Answer:
[tex]x = 51^o[/tex]
Step-by-step explanation:
Given
Intersecting lines
Required
Find x
To do this, we make use of:
[tex]x + 23^o + 2x + 4^o = 180^o[/tex] --- angle on a straight line
Collect like terms
[tex]x + 2x = 180^o - 4^o - 23^o[/tex]
[tex]3x = 153^o[/tex]
Divide both sides by 3
[tex]x = 51^o[/tex]
If X = 14 units and h = 8 units, then what is the area of the triangle shown above?
Answer:
56 units
Step-by-step explanation:
Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.
In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!
[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]
Therefore, the area of the triangle is 56 units.
I hope this helps! Please let me know if you have any questions :)
Given 4x2 – 7x = -3, what are the solutions??
Step-by-step explanation:
4*2-7x=-3
8-7x=-3
-7x=-3-8
-7x=-11
x=-11/-7
x=1.5714...
Answer:
x = {3/4, 1}Step-by-step explanation:
4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0 | 4x - 3 = 0x = 1 | x = 3/4|2x+3|=7;2
help pls
Answer:
x = {-5, 2}
Step-by-step explanation:
unfamiliar with the notation 7;2
will solve for |2x + 3| = 7
Solution I - the quanity inside the absolute value is 7
2x + 3 = 7
2x = 4
x = 2
Solution II - the quanity inside the absolute value is –7
2x + 3 = –7
2x = -10
x = -5
-----------------
x = {-5, 2}
What is the volume of the triangular prism?
Answer:
48 in³
Step-by-step explanation:
the volume = ½×3×4 × 8 = 48 in³
What is the area of a triangle with a base of 7cm and a height of 120% of the base?
Calculate the area
Answer:
29.4 cm^2
Step-by-step explanation:
We can use a proportion to find the height:
120 : 100 = x : 7
x = (120 *7)/100 = 8.4 cm
Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2
Answer:
29.4cm²
Step-by-step explanation:
First we are going to find 120% of 7.
7 × [tex]\frac{120}{100}[/tex] = 8.4 cm
Therefore, 8.4 cm is the height.
Area = [tex]\frac{1}{2}[/tex] Base × Height
= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²
tina works 15 hours a week (monday to friday). last week she worked 3 1/2 hours on monday, 4 hours on tuesday, 2 1/6 hours on wednesday and 1 1/2 on thursday. how many hours did she works on fridays
Answer:
Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.
Step-by-step explanation:
To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.
Step 1 : Add up all the hours worked so far.
[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1\frac{1}{2}[/tex] = ?
We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.
[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]
Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.
Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.
15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]
Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.
Hope this helps, please mark brainliest if possible. Have a great day.
Write as a single fraction in its simplest form.
how do you do this?
Answer:
(-12x - 25) / (x + 3) (x - 5)
Step-by-step explanation:
1 - 2x/(x+3) + (x+3)/(x - 5)
= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)
= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)
= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)
= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)
= (-12x - 25) / (x + 3) (x - 5)
I need it fast plss help someone help
56 over 15
hope this help yoooooooooooooooooooo
Answer:
22/15
Step-by-step explanation:
(1/3 + 2/5) x (2 - 1/2) ÷ 3/4
=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4
=11/15 x 3/2 ÷ 3/4
=11/15 x 3/2 x 4/3
=22/15
Hope this helps! Have a nice day!
can anyone help with this? find st and rt
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Answer:
ST= 5.2
RT= 23.6
Step-by-step explanation:
Help!! Please also explain how you got your answer
Answer:
y = -½x + 4
Step-by-step explanation:
the line passes point of y-intercept (0, 4) ,
and another point (6, 1)
the slope = (1-4)/(6-0) = (-3)/6 = -½
so the Equation is y = -½x + 4
Write the number 10 000 000 as a power of 10.
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
Mark this and return
Save and Exit
Nelit
Submit
Answer:
Option D can be your answer
The true statement about geometric figure is
One plane can be drawn so it contains all three points.
What is Plane?A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.
We have three points R, S and T.
So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.
There is a plane that contains our three points if we have three separate points in 3-space.
So, For the three points R, S, and T, the third assertion is accurate.
Learn more about Plane here:
https://brainly.com/question/1962726
#SPJ7
What is the equation of the line
help me please and thank you.
Answer:
$127
Step-by-step explanation:
Ur welcome :)
Using laws of exponents,
The answer is :
- i
I hope this helps
Answer:
-i
Step-by-step explanation:
just did it on edg 2021
X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
Find the measure of y, round to the nearest tenth
Answer:
y = 8
Step-by-step explanation:
cos = adj/hyp
cos30 = 4√3 / y
y = 4√3 / cos30
y = 6.928203230275509 / 0.866025403784439
y = 8
the question= find the percent of each number
1.) 78% of 160
2.) 12% of 325
also could u put an explanation
Answer:
78 x 160 /100
= 124.8
12 x 325/100
= 39
Step-by-step explanation:
How many dolls can Julie and Erin make with the amount of black velvet they have? Complete the model to represent the problem.
In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank
Given:
Principal = Rs. 1200
Rate of interest = 25%
To find:
The time in which the interest will became equal to the principal.
Solution:
We have,
[tex]P=1200[/tex]
[tex]r=\dfrac{25}{100}[/tex]
[tex]r=0.25[/tex]
If interest is equal to the principal, then
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=1200+1200[/tex]
[tex]Amount=2400[/tex]
The formula for amount is:
[tex]A=P\left(1+r)^n[/tex]
Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get
[tex]2400=1200(1+0.25)^n[/tex]
[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]
[tex]2=(1.25)^n[/tex]
Taking log on both sides, we get
[tex]\log2=\log(1.25)^n[/tex]
[tex]\log2=n\log(1.25)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]
[tex]n\approx 3.11[/tex]
Therefore, the interest will became equal to the principal in about 3.11 years.
Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2
Answer:
1.6.7*520=3484
Step-by-step explanation:
( I).67*0.52
convert that 0.52 to proper fraction
67×13/25=871/25
which is=34.84
(III). 3484/5.2
convert 5.2 to improper fraction ❤️
=52/10=26/5
3484/26/5=3484×5/26=670
EXERCISE 22.3
1.Divide 250 in the ratio 3:2
2.Divide 144 in the ratio 1:2
3.Divide 10 kg in the ratio 2:3
4.Divide 1 hour in the ratio 5:7
5.Divide 8m in the ratio 3:13
6.Divide 45 km in the ratio 7:8.
7.Divide 4 hours in the ratio 5:3
8 .Divide 2 kg in the ratio 3:7
9 .Divide 3 litres in the ratio 7:5
10.Divide 1 cm in the ratio 2:3
11.Divide 70 in the ratio 60% to 40%
12.Divide 1 hour in the ratio 20% to 80%
13 .Express the ratio 3:17 as percentages.
14 .Express the ratio 9:31 as percentages.
2. 144/1:2 is 144/ ½ = 144 x 2/1 = 288
Find the area of this figure round your answer to the nearest hundredth. Use 3.14 to approximate
Answer:
Ok from what your saying i would say your talking about a circle the formula to find the area of a circle is PiR^2
so the radius times radius times 3.14
write an equation to represent each graph
equation for first figure=2x+y=2
equation for second figure= 4x-y=8
(use formula x/a+y/b=1)
where, a=x component and b= y component..
What is the value of x?
Answer:
67.5
Step-by-step explanation:
The sum of the interior angles is 540, therefore
540 = 90 + 4y
540 - 90 = 4y
450 = 4y
450 / 4 = y
112.5 = y
X and Y together equal 180, therefore
180 = x + 112.5
180 - 112.5 = x
67.5 = x
True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false
Answer:
False ..... ....... . . .. ..
Which of the following best describes the graph of the polynomial function
below?
Answer:
Step-by-step explanation:
The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros. This parabolic curve opens up and has its vertex (minimum) at (-1, -1).
Answer: The graph has two zeros.
Step-by-step explanation:
The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.
y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.
You can see the height degree of the function is 2.
Therefore, there should be two zeros of the function.
According to the given graph of parabola has two zeros at x = -2 and x = 0.
The graph cross the x-axis at x = -2 and x = 0.
Hence, the graph has two zeros.
Answer is A. The graph has two zeros
Gianna draws a rectangle on a piece of grid paper. She wants to know the side length of each grid square. Which equation can Gianna use to find the side length, s , of one square.
Answer: the answer is 213.4
Stepby-step explanation:
First you multiply 10.8 and 19.8 then your done
Answer:
10.8 ÷ 6
1.8
Step-by-step explanation:
what is the measure of angle dcu
I need more info
Step-by-step explanation:
I can help If i had more info
What is the surface area and volume of this shape?
Answer:
894.14 mm^2.
Step-by-step explanation:
i did this.
