Answer:
so you distrubute the 3 into the parenthesis and you then get 3n+15 is greater than or equal to 3n+8 then you subtract the 3n from the right side from the 3n on the left side and you are left with 15 is greater than or equal to 8
Step-by-step explanation:
Answer:
2 years late but its all reall numbers, good luck!
A person whose eye level is 11 ft above the ground is looking at a building. The angle of elevation to the top of the building is 22 degrees and the angle of depression to the bottom of the building is 34 degrees. What is the height (in feet) of the building? Round your answer to the nearest foot.
Answer:
The building has a height of 14 feet.
Step-by-step explanation:
At first we construct the geometrical diagram respective to the person-building system, whose result can be seen in the attached image. We proceed to describe each variable:
[tex]h[/tex] - Height of the eye level above the ground, measured in feet.
[tex]H[/tex] - Height of the building, measured in feet.
[tex]\alpha[/tex] - Angle of elevation, measured in sexagesimal degrees.
[tex]\beta[/tex] - Angle of depression, measured in sexagesimal degrees.
[tex]r[/tex] - Distance between eye level and the bottom of the building, measured in feet.
[tex]r'[/tex] - DIstance between eye level and the top of the building, measured in feet.
By using trigonometric ratios and functions we find that height of the building is represented by the following formula:
[tex]H = r\cdot \sin \beta + r'\cdot \sin \alpha[/tex] (Eq. 1)
But [tex]r[/tex] and [tex]r'[/tex] can be obtained by these expressions:
[tex]r = \frac{h}{\sin \beta}[/tex] (Eq. 2)
[tex]r' = \frac{r\cdot \cos \beta}{\cos \alpha}[/tex] (Eq. 3)
By (Eq. 2) in (Eq. 3):
[tex]r'= \frac{h}{\cos \alpha \cdot \tan \beta}[/tex] (Eq. 3b)
Now, we expand (Eq. 1) by (Eqs. 2, 3b):
[tex]H = h + h \cdot \tan \alpha \cdot \tan \beta[/tex]
[tex]H = h\cdot (1+\tan \alpha \cdot \tan \beta)[/tex] (Eq. 4)
If we know that [tex]h = 11\,ft[/tex], [tex]\alpha = 22^{\circ}[/tex] and [tex]\beta = 34^{\circ}[/tex], the height of the building is:
[tex]H = (11\,ft)\cdot (1+\tan 22^{\circ}\cdot \tan 34^{\circ})[/tex]
[tex]H = 13.998\,ft[/tex]
The building has a height of 14 feet.
Alonso went to the market With $55 to buy eggs and sugar he knows he needs a package of 12 eggs that cost $2.75 after getting the eggs he wants to buy as much sugar as he can with his remaining money does sugar he likes comes in boxes that each cost $11.50
Given:
Alonso has total amount = $55
Cost of a package of 12 eggs = $2.75
Cost of sugar box = $11.50
To find:
The number of sugar boxes he can buy with the remaining money after buying a package of 12 eggs that cost $2.75.
Solution:
Let the number of sugar boxes he can buy be x.
Total cost of x sugar boxes = $11.50x
Total cost of x sugar boxes and a package of 12 eggs = $(11.50x + 2.75)
The total cost must be less than or equal to $55.
[tex]11.50x + 2.75\leq 55[/tex]
[tex]11.50x\leq 55-2.75[/tex]
[tex]11.50x\leq 52.25[/tex]
Divide both sides by 11.50.
[tex]x\leq \dfrac{52.25}{11.50}[/tex]
[tex]x\leq 4.54348[/tex]
So, the greatest integer value of x is 4.
Therefore, he can buy 4 sugar boxes with his remaining money.
(2x + 30)
(4x – 90°
What value for x will show that lines / and m ar parallel?
Answer:
d. 60
Step-by-step explanation:
[tex](2x + 30) \degree = (4x - 90) \degree \\ (exterior \: alternate \: \angle s) \\ \\ 2x + 30 = 4x - 90 \\ \\ 30 + 90 = 4x - 2x \\ \\ 120 = 2x \\ \\ x = \frac{120}{2} \\ \\ x = 60[/tex]
The diameter of the Sun is 1.4 x 10⁶ km. The diameter of the planet Mars is 7000 km. What is the approximate ratio of the diameter to the Sun to the diameter of Mars? A.) 5 x 10^-3 B.) 2 x 10³ C.) 2 x 10² D.) 5 x 10²
Answer:
C.) 2×10²
Step-by-step explanation:
(Sun dia) / (Mars dia) = (1.4 x 10⁶ km) / (0.7 × 10⁴ km) = (1.4/0.7) × 10²
The ratio of diameters is about 2 × 10².
_____
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
__
The diameter of Mars can be expressed several ways.
7000 = 7×1000 = 0.7×10,000 = 0.7×10⁴
Answer: 2 x 10^2
Step-by-step explanation:
the other person is wrong :I
Which step was the first error made? -3\left(2x-3\right)=33−3(2x−3)=33 -6x+6=33−6x+6=33 step 1 -6x=27−6x=27 step 2 \frac{\left(-6x\right)}{-6}=\frac{\left(27\right)}{-6} −6 (−6x) = −6 (27) step 3 x=-4.5x=−4.5 step 4 Step 3 Step 2 Step 1
Given:
The equation is
[tex]-3(2x-3)=33[/tex]
The incorrect solution steps are given.
To find:
The first error.
Solution:
We have,
[tex]-3(2x-3)=33[/tex]
Using distributive property, we get
[tex]-3(2x)-3(-3)=33[/tex]
[tex]-6x+9=33[/tex]
The given step 1 is [tex]-6x+6=33[/tex], which is not correct.
Therefore, there is first error in step 1 because the distribution property is not used properly.
Hence, the correct option is D.
please help me with this. please. thank you
m= -(4+m) + 2
solve for m
Step-by-step explanation:
[tex]m = - ( 4 + m) + 2[/tex]
[tex]m = - 4 - m + 2[/tex]
[tex]m + m = - 4 + 2[/tex]
[tex]2m = - 2[/tex]
[tex]m = - 1[/tex]
is the required Answer.
Hope it helps :)
Answer:
-1
Step-by-step explanation:
The product of 4 and a number plus 17 is 5
Answer:
4x+17=5
Step-by-step explanation:
The product of 4 and a number: Product means multiplication.
Therefore, we have 4 and any variable of your choice.(I used x)
plus 17: +17
Now we have 4x+17
Is: means equal (=)
Now we plug in what we have: 4x+17=5
Hope this helps! :)
I NEED HELP PLEASE THANK YOU :)))
Rewrite the equation into slope intercept form. y + 7 = -1/2(x + 4)
Answer:
[tex] y = - \frac{1}{2} x - 9[/tex]
Step-by-step explanation:
[tex]y + 7 = - \frac{1}{2} (x + 4) \\ \\ y + 7 = - \frac{1}{2} x + (- \frac{1}{2}) \times 4 \\ \\ y = - \frac{1}{2} x - 2 - 7 \\ \\ y = - \frac{1}{2} x - 9[/tex]
What is the solution to the inequality 3(2x-1) > 4x - 2
Answer:
x>1/2
Step-by-step explanation:
The integer 4 is considered all of the following except _____.
a constant
an expression
a term
a variable
Answer:
its a constant
Step-by-step explanation:
How do you Solve (−7) ⋅ (−4)
Answer:
Step-by-step explanation:
So that " ⋅ " sign is just the multiplication, and always remember:
WHENEVER YOU MULTIPLY TWO NEGATIVE NUMBERS THE PRODUCT IS ALWAYS POSITIVE
So you just multiply 7 and 4 which is 28 and leave it be.
If you need more help, comment.
I'm sorry for my wrong explanation.
Which is logically equivalent to the converse of a conditional statement? The original conditional statement the inverse of the original conditional statement the contrapositive of the original conditional statement the converse of the converse statementWhich is logically equivalent to the converse of a conditional statement? the original conditional statement the inverse of the original conditional statement the contrapositive of the original conditional statement the converse of the converse statement
Answer:
The correct option is;
The inverse of the original conditional statement
Step-by-step explanation:
The converse of a conditional statement is given as follows;
Conditional statement: If p then q [tex]{}[/tex] p → q
The converse of the conditional statement: If q then p [tex]{}[/tex] q → p
The contrapositive of the conditional statement: If not q then not p [tex]{}[/tex] ~q → ~p
Therefore, the conditional statement is logically equivalent to its contrapositive
The inverse of the conditional statement: If not p, then not q [tex]{}[/tex] ~p → ~q
Similarly
The converse of the conditional statement is equivalent to the inverse of the conditional statement.
Answer:
b
Step-by-step explanation:
What is 0.00308 written in scientific notation? Group of answer choices
Answer:
3.08 x 10^-3
Step-by-step explanation:
when putting into scientific notation, you must make it to where there is one number to the left of the decimal. If you move the decimal left, it equals a negative power, if you move it right, it equals a positive power.
Divide 7 by 20 to convert 7/20 to a decimal
Answer:
0.35
Step-by-step explanation:
To get 7/20 converted to decimal, you simply divide 7 by 20. Don't worry. You don't need to get the calculator out, because we did this for you. 7/20 as a decimal is: 0.35 Note: When Research Maniacs calculated 7/20 as a decimal, we rounded the answers to nine digits after the decimal point.
I NEED HELP PLEASE !!!!!
Answer:
10 secs
Hope this helped, if not, don’t hate.
liner equations can have fractions with variables on top
Answer:
yes
Step-by-step explanation:
Craig is 24 years younger than his mother. Together their ages total 56 years. How old is each person?
Answer:
together their year=56 years
younger then his mother=24
56-24=32
Which of the following comparisons is correct?
-2 2
4<−4
−6< −5
================================================
Explanation:
Let's go through the answer choices
A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left. B) This is also false. The value 0 is smaller than 2. A number line might help show this.C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number. D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.If a rectangle has perimeter of 50 cm., what could its dimensions (length and
width) be? Select all correct answers.
O 25 cm and 25 cm
15 cm and 10 cm
5 cm and 20 cm
10 cm and 5 cm
Answer:
The two middle ones: 15cm and 10cm; 5cm and 20cm
Step-by-step explanation:
The first one would be a rectangle with a perimeter of 100, while the last would have a perimeter of 30.
Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Micah listed some values that were not multiples.
Micah listed factors of each number instead of multiples.
Micah should have multiplied 8 and 12 to find the least common multiple.
Micah selected a multiple that is not the least of the common multiples.
Answer: The answer is A
Step-by-step explanation:
12 is NOT a multiple of 8. She only listed multiples for 12 not 8.
Answer:
the anwer is a
Step-by-step explanation:
some of the numbers were not factors
The construction crew places a sign every 1 3/4 miles on a stretch of a road that is 8 3/4 long. How many signs will that use
Answer:
5
Step-by-step explanation:
I big brain
4 times a number is 21 less than the square of that number. Find the positive solution
Answer:
Step-by-step explanation:
Let the number be x
by given condition,
4x = (x)² - 21
4x = x²- 21
0 = x² - 4x - 21
0 = x² - 7x + 3x - 21
0 = x ( x-7) + 3 ( x - 7)
0 = (x+3)(x-7)
hence
x + 3 =0.....
x = -3---------1
x - 7 = 0
x = 7 ------------2
we got value of x from 1 and 2.. but the question says positive value of x.
hence, x = 7 is the required value of x.
The sum of three consecutive ODD numbers is -21. FIND THE THREE INTEGERS. define the variables,write and solve the equation,give all answer. HELPL!! DUE IN 13 MINUTES
Answer:
ok so
Step-by-step explanation:
at 11 hours, 42 minutes and 5 hours, 46 minutes
Answer
https://zoom.us/j/99385592884?pwd=ajVOcXZSbGcyT3N3N0kxQm5Zek81Zz09er:
Step-by-step explanation:
Answer:
17 hours and 28 min
Step-by-step explanation:
How do you solve 18x+27=117
Answer:
x = 5
Step-by-step explanation:
18x = 117 - 27
18x = 90
x = 90/18
x = 5
Answer:
18x + 27 = 117
collect like terms
18x = 117 - 27
18x = 90
divide both sides by 18
x = 5
To get an answer to increase you multiply by A 1/2 B 3/4 C 4/5 D 6/5
Answer:
D
Step-by-step explanation:
PLS HELP ITS EASY AND DUE SOON!!!!!!!!!!!!
Answer:
The answer is 5
Step-by-step explanation:
40 ÷ by 8 = 5
8 × 5 = 40
i have trouble with distributive property
Answer:
try the website math way :)
Step-by-step explanation:
Choose the multiplicative inverse of 5/3
Answer: I think that would be 5x3
Step-by-step explanation: