Answer:
Solving for x;
2x + 85 + 5x + 29 = 930
combine like terms:
7x + 114 = 930
-114 -114
7x = 816
/7 /7
x = 116.57, now we replace the x with it's actual value:
∠ZT = 2(116.57) + 85 = 318.14°
∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;
318.14 + 611.85 = 929.99, which is close to 930 so we are correct.
pls help i'm giving 100 points away on this. drag the tiles to the correct boxes to complete the pairs.find the volume of the cubes or rectangular prisms in cubic centimeter's answers: 6/125 cm^3, 36/125 cm^3, 8/125 cm^3, 1/125 cm^3.the pairing questions are :cube with a side length of 2/5 cm,,,, rectangular prism with a length width and height of 3/5 cm 4/5 cm and 3/5 cm respectively.,,, rectangular prism with a lenght width and height of 1/5 cm, 2/5 cm, and 3,5 cm respectively and cube with a side length of 1/5cm
find the volume of the cubes or rectangular prisms in cubic centimeters
★Answer↷cube with a side length of 2/5 cm= 8/125cm³
rectangular prism with a length ,width and height of 3/5 cm 4/5 cm and 3/5 cm respectively=36/125cm³
rectangular prism with a lenght, width and height of 1/5 cm, 2/5 cm, and 3,5 cm respectively=6/125cm³
cube with a side length of 1/5cm= 1/125cm³
★Solution↷⤑ To find the volume of a cube with side length of 2/5cm,
we'll use this formula
[tex]\huge⇒ {a}^{3} [/tex]
a ⤏edge legth of the given cube = 2/5[tex] \huge ⇒ ({ \frac{2}{5} })^{3} \small{cm}^{3} [/tex]
[tex]\huge⇒ \frac{8}{125} \small {cm}^{3} \\ [/tex]
Hence, the volume of the given cube is 8/125 cm³
⤑To find the volume of a rectangular prism with a length ,width and height of 3/5 cm 4/5 cm and 3/5 cm respectively,
we'll use this formula
[tex]\huge⇒lwh[/tex]
l⤏ length = 3/5cmw⤏width = 4/5 cmh⤏ height = 3/5 cm[tex]\huge⇒( \frac{3}{5} \times \frac{4}{5} \times \frac{3}{5}) \small {cm}^{3} [/tex]
[tex]\huge⇒ \frac{36}{125} \small {cm}^{3} [/tex]
hence ,the volume of the given rectangular prism is 36/125 cm³
⤑To find the volume of a rectangular prism with a lenght, width and height of 1/5 cm, 2/5 cm, and 3/5 cm respectively,
we'll use this formula
[tex]\huge⇒lwh[/tex]
l⤏length = 1/5 cmw⤏width = 2/5 cmh⤏height = 3/5 cm[tex]\huge⇒( \frac{1}{5} \times \frac{2}{5} \times \frac{3}{5}) \small {cm}^{3} [/tex]
[tex]\huge⇒ \frac{6}{125}\small {cm}^{3} [/tex]
hence, the volume of the given rectangular prism is 6/125 cm³
⤑To find the volume of a cube with a side length of 1/5cm
we'll use this formula
[tex]\huge⇒ {a}^{3} [/tex]
a ⤏edge legth of the given cube = 1/5cm[tex]\huge⇒ {( \frac{1}{5} )}^{3} \small {cm}^{3} [/tex]
[tex]\huge⇒ \frac{1}{125} \small {cm}^{3} [/tex]
hence,the volume of the given cube is 1/125 cm³
Solve
6
b.
> 15. Graph the solution.
The solution is
anyone know????
Answer:
b > 20
Step-by-step explanation:
1. isolate the b
3/4 • b > 15
Multiply both sides by inverse fraction 4/3:
3/4b • 4/3 > 15 • 4/3
Group like terms:
3/4 • 4/3 • b > 15 • 4/3
Simply the fraction:
b> 15 • 4/3
Multiply the fraction:
b> 15 • 4 / 3
Simplify the arithmetic:
b > 20
What is the slope of the line?
Answer:
50
Step-by-step explanation:
The formula for slope is (y2 -y1) / (x2 - x1).
Insert two coordinates into the formula (1, 50) and (2, 100) to get 50.
1/3 + 2/5 simplify your answer
Answer:
11/15
Step-by-step explanation:
Answer:
11/15
Step-by-step explanation:
Find the LCD of 1/3 and 2/5 and rewrite to solve with the equivalent fractions.
LCD = 15
[tex]\frac{5}{15}+\frac{6}{15}=\frac{11}{15}[/tex]
[RevyBreeze]
Consider the two functions. Which statement is true?
A)
Function 1 has the greater x-intercept by
HIN
unit
u
Function 2 has the greater x-intercept by ž unit
B)
Function 1 has the greater x-intercept by
MIN
units
D)
Function 2 has the greater x-intercept by
NON
units
о
Answer:
I'm not for sure but I think it's a
A space or solid figure made up of polygonal regions.
Answer:
A solid made up of polygonal regions is called polyhedron.
I hope it will help you...
[tex]darkprincess[/tex]
Jade and Jason were asked to solve the following multiplication problem using the Distributive Property, 8 x 312. Jade answered 8 x (300 + 10 + 2) = 2,496, and Jason answered (8 x 300) + (8 x 10) + (8 x 2) = 2,496. Which student is correct? Fully explain your thinking
Answer:
jason
Step-by-step explanation:
jade's method is not the distributive property.
Radha drives her car for work.
She claims 43p per mile from her employer.
Radha's car travels 55 miles for each gallon of petrol.
She pays £5.40 per gallon for petrol.
On one journey Radha drives 341 miles.
For this journey, how much more does she claim than she pays for petrol?
i
Answer:
113.15 pounds
Step-by-step explanation:
Radha claims 43p per mile * 341 miles = 43p/mile * 341 miles = 14663p = 146.63 pounds from her employer
Next, we can calculate the amount she pays.
55 miles = 1 gallon
1 gallon/55 miles = 1 (note miles are on the bottom so it crosses out)
341 miles * 1 = 341 miles = 341 miles * 1 gallon/55 miles = 6.2 gallons
1 gallon = £5.40
£5.40/1 gallon = 1 (note gallon is on the bottom so it crosses out)
6.2 gallons * 1 = 6.2 gallons * £5.40/1 gallon = £33.48
how much more she claims than she pays = amount she claims - amount she pays = 146.63 - 33.48 = 113.15 pounds
answer from coolstick
Two sides of a triangle have lengths of 14 and 29.
The third side has to have a length, X, between what two numbers?
< X
Answer: 15<x<43
Step-by-step explanation:
You mix 2/3 quart of blue paint for every 3/4 quart of red paint to make 4 and 1/4 quarts of purple paint. How much blue paint and How much red paint do you use?
Answer: 9/4 (or 2 and 1/4) quarts of red paint, & 2 quarts of blue paint.
Step-by-step explanation:
We know the amount of blue paint (2/3) is proportional to the amount of red paint (3/4).
Let's first add 2/3 and 3/4, that will make 17/12 quarts of purple paint. Call this a "serving".
The next step is to find out how many "servings" you need to make to make 4 and 1/4 quarts of purple paint.
4 and 1/4 = 17/4
17/4 divided by 17/12 = 3
Now we know the number of servings to make, which is 3.
Since 3/4 quarts of red paint is enough for one serving, we need to multiply this by 3. We can apply the same logic to the blue paint.
3/4 * 3 = 9/4
2/3 * 3 = 2
There's your answers.
Jennifer bought a $1,038. 99 dining room set for her home in Cincinnati. She calculated the sales tax to be exactly $67. 53435.
a. Round the sales tax to the nearest penny.
b. Round the sales tax to the nearest dollar
Answer:
penny would be 67.53
Step-by-step explanation:
and the dollar would be 68
Mrs. Webster wants to divide 6 pints into 1/3 pints servings. How many servings are possible
Answer:
18 servings
Step-by-step explanation:
6*3=18
There is $4,269 in a savings account. If next year the money is two times as much, how much money is in the savings account?
The Martin family went to dinner and spent $150. 00 on food and beverages. The tax rate is 8. 5%. AFTER the tax has been added, they decide to leave a 20% tip. How much is their total bill?
Answer:
$195.30
Step-by-step explanation:
Frank has four different credit cards, the balances and interest information of which are outlined in the table below. as frank was developing a debt payment plan, rick suggested that he pay off the credit cards beginning with the highest interest rate, working his way down. if frank chooses to follow rick’s advice, in what order should frank plan on paying off his credit cards? credit card balance apr a $2,380 19% b $4,500 15% c $1,580 17.50% d $900 21% a. d, a, c, b b. d, a, b, c c. a, d, c, b d. a, c, d, b
From the four different credit cards, the order should frank plan on paying off his credit cards is D, A, C, B.
What is a debt payment plan?The debt payment plan, is the understanding between the creditor and the borrower to clear all the debt money.
Frank has four different credit cards, the balances, and interest information of which are outlined in the table below.
Credit card balance Apr a. $2,380 19% b. $4,500 15% c. $1,580 17.50% d. $900 21%As frank was developing a debt payment plan, Rick suggested that he pay off the credit cards beginning with the highest interest rate, working his way down.
Frank chooses to follow Rick's advice. By this way, he will choose the highest interset rate to lowest as,
[tex]21\%-19\%-71.50\%-15\%[/tex]
Thus, from the four different credit cards, the order should frank plan on paying off his credit cards is D, A, C, B.
Learn more about the debt payment plan here;
https://brainly.com/question/25035804
Answer: A
Step-by-step explanation:
Mason conjectures that in a right triangle, the cosine of an angle is always equal to the sine of its complement. Is Mason's conjecture correct? Choose the best answer.
Answer:
Yes, because the leg adjacent to one of the acute angles is opposite the other acute angle.
Step-by-step explanation:
Just did it
Square B is a dilation of square A. What is the scale factor?
Evaluate the summation of 25 times 0. 3 to the n plus 1 power, from n equals 2 to 10. 0. 005 0. 321 0. 964 10. 714.
The sum of the geometric series when the value of n is from 2 to 10 is 0.964. Then the correct option is C.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The expression is 25(0.3)ⁿ⁺¹ and n varies from 2 to 10.
We know that the sum of the geometric series can be given as
[tex]S_n = a* \dfrac{1-r^n}{1-r}[/tex]
Where the common ratio (r) is 0.3 and a is the first term is 1.
[tex]\rm S_n = 1* \dfrac{1-0.3^9}{1-0.3}\\\\S_n = 1* \dfrac{0.9999}{0.7}\\\\S_n = 1.43[/tex]
Then we have
summation = 25(0.3)³ × 1.43
summation = 0.96423
More about the series link is given below.
https://brainly.com/question/10813422
A rectangle measures165inches by104inches. What is its area?
Answer:
17 160 inches
Step-by-step explanation:
Area = width x length
so 165 x 104 which is 17 160
Therefore, the area of the rectangle is 17 160 inches
hope this helps, give brainliest?
If the simple interest on $4000 for 3 years is $720, then what is the interest rate?
Answer:
0.06% annually
Step-by-step explanation:
Divide $720 by 3. We get $240, so we know this is the amount of interest we get per year. Dividing $240 by $4,000 gives us
[tex]\frac{240}{4000} = 0.06[/tex]
Help Due in a couple of hours
What's included 100 points and a crown
Answer:
b
Step-by-step explanation:
i could be wrong
How many different ways can 18 students be lined up no links please
Answer:
18
Step-by-step explanation:
Is this an IQ test?
My IQ is 145...
Answer:
18!
Step-by-step explanation:
the ! means factorial
that takes a # and all the # less and multiplies them
18 x 17 x 16 x 15 x 14...
This gives you the amount of ways to order the students
Given that sin theta= -16/65 and that angle theta terminates in quadrant 4, then what is the value of cosө
Answer:
[tex]\frac{63}{65}[/tex]
Step-by-step explanation:
The angle theta terminates in quadrant 4, so we know [tex]\frac{3\pi}{2} < \theta < 2\pi[/tex] and that the sin is negative and the cos is positive.
Using the Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex], we substitute [tex]\sin\theta[/tex] to find [tex]\cos\theta[/tex] :
[tex](-\frac{16}{65})^2+\cos^2\theta=1[/tex].
Solving for [tex]\cos\theta[/tex], we have
[tex]\cos^2\theta=1-\frac{256}{4225}\\[/tex],
[tex]\cos^2\theta=\frac{3969}{4225}[/tex].
Taking the square root of both sides gives
[tex]\cos\theta=\pm\frac{63}{65}[/tex].
We found before that since the angle theta terminates in quadrant 4, the cos is positive, so we take the positive square root to get
[tex]\cos\theta=\frac{63}{65}[/tex].
What is the simplified form of the fraction below 14/49
Answer:
That would be 2/7.
Step-by-step explanation:
By finding the GCD between 14 and 49, you can reduce the fraction.
The GCD between 14 and 49 is 7.
By dividing both 14 and 49 by 7, you'll reduce your answer.
14/49 ---> 2/7
Which of these figures has rotational symmetry?
name a shape that is congruent to
You start at (3, 0). You move left 1 unit. Where do you end?
Answer:
(2,0)
Step-by-step explanation:
Translation is a type of transformation that a graph can go through. A translation moves a point up, down, left, and/or right.
First, you need to understand how translations affect a coordinate point. Moving 1 unit left is a horizontal translation. This means that it will change the x-value of a coordinate point (reminder: the x-value is the first value in a coordinate pair).
Then, remember the difference between moving left and right. Moving right will increase the x-value, and moving left will decrease the x-value.
For example, (4,5) moved 2 units right is (6,5). If you move (4,5) 2 units left it becomes (2,5)Finally, rewrite the coordinate pair using the information above. Since you are moving the point 1 unit to the left, you must subtract 1 from the x-value. This creates the new coordinate pair, (2,0).
Find the length of the third side. If necessary, round to the nearest tenth 22 25
Solution :
We'll solve this using the Pythagorean Theorem.Let,
Let BC be perpendicular.22 be AB, where AB is the Base.25 be AC, where AC is the Hypotenuse.We know that,
[tex]{ \longrightarrow \bf \qquad \: (AB) {}^{2} +( BC) {}^{2} = (AC) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: (22) {}^{2} +( BC) {}^{2} = (25) {}^{2} } [/tex]
[tex]{ \longrightarrow \sf \qquad \: (BC) {}^{2} = (25) {}^{2} - ( 22) {}^{2} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: BC = \sqrt{(25) {}^{2} - ( 22) {}^{2}} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: BC = \sqrt{625 - 484} }[/tex]
[tex]{ \longrightarrow \sf \qquad \: BC = \sqrt{141} }[/tex]
[tex]{ \longrightarrow \bf \qquad \: BC \approx11.87 }[/tex]
Therefore,
The length of the third side is 11.9 (Nearest tenth of 11.87) .Step-by-step explanation:
According to Pythagoras theorem ,
Hypotenuse² = Perpendicular ² + Base ²
Here , we have to find perpendicular
Hypotenuse = 25 unitBase = 22 unitSo,
Hypotenuse² - Base² = Perpendicular²
putting the known values
25² - 22² = perpendicular²
141 = perpendicular²
√141 = perpendicular
Perpendicular = 11.9 unit
Find the value of x'.
Answer:
divided 75 and 50 then divided 85 and that number
Step-by-step explanation:
What is the quotient of 1.892 x 10^8 and 4.3 x 10^3 expressed in scientific notation?
Answer:
4.4 x 10^4
Step-by-step explanation:
(1.892 x 10^8)/(4.3 x 10^3) can be written as:
(1.892/4.3)*(10^8/10^3)
Do each calculation separately:
---------
(1.892/4.3) = 0.44
----------
(10^8/10^3) = 10^5 [The coefficient 3 in the denominator is subtracted from the coefficient in the numerator]
Now put the two together: 0.44 x 10^5
Move the decimal point so that it is to the right of the first digit: 4.4 and then decrease the 10^5 to 10^4.
Answer: 4.4 x 10^4