What is the measure of \angle D∠Dangle, D?
Answer:
63⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 17 options: A) A cross section cut parallel with the bottom B) A cut parallel to the vertical axis, but off the vertical axis C) A cut parallel to the vertical axis, directly through the vertical axis D) Cutting off one of the bottom corners
Answer:
B
Step-by-step explanation:
Cut vertical but off vertcal axis.
A will produce a square and C and D will produce triangles.
A. Determine the number of diagonals that can be drawn in each polygon.
1. Triangle
2. Pentagon
3. 15-sided polygon
4. 18-sided polygon
Answer:
Here is your answer...
Step-by-step explanation:
1. Triangle = 0
2. Pentagon = 5
3. 15-sided polygon = 90
4. 18-sided polygon = 135
Please help. ASAP. This is so confusing.
1. right triangle?
-> c²= g²+b²
c²= 20²+21²
c²= 841
c=V841
c=29
-> triangle BCG is right
2.
cos B= 20/29
tan B= 21/20
sin B= 21/29
sin G= 20/29
cos G= 21/29
tan G= 20/21
Select all the expressions that are equivalent
Answer:
B, C, D
Step-by-step explanation:
One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...
[tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]
Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.
[tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]
Of course, that repeated multiplication can be shown explicitly:
[tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]
The equivalent expressions to 4^(-3) are B, C, D.
_____
Additional comment
The expression of G evaluates to ...
[tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]
Find the angle which is vertical to angle 5 and write your result in the empty box.
Answer:
< 2.
Step-by-step explanation:
< 2 is vertical to < 5.
In the UK we say they are opposite angles, which, to me, makes more sense.
HEL;P PEWLASE PEALSE
[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]
5. Mount Logan in the Yukon is 3. 702 miles high. Mount McKinley in Alaska is 3. 848 miles high and Pico de Orizaba in Mexico is 3. 571 miles high. Order these mountains by height from greatest to least. *
1 point
Logan, McKinley, Pico de Orizaba
McKinley, Logan, Pico de Orizaba
Pico de Orizaba, Logan, McKinley
Logan, Pico de Orizaba, McKinley
Answer:
McKinley, Logan, Pico de Orizaba
Step-by-step explanation:
Green had d dollars. He spent $821 on a new TV. Now he has $121 left. How much money did he have before he bought a TV?
Find the digit 5 in each of these numbers.
15.2
3.5
The 5 in 3.5 is 1 place to the right of the 5 in 15.2.
Which sentence correctly compares the values?
each number has its place on the number line so true
Step-by-step explanation:
and 5 is one place to the left in 15.2
Help does this even make sense
Answer:
You can set two simultaneous equations and solve it
Let the cost of a plate be x, and the cost of a cup be y.
5x + 4y = 19.6 --- 1
6x + 5y = 23.8 --- 2
25x + 20y = 98 --- 3
24x + 20y = 95.2 --- 4
3 - 4 : x = 2.8
Sub x = 2.8 into 1
5(2.8) + 4y = 19.6
4y = 5.6
y = 1.4
so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars
hope this helps!!! please mark brainliest!!!!
HELPPPP really quick
Answer:
y= 4 - 2/3 x, x= x
Step-by-step explanation: Substitute y=4 -2/3x [2x=12-3 (4-2/3x)]
Simplify: [2x=2x]
For y = 4- 2/3x
Expressing y in terms of x: y= 4 -2/3x
So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x
The top and bottom lines are parallel. what is the value of X?
Answer:
B, the answer is B or C believe me
Step-by-step explanation:
AN
O A. SAS
DB. HL
O C. LL
O D. ASA
O E. LA
F. AAS
SUBMIT
Answer:
Its SAS( side angle side) axiom.
0.6 greater than 0.59?
Answer:
Yes, 0.6 is greater than 0.59.
Step-by-step explanation:
The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.
If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?
Answer:
c
Step-by-step explanation:
What number should be subtracted from (3/4+-1/3) to get 1/4
Answer:
5/6
Step-by-step explanation:
( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12
13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6
13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4
Select the correct answer from the drop-down menu. consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. the values 11, 31, 22, and 12 constitute a random sample drawn from the data set. the sample mean is more than the population mean by .
The correct answer from the drop-down menu is 3.5.
What is the mean value?The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.
Therefore the population mean is the sum of the 12 data set values divided by 12
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean
= 186/12
= 15.5.
The sample mean is given by the sum of the 4 sample values divided by 4
11 + 31 + 22 + 12
Sum = 76.
Therefore the sample mean
= 76/4
= 19.
The sample mean is more than the population mean by
= 19 - 15.5
= 3.5.
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The equation y+4x=100 represents your distance y (in meters) from the finish line x seconds after you begin your leg of a relay race. The equation y+3.5x=96 represents your opponent’s distance from the finish line. How far do you need to run until you catch up to your opponent?
A boat heading out to sea starts out at Point A, at a horizontal distance of 1465 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 13º. At some later
time, the crew measures the angle of elevation from point B to be 8°. Find the
distance from point A to point B. Round your answer to the nearest foot if
necessary.
By using what we know about right triangles, we will see that the distance is 1479.4 ft
How to find the distance between point A and point B?We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.
Then we use the relation:
Cos(a) = (adjacent cath)/(hypotenuse)
cos(8°) = (1465 ft)/(distance)
distance = (1465ft)/cos(8°) = 1479.4 ft
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what is the mean of the data set 17,9,11,7
Answer:
11
Step-by-step explanation:
Mean - add all the numbers up and divide by the amount of numbers you have.
Add all the numbers up-
17 + 9 + 11 + 7 = 44
Divide by the amount of numbers you have, since you have 4, divide by 4
44/4 = 11
11 would be your answer!
I hope it helps! Have a great day!
Muffin ^^
Classify each of the following angles as acute, obtuse,right,straight, or reflex
Answer:
The first one is obtuse because it is larger than 90 degrees.
The second one is reflex shown below:
Step-by-step explanation:
help! (pic below, choices r A or B!)
Mr. Vance opened an account with a deposit of $650.
• The bank pays 1.25% interest compounded annually on this account.
• Mr. Vance makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 12 years?
Answer:
$104.49
Step-by-step explanation:
The future value of the account is given by the formula ...
FV = P(1 +r)^t
The interest earned is the difference between that future value and the original amount deposited.
I = FV -P
__
For the given investment, rate, and time, we find the interest to be ...
I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49
Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.
How was it determined that the base is 8 units long and the height is 3 units?
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation:
[tex]\tt If\;\; \sqrt[3]{x}+a=b,\:then \; x=[/tex]
Answer:
[tex]x=(b-a)^{3}[/tex]
Step-by-step explanation:
Subtract ‘a’ from both sidesThis gives [tex]\sqrt[3]{x}=b-a[/tex]Cube both sidesThis gives [tex]x=(b-a)^{3}[/tex]Answer:
x = b³ - 3b²a + 3a²b - a³
Step-by-step explanation:
Given:
[tex]\sqrt[3]{x} + a = b[/tex]
To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.
Subtract "a" both sides to isolate ∛x:
[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]
[tex]\implies \sqrt[3]{x} = b - a[/tex]
Cube both sides to remove the cube root on the L.H.S:
[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]
[tex]\implies x= (b - a)^{3}[/tex]
Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³
[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]
[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]
Thus, the value of x is b³ - 3b²a + 3a²b - a³.
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth of $3.20 per pound. what is the cost per pound of the blend?
$4.04 is the answer.
30 x $6.00 = $180
70 x $3.20 = $224
$180 + $224 = $404
404/100 = $4.04
The cost per pound of the blend will be $4.04.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.
Then the cost per pound of the blend will be
⇒ 30 x $6.00 + 70 x $3.20
⇒ $180 + $224
⇒ $404
The cost per pound of the blend will be
⇒ $404 / 100
⇒ $4.04
The cost per pound of the blend will be $4.04.
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how many degrees is 7/9 of a semicircle
Answer:
140
Step-by-step explanation:
A semicircle is 180 degrees
7/9x180=140
Answer: 7/9 degrees = 0.00216 cir
Step-by-step explanation:
The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)
I need help please, Its for today
Answer:
a) 1,2; 3.4
b) <1=<6, <6+<6+72=180, 2<6=108, <6=54.
<1=54
You can tell this by "these are parallel lines"
Marina is spinning a spinner with 15 equal sectors labeled 1 through 15. What is P(factor of 10)? 115 415 13 23
Answer:
4/15
Step-by-step explanation:
Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.
We have to find the probability P(factor of 10)
The factors of 10 are 1, 2, 5, and 10.
Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).
Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:
P(factor of 10) = 4/15
Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.
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