ABCD is a rhombus. The measure of angle <1 = 58°
true
or
false
Answer:
False
Step-by-step explanation:
In a rhombus, the diagonals are always perpendicular.
A square has a diagonal measuring 19 centimeters in length.which of the following is closest to the length of each side of the square?
Answer:
13cm
Step-by-step explanation:
Let the length of each side be x;
Using the pythagoras theorem
l² = x² + x²
l is the length of the diagonal
l² = 2x²
19² = 2x²
361 = 2x²
x² = 361/2
x² = 180.5
x =√180.5
x = 13
hence the length of each side of the square is closest to 13cm
What is the median of this data set?
Help!!!!!
Answer:
60
Step-by-step explanation:
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2
Answer:
The distance is of 10.8 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
C(-5,4) and D(5,8). So
[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]
The distance is of 10.8 units.
find the value of X in the triangle shown below
Answer:
62.
Step-by-step explanation:
The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
7)
Barry has several horses in a field. The
fence around the field is in the shape of
a rectangle. The width is 8 kilometers
and the length is 15 kilometers. The
length of the diagonal is
A 16 km
B 17 km
C 19 km
D 23 km
Answer:
I think the answer should be D) 23 km but if its wrong my bad
Step-by-step explanation:
please help with this asap thank you
Answer:
Distributive Property
what is the first step to solve this equation: 11 - 3i = 44
Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
Jane earns $2100 per month, plus a 3.5% commission on sales. If she has $42,000 in sales for December, what is her total salary for the month?
Answer:$3570
Step-by-step explanation:
42000x0.035=1470
2100+1470=3570
please no link answers
Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR
compounded monthly for a period of 20 years. How much money will Phillip
be paid each month?
A. $6159.31
B. $5368.43
C. $5200.00
D. $6389.29
The compounded amount after 10 years would be $1,458,293.87.
What is the formula to calculate the compound interest?The formula to calculate the compound interest is -
[tex]$A =P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Phillip decides to invest $800,000 in a period annuity that earns 5.2% APR compounded monthly for a period of 20 years.
We can calculate the compounded amount as -
A = 800000(1 + 0.052/12)^(12 x 20)
A = 1,458,293.87
Therefore, the compounded amount after 10 years would be $1,458,293.87.
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Answer: B. 5368.43
Step-by-step explanation:
Take my word.
Marcie conducts an experiment with a bag of marbles. She draws one marble from the bag, records its color, returns the marble to the bag, and draws again. The results of her experiment are shown below.
Marble Color Number of
Times Drawn
red 5
blue 6
green 4
purple 1
yellow 4
Based on Marcie’s experiment, what proportion of the marbles in the bag would she expect to be purple?
A.
20%
B.
5%
C.
1%
D.
10%
Answer:
B. 5%
Step-by-step explanation:
add them:
5 + 6 + 4 + 1 + 4 = 20
now use it to divide from the number of times purple is drawn = 1 so,
1/20 = 0.05 = 5%
Type you answer in
Amy worked 37.5 hours last week.
She is paid £11.50 per hour.
Her total deductions last week were
£116.30.
What was Amy's net pay last week?
Answer:
Step-by-step explanation:
A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.
Answer:
345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people
Step-by-step explanation:
What is the measure of op С : 429 180°
Answer:
90
Step-by-step explanation:
the angles that are on the opposite side are same
LEARNED THIS IN FOURTH GRADE
I'm still in fourth grade
my math teacher taught us this separately.
I go to School for the Highly Gifted in Grand Prairie, Texas
X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.
Answer:
On the diagram, construct lines BY, XY and DY.
Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.
BX=DX
AB+radius = CD +radius
AB=CD
Solve the formula Ax + By = C for A
Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?
No, this is not a right triangle.
Yes, because ED is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to DT which makes a right angle.
Yes, because TE is perpendicular to ED which makes a right angle.
Answer:
B. Yes, because ED is perpendicular to DT which makes a right angle.Step-by-step explanation:
Plot the given points and connect in pairs to get a triangle.
Visually we can say it is a right triangle as legs TD and ED seem perpendicular.
Let's confirm this by finding the slopes.
Slope of TD:
m = (-1 - 4)/(1 -(-2)) = -5/3Slope of ED:
(-1 - 2)/ (1 - 6) = -3/-5 = 3/5Product of the slopes is:
-5/3*3/5 = -1This confirms DT⊥ED
Correct choice is B
Identify two correct names for the angle below.
What is 468,839 rounded to the nearest hundred thousand?
Step-by-step explanation:
468,839 rounded to the nearest hundred thousand ( 100,000 ) would be 500,00 since its above 50 and its 68.
Hopes this helps :)
Aubrey is going to invest $160 and leave it in an account for 7 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Aubrey to end up with $220?
Answer:
4.5%
Step-by-step explanation:
compound interest formula:
[tex]PV(1+\frac{i}{n})^{t*n}[/tex]
[tex]220=160(1+\frac{x}{365})^{365*7}\\\\1.375=(1+\frac{x}{365})^{2555}\\1.0001246=1+\frac{x}{365}\\x=.0454962254126[/tex]
this rounds to
x=4.5%
Aubrey would need an interest rate of 6.3%.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
A = P [tex](1 + r/n)^{nt}[/tex]
A = the final amount (in this case, $220)
P = the initial investment (in this case, $160)
r = the interest rate (what we are trying to find)
n = the number of times the interest is compounded per year (since it's compounded daily, n = 365)
t = the time period (in years, in this case, 7)
Substituting in the given values and solving for r:
220 = 160(1 + r/365)^(3657)
220/160 = (1 + r/365)^(3657)
1.375 = (1 + r/365)^2555
ln(1.375) = 2555 ln(1 + r/365)
ln(1 + r/365) = ln(1.375)/2555
1 + r/365 = e^(ln(1.375)/2555)
r/365 = e^(ln(1.375)/2555) - 1
r = 365(e^(ln(1.375)/2555) - 1)
r ≈ 6.3%
Therefore,
Aubrey would need an interest rate of 6.3%.
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Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.
Answer:
Angle A = 17°, Angle B = 73°
Step-by-step explanation:
Angle A & Angle B are complementary angles (given) so they will form 90°.
Let's take,
Angle A = x
Angle B = 4x +5 (angle B is five degrees more than four times angle A)
Measure of each angle=?
Angle A + Angle B = 90°
x + 4x + 5 = 90
5x + 5 = 90
5x = 90 - 5
5x = 85
x = 85 ÷ 5
x = 17°
Angle A = x = 17°
Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°
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what is 20 x 3-4 + 80 / 988 + 444444 x 343
help I have already published it 3 times and nobody helps me, could someone help me and explain how to do it? Thank you
9514 1404 393
Answer:
3) 74°
4) 260°
Step-by-step explanation:
3) Angle CAE is vertical to angle FAB, which is shown as 121°. Vertical angles are congruent. So, we have ...
∠DAE +∠DAC = ∠EAC
∠DAE + 47° = 121° . . . . . . . fill in known values
∠DAE = 121° -47° . . . . . . . . subtract 47°
∠DAE = 74°
__
4) arc MJL is the long arc that completes the circle along with short arc MJ. Short arc MJ has the same measure as its central angle, 100°. Then long arc MJL is 360° -100° = 260°.
arc MJL = 260°
Which angles are vertical angles and, therefore, congruent?
ILL MARK BRAINIEST
Answer: <A and <F
Step-by-step explanation: Verticle angles are angles that are on opposite sides of each other therefore having the same angle.
Evaluate the expression: -(8 - 12) + 6° + (-4)2.
Answer:
-4 + 6°
Step-by-step explanation:
- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°
The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?
a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs
Answer:
C. To control both unintentional research bias and participant prior beliefs
Step-by-step explanation:
Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.
Thus,the correct answer is option C as it includes both the researcher and the participants