A recycling plant recycled 2 tons of cans yesterday. This is a third of their usual amount How much does the plant usually recycle?
25 points :)
Find the greatest common factor (GCF) of 68 and 76.
A. 4
B. 6
C. 8
D. 2
Answer:
Its A
Step-by-step explanation:
Answer:
A. 4
Step-by-step explanation:
Plz can anyone slove 3 & 4 questions plzz
Answer:
For question 3 its definitely 5^15 and I searched 4 so I thinks its 71 or 161? sorry I don't know angles but 3 is correct
Answer:
[tex] {5}^{4 + 8 + 3} = {5}^{15} \\ \\ 90 - 19 = 71[/tex]
3x + (2 + x) + 5 x 2 as a product of two factors
Answer:
4x+12
I think that's it............
What is the next number in the sequence 3,5,8,12,17?
Answer:
it would be 23
Step-by-step explanation:
5-3=2
5-8=3
12-8=4
17-12=5
23-17=6
Tell me pls but pls no files
Answer:
I think its A
Step-by-step explanation:
with a A teacher asked students in his class if they had any brothers or sisters. The results are shown below. What is the chance of randomly selecting someone from this group brother given that they have a sister?
P(Brother|Sister)
5/12
5/17
5/9
5/14
Answer:
5/14
Step-by-step explanation:
add 5 and 9 to get the denominator
Which statement de ribes the system of equations?
[x+2y = 2
[x-2y=-2
Answer:
x+2y=2 x-2y=-2. It has infinitely many solutions. It has no solution. It has one solution
[tex]\sqrt{1.69}[/tex]
1.3 Is that the answer you looking for
4 X 4=16
4 X 5=20
What percent increase?
Step-by-step explanation:
20-16/16 x100
4/16 X 100 = 25%
2/5x11 in simplest form
Answer:
25 is already in the simplest form. It can be written as 0.4 in decimal form (rounded to 6 decimal places).
so its in its simplest form
Answer:
4 2/5 or 4.4
Step-by-step explanation:
2/5 x 11
22/5
Make sure to turn it into a mixed number.
8.24 ➗ 2 = 4.12 ones ➗ 2
Answer:
2.06
Step-by-step explanation:
Your travel guide contains a grid map of London, with each unit on the grid representing 0.5 kilometers. If Buckingham Palace is located at (−2,2) and St. Paul's Cathedral is located at (−2,−3), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary.
Answer:
5.00
Step-by-step explanation:
The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.
Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).
To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
We can calculate the distance between them as follows:
x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)
x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)
Distance = √((-2 - (-2))² + (-3 - 2)²)
= √(0² + (-5)²)
= √(0 + 25)
= √25
= 5 kilometers
So, the distance is 5 kilometers.
To learn more about the distance between two points;
https://brainly.com/question/24485622
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1. What is the mean change in the forecasted high temperatures over the next 7 days? Remember, this can be found by averaging the values in the Difference column for the high temperatures. Show your work and steps. If your answer is not an integer, explain what two integers your answer is between.
Answer: 92.5
Step-by-step explanation:
96 93 93 92 91 84 are your highs and to find the mean you cross one on each side until there is only one or 2 left.
you are left with 93 and 92 so you add them together and divide by two to get 92.5 which is your answer
Simone works at an assembly plant she made 490 items in five days how many items did she average per day?
Answer:
98 per day
Step-by-step explanation:
490 / 5
= 98
Why was Yellowstone National Park created?
A. to set aside land for animals as more people moved west
B. to protect bears from humans and other predators
C. to keep different types of animals together in one place
D. to stop people from moving further west
Answer:
Step-by-step explanation:
The answer is A. to set aside land for animals as more people moved west
At midnight in Alaska, the temperature in Sitka is 29.7 degrees Fahrenheit.
Each hour after that the temperature decreases by 1.23 degrees until the sun comes up.
What is the temperature 2 hours after midnight?
Temperature
Level : JHSthe temperature in Sitka 2 hours after midnight is :
= 29.7°F + (2 × 1.23°F)
= 29.7°F + 2.46°F
= 32.16°F
So, the temperature in Sitka 2 hours after midnight is 32.16°F
#LearnWithEXO
Answer:
27.24° FStep-by-step explanation:
Initial temperature = 29.7° FDecrease rate = 1.23° F / hAfter 2 hours the temperature is:
29.7° F - 2*1.23° F = 27.24° FA plumber has a 36-in. pipe. He must cut into two pieces so that one piece is 14 inches longer than the other. How long is each piece?
Determine the midpoint of segment CD
Answer:
9
Step-by-step expation:
A polynomial of degree at least 3 where one or more of the roots are fractions
#1 p(x)=(x-3)*(x-5)*(x-1)=x3-9x2+23x-15
You try the next one...a fractional root would look like (x-3/2)
Using the Factor Theorem, it is found that an example of a polynomial of degree at least 3 where one or more of the roots are fractions is given by:
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]Factor Theorem: The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]
In which a is the leading coefficient.In this problem:
A polynomial of degree 3 will be built, hence it will have 3 roots.A leading coefficient of a = 1 is supposed.Two non-fractional roots, which are x = 1 and x = 2, hence [tex]x_1 = 1, x_2 = 2[/tex].The fractional root is [tex]x_3 = \frac{1}{2}[/tex].Hence:
[tex]f(x) = (x - x_1)(x - x_2)(x - x_3)[/tex]
[tex]f(x) = (x - 1)(x - 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = (x^2 - 3x + 2)\left(x - \frac{1}{2}\right)[/tex]
[tex]f(x) = x^3 - \frac{7}{2}x^2 + \frac{1}{2}x - 1[/tex]
To learn more about the Factor Theorem, you can take a look at https://brainly.com/question/24380382
is arccos equal tu sec ?
How do you write 3 3/4 as a decimal?
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
For more about the number system,
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The ratio of Kelly's money to Vera’s money was 7:3. After Kelly spent $35, she had $9 more than Vera. How much money did each girl have at first?
Please help i really need it, i will give brainliest to the right answers
Monique is taking part in a chili cooking contest. She has to buy enough supplies to make a very large batch of chili. The table shows the prices of some of the ingredients at the grocery store.
Answer:
1. 5
2. 1.29
3. 9.90
Step-by-step explanation:
They are buying 5 of each thing, so multiply it by 5.
The diced tomatoes cost $1.29.
When you solve the equation, you get 9.9. Convert that to money, and you have $9.90
