Answer:
5)42º
6)112º
7)112º
8)38º
Step-by-step explanation:
m<6 180-68=112
m<5 180=26+112+x 42=x
m<7 is congruent to m<6
m<8 180=30+112+x 38=x
Please help me on this it’s due
================================================
Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]
Do the same for the other mixed number 2 & 1/3.
[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]
-----------------------
From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]
The last step is to convert that result to a mixed number.
[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
-----------------------
Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.
the acute angles of the right isocoles triangle are congruent you rotate the triangle 135 counterclockwise about the origin
Answer:
45°
4 units
Step-by-step explanation:
Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.
The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.
The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.
An Investment of $10,000 yields 8% interest compounded quarterly.
What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?
An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4a. we are to determine the amount of the accumulated capital after 6 months.
i.e. when time (t) = 6 months.Now, using the formula for calculating the amount value of the accumulated capital:
[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]
[tex]\mathbf{A = 10000(1.02)^2}}[/tex]
A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
i.e. when time (t) = 5 years[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]
[tex]\mathbf{A = 10000(1.02)^20}}[/tex]
A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
Learn more about compound interest here:
https://brainly.com/question/14295570?referrer=searchResults
Use the definition f(a) = lim x->a f(x) - f(a)/(x-a) to find the derivative of the given function at the indicated point.2) F(x) =-8 -×2, a = 2. A.) 2 B.) -2 c.) -4 d.)4
Answer:
B
Step-by-step explanation: HOPE IT HELP
What's the answer guys?
Answer: 14.4p - 2.2q + 4.3r
Step-by-step explanation:
(8.8p + 5.6p) + (6.2q - 8.4q) + (-1.8r + 6.1r)
= 14.4p - 2.2q + 4.3r
please give me a brainliest answer
Conner walked 10 miles in 5 hours. What was his walking rate in miles per hour?
Answer:
Step-by-step explanation:
Hi there!
According to the question;
Distance (d)= 10 miles
Time (t) = 5 hours
Now;
Rate = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{5}[/tex]
Therefore, the rate of his walking rate in miles per hour is 2miles per hour.
Hope it helps!
What is the image of the point (-9,-1) after a rotation of 270 counterclockwise about the origin?
Answer:
uhh I'm pretty sure it's (9,1) went from quadrant 3 to 2 which is all positives
guys pls help me!!!!!!
Answer:
x=32
Step-by-step explanation:
Could you help me out?
-1 5/6 x 4 6/1
a -11/25
b -9
c 1
d -7 23/36
Answer:
The answer is not there.
Step-by-step explanation:
-1 5/6 x 4 6/1
-(1 x 6 + 5/6) x (4 x 1 + 6)
-11/6 x 10
-110/6
Simplified
-55/3 or -18 1/3
Can someone help me.
Answer:
see explanation
Step-by-step explanation:
substitute the values of x in the table into g(x)
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
g(- 2) = [tex]4^{-2}[/tex] = [tex]\frac{1}{4^{2} }[/tex] = [tex]\frac{1}{16}[/tex]
g(- 1) = [tex]4^{-1}[/tex] = [tex]\frac{1}{4}[/tex]
g(0) = [tex]4^{0}[/tex] = 1
g(1) = [tex]4^{1}[/tex] = 4
g(2) = 4² = 16
A cube has an edge length of 21 cm. What is the volume?
o 212 cm3
o 6 x 21 cm
o 213 cm
o 3x21 cm3
Answer:
Step-by-step explanation:
Volume = 21^3 cm^3.
Nathan usually drinks 38 ounces of water per day. He read that he should drink 71 ounces of water per day. If he starts drinking 71 ounces, what is the percent increase?
Answer:
104
Step-by-step explanation:
Answer:
87%
Step-by-step explanation:
Kylie is excited to learn how to ski. She went to Snowy Heights Mountain, rented a pair of skis for $35, and took 5 hours of group skiing lessons. Kylie paid $175 in all. How much does Snowy Heights charge for each hour of group skiing lessons?
Answer:
5x + 35 = 175
$28
Step-by-step explanation:
She paid 35 for 1 pair of skis. She paid a certain amount(x) for 5 hours (5x + 35). Therefor making the expression 5x + 35 = 175.
Then, solve the equation with inverse operations.
5x + 35 = 175
Step 1: Subtract 35 from both sides.
5x = 140
Step 2: Divide 5 from both sides.
x = 28
Therefore, Kylie paid $28 each hour of the group skiing lessons.
The length and breadth of a rectangles are in the ratio 8:5. If its perimeter is 104cm, find the length of the rectangle
20.8 cm
so sorry if incorrect :(
HELP HELP HELP HELP HELP HELP
Step-by-step explanation:
You can take the numerator as one factor and 1/denominator as another.
Just an example:
a(x + 2) and 1/(a(x - 1)), with a rational value of a ≠ 0.Let a = 1, then the following product will give what we have
(x + 2) × 1/(x - 1) = (x + 2)/(x - 1)b] In the opposite figure : XYZL is a square, XZ = 10 cm. , m(L XZY) = 43° Calculate the perimeter of triangle XYZ
Answer:
Perimeter of Δ XYZ = 24.13
Step-by-step explanation:
In Δ XYZ is a right triangle because the XYZL is a square. Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.
Using the trig ratios:
XY = opposite/ hypotenuse which is Sin 43°
Sin 43° = XY/ 10
10(Sin 43°) = XY
6.82 = XY
YZ = adjacent/hypotenuse which is Cos 43°
Cos 43° = YZ/10
10(cos 43°) = YZ
7.31 = YZ
Now the Perimeter = XY + YZ + XZ
Perimeter = 6.82 + 7.31 + 10
Perimeter = 24.13
1 4/5-1/3 divided by 2 2/5
Answer:
THIS MATH WEBSITE HELPS A LOT, TYPE YOUR QUESTION AND IT'LL ANSWER IT LOL
Step-by-step explanation:
wish you the best! gl!
Are the two lines parallel?
If so, then what is the slope?
Yes, and the slope is 2.
Yes, and the slope is 5/2
res, and the slope is 2/5
No, They are not parallel
Answer and Step-by-step explanation:
(3rd option) The two lines are parallel, and they have a slope of [tex]\frac{2}{5}[/tex].
First, we can see that the two lines look parallel (meaning that if you were to go beyond what the graph shows (unless the graph shows an intersection), the lines at no point will intersect).
Second, If you found the slope of each line as well, (slope = rise over run, count up and then count right in this scenario from any point), they are the same, meaning they must be parallel to each other.
#teamtrees #PAW (Plant And Water)
I hope this helps!
5. Calculate the area of the shaded region in the diagram if ABCD is a rectangle. 8 B 4 A 5 3 6 8 D 9 3 C
Answer: 61 unit^2
Step-by-step explanation:
ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.
The four triangle areas:
TriD = 36
TriA = 6
TriB = 20
TriC = 9
Total area = 71 square units.
Subtract this from the rectangle's area: 132 - 71 = 61 units^2
This is the area of the shaded trapezoid.
PRE- CALC MATH HELP
100 Points and Brainlist.
if PDF doesn't work Follow the link in my comments
Follow the link for question
i cant see the pdf???????????????
look at the figures how can u prove the triangles are congruent is it
A)
B)
C)
Answer:
ABC by the SSS postulate
ASA rule shows 1 side is congruent and 2 angles congruent
SAS rule shows 2 sides are congruent and 1 angle congruent
SSS rule shows 3 sides are congruent as angles already proven ASA and SAS
THERES A PHOTO HELP ME PLS
Suppose you graph the point's time and distance and your friend graphs distance time how will your grass be different
Answer: ABC EASY AS 123
Step-by-step explanation:
Dilate the image by k=1/4
At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.
How many pounds of ground beef will be needed this year if 120 hamburgers are to be made?
30 lb
45 lb
50 lb
55 lb]
Answer:
46lb
Step-by-step explanation:
you take twenty five divide by one twenty
Answer:
30lbs your awnser is that 30 pounds
-2 1/3+(1 3/4 I need help for a test so if you guys can help me I'll be happy :D
Can you determine each slope-intercept equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
Once AGAIN!
Answer:
Step-by-step explanation:
maths giving 10 point asap 1 question only
Solve the following linear equations :
(i) x + 2 = 5x
→ 2 = 5x - x
→ 2 = 4x
→ x = 4/2
→ x = 2
(ii) 3(n - 1)/2 = n - 4
→ 3 × (n - 1)/2 = n - 4
→ 3n - 3/2 = n - 4
→ 3n - 3 = 2(n - 4)
→ 3n - 3 = 2 × (n - 4)
→ 3n - 3 = 2n - 8
→ 3n - 2n = -8 + 3
→ n = -5
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄area of photograph 875cm2 and area of puzzle 2385cm2 length 35 workout the length
Answer:
https://sooddan.zendesk.com
Find the value of X.
Answer:
X=25
Step-by-step explanation:
The angle of (x+30) is the same as the angle of 55. Simply subtract 30 from 55.