∠1+∠7=180°
7x+8+10x+2=180
17x+10=180
17x=170
x = 10
50 points helppppppppppppppppppppppppppppppppppppppppppppppp i need it fast
Answer:
a) 15.625 cm²
b) 8 cm²
c) 50 cm²
d) 12 cm²
Step-by-step explanation:
a) area of a parallelogram = base x height
⇒ area of yellow shape = 1/2 x base x height
= 1/2 x 12.5 x 2.5
= 15.625 cm²
b) area of triangle = 1/2 x base x height
= 1/2 x 2 x 8
= 8 cm²
c) area of a parallelogram = base x height
area yellow parallelogram = (10 x 6) - (5 x 2) = 50 cm²
d) area of a parallelogram = base x height
⇒ area of a 1/2 parallelogram = 1/2 x base x height
⇒ area yellow shape = 1/2 x 12 x 2 = 12 cm²
what is pi,
is pi 3.1415????
Answer:
Yes that's some of the digits
Step-by-step explanation:
You can round up pi to 3.14.
Actual digits of pi: 3.141592653589793238462...that's all I can memorize.
mathematical constant, approximately equal to 3.14159. It is defined in Euclidean geometry as the ratio of a circle's circumference to its diameter, and also has various equivalent definitions. The number appears in many formulas in all areas of mathematics and physics.
Answer: no its not 3.1415
Step-by-step explanation:
Solve for x.
7x/−10=−42/5
Answer:
x=12
Step-by-step explanation:
[tex]-\frac{7x}{10} =-\frac{42}{5}[/tex] multiply both sides by -10 as the first step to get x by itself
[tex]7x =84[/tex]. divide both sides by 7
x = 12
Please i need help, can someona explain how to solve the problems with the most easiest way to solve? Because this is so confusing
Answer:
Above your sheet, they give you formulas for the rectangular prism.
Method one;
V = L x W x H
Where "L" is length, "W" is width, and "H" is height.
Method 2;
V = B x H
Where "B" is the area of the base, and "H" is the height.
Now let's apply these formula to your questions:-
(Using method 2 for most of these problems)
1. If we look for the area of the base, we can see that 2 is the width and 4 is the length, so we would need to multiply those two to get the area of the base (2 x 4) = 8.
Now the height is 3.
So we plug this into our formula,
V = B x H
V = 8 x 3
V = 24 cubic feet
2. If we look at this question, we can see that this is a cube, meaning that all lengths are the same. To make this easier, we can use method 1 and just multiply the given lengths;
V = L x W x H
V = 4 x 4 x 4
V = 64 cubic inches
3. If we look for the area of the base, we can see that 5 is the width and the length is 20, so we would need to multiply those two to get the area of the base (5 x 20) = 100.
The height is 5.
So we plug this into our formula;
V = B x H
V = 100 x 5
V = 500 cubic yards
4) If we look for the area of the base, we can see that 3.2, if i'm correct, is the width and 5.4 is the length, so we would need to multiply those two to get the area of the base (3.2 x 5.4) = 17.28.
The height is 1.9.
So we plug this into our formula;
V = B x H
V = 17.28 x 1.9
V = 32.832, 32.83 cubic centimeters
Graph the function.
y = 3 square root x
Answer:
x=3×3
Step-by-step explanation:
ok it's fine if you don't mind
Bonds issued by Animite Energy are selling at a rate of 95. 230. Which of the following statements is true for a bond of par value $1,000? a. The market value includes a premium of $5. 23. B. The market value includes a premium of $10. 50. C. The market value includes a discount of $47. 70. D. The market value includes a discount of $95. 23.
The statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
It is the price which is required to buy something in the current market.
Bonds issued by Animite Energy are selling at a rate of 95.230. This is the bond percentage of the Animite energy in the market. This means if someone wants to buy 95.230 of this company's bond, then he get $100.
Now for the 1000 bonds, the amount required is,
[tex]C=95.230\times10\\C=952.30[/tex]
Hence, for the 1000 bonds, the amount required is 952.30. Therefore, the discount will be,
[tex]d=1000-952.30\\d=47.70[/tex]
Hence, the statements which is true for a bond of par value $1,000 is that the market value includes a discount of $47. 70.
Learn more about the market value here;
https://brainly.com/question/8084221
Answer:c
Step-by-step explanation:
Miguel's irrigation tank for his large garden held 45. 5 gallons before he began to fill it at a rate of 17 gallons per minute.
Before he started watering the plants in his garden, Miguel's friend Alejandro checked his irrigation tank and found it contained 425 gallons.
If Alejandro is irrigating his plants at rate of 11. 5 gallons per minute, how much water will be in each tank when both tanks have the same amount of water?
Answer:
year, subtract that amount from the 230,000 gallons of seasonal water use. 230,000 gallons – 150,000 gallons = 80,000 gallons use for irrigation per year .
Step-by-step explanation:
I took the test
A
B
E
D
С
Note: Figure is not drawn to scale.
In rhombus ABCD, segments AC and BD are diagonals. If mZDAB = 160°, what is the measure of ZABE?
OA. 190°
ОВ.
170°
OC
10°
D.
100
Answer:
The correct option is OPTION C.
Step-by-step explanation:
Recall that for a rhombus, the diagonals bisect the interior angles.
This means that if we are given that:
m∠DAB=160°
Then:
m∠EAB=m∠DAB/2=160/2=80°
Also, recall that the diagonals of a rhombus are perpendicular. Therefore:
m∠AEB=90°
Hence, we can have a triangle that looks like the one shown below:
Recall that the sum of angles in a triangle is 180°. Therefore, we have that:
m∠AEB+m∠ABE+m∠EAB=180°
Hence, we can calculate m∠ABE to be:
m∠ABE =180-80-90
m∠ABE=10°
The correct option is OPTION C.
HELP IM TIMED PLEASE
Emesto tried to determine the solution for the system of equations using substitution. His work is shown below. x-y=7 3x – 2y = 8 Step 1: x= y + 7 Step 2: 3y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 Step 5: y = 1
in which step did Ernesto make the first error?
A. step 1
B. Step 2
C. step 3
D. step 4
Answer:
d step 4
Step-by-step explanation:
hope it helps you on what u are doing
Imagine it’s the summer before you start high school. You’re trying to figure out what to wear for that important first day of school. What should you do with your hair? What shoes should you wear? Write a 100-word letter to a friend—real or imaginary—who’s already in high school and explain your problem. Ask your friend if he or she has any advice for you.
Imagine it’s the summer before you start high school. You’re trying to figure out what to wear for that important first day of school. What should you do with your hair? What shoes should you wear? Write a 100-word letter to a friend—real or imaginary—who’s already in high school and explain your problem. Ask your friend if he or she has any advice for you.
[tex]Dear[/tex] [tex]friend,[/tex]
Aren't you so excited? This fall is when we get into HIGH-SCHOOL! But I have a problem. I need to know what I should wear for the first day! And my hair! Do you have any advice for me, friend? Can you send this letter back with advice, please? Thank you very, very much!
[tex]Sincerely,[/tex]
[tex]Jane[/tex]
please help me with this
omg help me pls and tysm
Answer:
33
Step-by-step explanation:
Alright, so, let's break it down.
We know that d = negative 6 (-6)
Lets start with -5d.
Since d = -6, we have to do -5 × -6, which is 30.
So, now, we are using fractions. -6 plus 15.
(Which is, negative 6 plus 15)
That is 9. Since we are adding a negative number to a positive number, it will be the same way as 15 minus 6.
Now, we know that we are using division (due to the fraction line, we know that we are using division). Let's divide 9 into 3. That's 3, because 3 times 3 is also 9. Now, if we add 30 plus 3, we get 33, Therefore, the answer is 33.
Answer:
33
Step-by-step explanation:
-5(-6) + (-6) + 15/3
30 + -6 + 15/3
30 + 9/3
30 + 3
33
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!
What is 0.7¯(the line is suppose to be ontop of the seven) expressed as a fraction in simplest form?
Answer:
the answer is just 7/9
The inverse of the logarithmic function f(x) = log0. 5x is f−1(x) = 0. 5x. What values of a, b, and c complete the table for the inverse function?.
The values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.
What is the inverse of the logarithmic function?The Inverse of the logarithmic function is an exponential function.
The given logarithmic function is,
[tex]f(x) = \log_{0. 5}x[/tex]
The inverse of the given logarithmic function is,
[tex]f^{-1}(x) = 0.5^x.[/tex]
Put the value of x as -1 from the table attached below, to find the value of a.
[tex]f^{-1}(-1) = 0.5^{(-1)}\\f^{-1}(-1) = 2[/tex]
Similarly, put the value of x as 0 from the table attached below, to find the value of b.
[tex]f^{-1}(0) = 0.5^{(0)}\\f^{-1}(0) = 1[/tex]
Now, put the value of x as 2 from the table attached below, to find the value of c.
[tex]f^{-1}(2) = 0.5^{(2)}\\f^{-1}(2) = -2[/tex]
Thus, the values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.
Learn more about the inverse of the logarithmic function here;
https://brainly.com/question/12082934
What is an equation of the line that passes through the points (-4, -5) and
(-8, -2)?
To find the equation, First step is to find the slope which we can use in the formula and then we will find the equation using the specific formula...
Finding slope ⤵️[tex] \boxed{ \sf \:m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} }[/tex]
(x1,y1) = (-4,-5)(x2,y2) = (-8,-2)[tex] \tt \to \: m = \frac{ - 2-( - 5)}{ - 8 -(- 4)} [/tex]
[tex] \tt \to \: m = \frac{ -2+5}{ -8+4} [/tex]
[tex] \tt \to \: m = - \frac{3}{4} [/tex]
Now, Put the values in the formula used to find the equation ⤵️[tex] \boxed{ \sf \:y - y_{1} = m(x - x_{1}) }[/tex]
(x1,y1) = (-4,-5)[tex] \tt \nrightarrow \: y - ( - 5) = - \frac{3}{4} (x - ( - 4))[/tex]
[tex] \tt \nrightarrow \: y + 5 = - \frac{3}{4} (x + 4)[/tex]
[tex] \tt \nrightarrow \: y + 5 = - \frac{3}{4} x - 3[/tex]
[tex] \tt \nrightarrow \: y = - \frac{3}{4} x - 3 - 5[/tex]
[tex] \bf\nrightarrow \: y = - \frac{3}{4} x - 8[/tex]
The solution is, The equation the line is, y = -3x/4 -8
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have
two points (-4, -5) and (-8, -2)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
=>(y+5)/(x+4)=(-2+5)/(-8+4)
=>(y+5)/(x+4)= 3/ -4
=>-4y - 20 = 3x +12
=> -4y = 3x + 32
=> y = -3x/4 -8
Hence, the required equation is, y = -3x/4 -8
To learn more on Equation 0f Straight-Line click:
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#SPJ2
use the law of cosines to gind the value of x and y.
Answer: Answer:[tex]x = 49.8^\circ\\y = 54.6^\circ[/tex]Step-by-step explanation: Kindly refer to the image attached in the answer region for labeling of triangle.
Step-by-step explanation: u multiply the numbers
Write the sentence as an equation.
249 is the product of m and 382, reduced by 110
i will give brainliest
Answer:
382 x m= 249 divided by 110
Step-by-step explanation:
:)
Answer:
249= 382m-110
Step-by-step explanation:
Please help with this
Answer:
2.5 feet per minute
Step-by-step explanation:
Rate of Change: [tex]\frac{75-25}{30-10}[/tex] = 50/20 or 5 feet every 2 minutes or
2.5 feet per minute
A cylindrical metal pipe has external diameter of 6cm and internal diameter of 4cm. Calculate the volume of metal in a pipe of length 1 meter. If 1cm^3 of the metal has a mass of 8 grams, find the mass of the pipe.
Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x [tex]\pi[/tex] x 6² x 100 - 1/4 x [tex]\pi[/tex] x 4² x 100
= 900 [tex]\pi[/tex] - 400 [tex]\pi[/tex] { v = 1/4 [tex]\pi[/tex] d²h }
= 500 [tex]\pi[/tex]
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
Graph the points (3,3) and (2,1) on the coordinate plane.
Answer:
1. Over three, up three
2. Over two, up one
Step-by-step explanation:
Given the following question:
Point A = (3, 3)
Point B = (2, 1)
To find the answer, please understand where the x and y axis is located. Remember that the x is the line intersecting the y axis.
So, in order to plot point A and B, we have to remember that the first value represents x, and the second represents the y value.
(3, 3) = (x, y)
(2, 1) = (x, y)
For the first point we will move over three on the x axis, and then up three on the y axis.
For the second point we will move over two on the x axis, and then up 1 on the y axis.
Hope this helps.
I need help with this
Answer:
Since
4
4x
and
4
n
have the same denominator, add them by adding their numerators.
Step-by-step explanation:
1. Mateo plans to solve the system below using elimination. Which is a reasonable first step Mateo could take? -X + 6y=9 3x + 2y = 13 - A. Multiply the 2nd equation by 3 - B. Multiply the 2nd equation by -3 C. Multiply the 1st equation by - 3 D. Any of the above
Answer:
C
Step-by-step explanation:
multiply the 1st equation by -3
A 10-ft vertical post casts a 126-in shadow at the same time a nearby cell phone tower casts a -ft shadow. How tall is the cell phone tower?
Answer: 10 feet post-1.167 ft shadow
119 feet shadow
Step-by-step explanation: brainliest pls
Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 4 yards? Select all that apply.
A) 15 feet
B) 150 inches
C) 3 yards, 4 feet
D) 3 feet, 15 inches
E) 10 feet, 11 inches
Answer:
A B and C are correct
Step-by-step explanation:
4 yards = 12 feet = 12x12 = 144 inches
A is correct since 15 feet > 12 feet
B is correct since 150 inches > 144 inches
C is correct since 3 yards + 4 feet = 4 yards and 1 foot > 4 yards
D is incorrect since 3 feet + 15 inches is 4 feet and 3 inches < 12 feet
E is incorrect since 10 feet + 11 inches < 12 feet
how manh solutions does the system have
Answer:
Step-by-step explanation:
To find how many solutions that this system equation has, we must solve it
since y equals to both '-5x +1' and '1-5x' we can set them equal to each other and get:
[tex]-5x+1 = 1-5x\\0 = 0[/tex]
So there are infinitely many solutions as we got 0 = 0
Hope that helps!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 2
Step-by-step explanation:
180= 90 + 57 + Z
Z = 180 - 90 - 57
Z = 33
33 = 7X + 19
7X = 33 - 19
7X = 14
X = 2
Factor the polynomial 3x4 – 2x2 15x2 – 10 by grouping. Which product is the factored form of the polynomial?.
The factors of the polynomial are [tex]\rm (x^2+5)(3x^2-2)[/tex].
What are the factors?These factors can be numbers, variables, or an algebraic expression.
Given
Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.
The factors of the polynomial are;
[tex]\rm 3x^4-2x^2+15x^2-10\\\\x^2(3x^2-2)+5(3x^2-2)\\\\(x^2+5)(3x^2-2)[/tex]
Hence, the factors of the polynomial are [tex]\rm (x^2+5)(3x^2-2)[/tex].
To know more about factors click the link given below.
https://brainly.com/question/12856801
calculations included please
Answer:
[tex] \frac{ {r}^{ 3} + 25}{p(q + r)^{4} } = \frac{ {(3.5)}^{3} + 25}{5(6 + 3.5)^{4} } = \frac{42.875 + 25}{5 {(9.5)^{4} }} \\ \\ = \frac{67.875}{5(8145.0625)} = \frac{67.875}{40725.3125} \\ \\ = 0.00166665 = 0.002[/tex]
Step-by-step explanation:
(3.5^3 +25) ÷5(6+3.5)^4
(42.875 + 25) ÷5 (9.5)^4
(67.875) ÷ 5 (8145.0625)
(67.875) ÷ 203626.5625
=0.00033333078)
three boys share R2100 in ratio 3:5:7 calculate how much each boy will get
The amount each boy receives from the R2100 is R420, R700 and R980 respectively
How to find ratioTotal amount = R2100
Ratio = 3 : 5 : 7
Total ratio = 3 + 5 + 7
= 15
First boy = 3/15 × 2100
= 0.2 × 2100
= R420
Second boy = 5/15 × 2100
= 0.33333333333333 × 2100
= R700
Third boy = 7/15 × 2100
= 0.46666666666666 × 2100
= R980
Learn more about ratio:
https://brainly.com/question/1781657
An urn contains 4 purple marbles and 3 pink marbles. Two marbles are drawn at random. What is the probability that both marbles are purple
if drawn with replacement?
Answer: 16/49
Step-by-step explanation:
The probability of pulling a purple marble is 4/7, since 4+3 is 7.
Since the marbles are replaced, the probability does not change when pulling out marbles.
To combine probabilities, we multiply them
[tex]\frac{4}{7} * \frac{4}{7} = \frac{16}{49}[/tex]
Step-by-step explanations
possibility=4+3=7
4/7=4/7