The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units
Answer:
The area of a triangle is 1/2BH, or 1/2 times the base times the height.
If the area = 6, and B and H must both be whole numbers.
The area of the triangle ΔSTU is given by A = 12 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle ΔSTU be represented as A
Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units
So , the base of the triangle ΔSTU = 6 units
The height of the triangle ΔSTU = 4 units
So , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
The area of triangle ΔSTU = ( 1/2 ) x 4 x 6
The area of triangle ΔSTU = 12 units²
Therefore , the value of A is 12 units²
Hence , the area of the triangle is 12 units²
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ3
The complete question is attached below :
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
Answer:
the correct answer is
229/479 = 0.48
The probability that a randomly chosen person from this group is male is 0.48.
What is the probability that a male is chosen?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of choosing a male = number of males / total number of males and females
229/479 = 0.48
To learn more about frequency tables, please check: https://brainly.com/question/26577861
Please help me with the right Awnser
Answer:
40 m2
Step-by-step explanation:
96m² is your Answer:
Solution given:
base[b]=12m
height[h]=8m
we have
Area of parallelogram=b×h=12×8=96m²
If your grandmother had a cousin what would she be to you??
Answer:
Wouldn't he be like a second cousin or something?
Step-by-step explanation:
Answer:
I think she would be your second cousin.
Step-by-step explanation:
Hope this helps!!
Please mark this answer as Brainiest!!
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
The ratio of the length to the width to the height of an open rectangular tank is 10: 5: 8. The height is 18 feet longer than the width. What is the volume of the tank
Answer:
hi
Step-by-step explanation:
how are you
Answer: A: L: W: H = 10: 5: 8
Step-by-step explanation: The height of the tank is 18 feet longer than the width
H = 8 parts, W = 5 parts => 8 – 5 parts = 18 feet i.e. 3 parts = 18, 1 part = 6 feet
Hence, L = 10 * 6 = 60 feet
W = 5 * 6 = 30 feet
H = 8 * 6 = 48 feet
Volume = 60 * 30 * 48 = 86400 ft³
Surface Area = 2 * (30 * 60 + 48 * 60 + 30 * 48) =12240 ft²
I need help can someone help me pls
Answer:
D: 25 miles
Step-by-step explanation:
Pythagorean Theorem:
[tex]a^{2} + b^2 = c^2[/tex]
36^2 + b^2 = 39^2
1,296 + b^2 = 1,521
b^2 = 225
b = 25
Find the surface area of each figure. Round to the hundredths place when necessary.
Answer:
SA = 997.88 mm²
Step-by-step explanation:
height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36
height = √243.36 = 15.6
SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)
SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²
Ayuden porfa . Determine 4 ala potencia x + 4 la potencia -x si se sabe que 2 ala potencia x + 2 ala pontecia -x es igual a 3
Answer:
4ˣ + 4⁻ˣ es igual a 7
Step-by-step explanation:
4ˣ + 4⁻ˣ
Dónde;
2ˣ + 2⁻ˣ = 3
Nosotras tenemos
[tex]2^x + \dfrac{1}{2^x} = 3[/tex]
[tex]2^{2\cdot x} +1 = 3 \cdot 2^x[/tex]
[tex]2^{2\cdot x} - 3 \cdot 2^x +1 = 0[/tex]
Deje que 'a' represente 2ˣ, tenemos;
a² - 3·a + 1 = 0
a = (3 ± √(3² - 4 × 1 × 1))/2 = (3 ± √5)/2
∴ a = 2ˣ = (3 ± √5)/2
((3 ± √5)/2)^2 - 3×(3 ± √5)/2 + 1
x = ln(3 ± √5)/2/(ln(2))
4ˣ + 4⁻ˣ = 4^(ln((3 ± √5)/2)/(ln(2))) + 4^(-(ln((3 ± √5)/2)/(ln(2)))) = 7
∴ 4ˣ + 4⁻ˣ = 7.
Can Someone Help me, pls?
Answer:
6.25 <7
Step-by-step explanation:
Answer:
(1) [tex]x\leq 4[/tex]
(2) [tex]x\geq 4[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4[/tex] [tex]-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4[/tex]
A bag contains a mixture of 300 red and 75 yellow candies. If you choose one candy at random, what is the probability that it is yellow?
Answer: A solid 4% chance of picking a yellow
brainliest plz
Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:
(1 - P(A)) × P(B)
where P(A)=.8 and P(B)=.2
plugging in all things it would be
(1-.8)*.2
which equals .04 or 4%
PLEASE PLEASE HELP WITH THIS
Answer:
θ = 76°
Step-by-step explanation:
Using the cofunction identity
sinx° = cos(90 - x)°, then
sin14° = cos(90 - 14)° = cos76°
That is θ = 76°
Answer:
in radians o= 0.13716675
Step-by-step explanation:
cos(0)=0.9906074
O= arccos(0.9906074)
O=0.13716675
Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?
thousands
tens
tenths
thousandths
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
What is the area of a circle with a radius of 3 cm
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
A ≈ 28.27cm²Hope it helps!
Mark me brainliest pls......
Follow me! :)
Answer:
28.26
Step-by-step explanation:
Area of a circle:
A = πr²
A = 3.14(3²)
A = 3.14(9)
A = 28.26
Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2
Answer:
Step-by-step explanation:
-8x + 2y = 4
y = 4x + 2
Put the value of y into the first equation
-8x + 2(4x + 2) = 4 Remove the brackets
-8x + 8x + 4 = 4 The 8xs cancel out.
4 = 4 But this is useless. There is no single solution
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
Mr. Roy is scheduled to work less than 18 hours this week. He has already worked 7 hours. If x is the remaining number
of hours Mr. Roy could work this week, which inequalities represent the number of remaining hours
Mr. Roy could be
scheduled to work this week? Select all that apply.
A 2+7 > 18
B 2 + 7 < 18
C 2 +18 > 7
DI > 11
EI < 11
Answer:
x + 7 > 18
Step-by-step explanation:
Answer:
The answer should be B
Step-by-step explanation:
Assuming x is the 2 then 2+7 should equal 9 and 9 would represent less than the amount Roy wanted to work out which would be the ideal one for him since he wanted to work out less than 18 hours.
Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c
Answer:
ab=4c
Step-by-step explanation:
Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.
Answer:
ab=4c
Step-by-step explanation:
Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:
Say you have a x b = 5 x 5c
It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!
Use this picture to name one pair of ALTERNATE EXTERIOR angles: *
Answer:
angle 4 is congruent to angle 7
angle 8 is congruent to angle 3
angle 2 is congruent to angle 5
angle 1 is congruent to angle 6
Step-by-step explanation:
alternate exterior angles are congruent, which means identical
what is 3 13/20 as a decimal
Answer:
3.65
Step-by-step explanation:
What is another way to describe an event with a probability of 1?
Answer:
Likely to get it.
Step-by-step explanation
Do you mean 1% or 1? If 1 then it is likely to pick that.
If it is 1% then it's the opposite (unlikely) to pick that.
Hopes this makes sense!
Seamus has 9feet of fabric if his brother has one foot more than Seamus how many inches of fabric does Seamus brother have?
what is the input of arccos
Answer:
It returns the angle whose cosine is a given number.
Step-by-step explanation:
For every trigonometry function, there is an inverse function that works in reverse. These inverse functions have the same name but with 'arc' in front. (On some calculators the arccos button may be labeled arccos, or sometimes cos-1.) So the inverse of cos is arccos etc. When we see "arccos x", we understand it as "the angle whose cosine is x"
cos30 = 0.866 Means: The cosine of 30 degrees is 0.866
arccos 0.866 = 30 Means: The angle whose cosine is 0.866 is 30 degrees.
Use arccos when you know the cosine of an angle and want to know the actual angle.
find the value of x in this screenshot
Answer:
X=24
Step-by-step explanation:
3x+5+2x-4+2x+11=180
7x+12=180
7x=180-12
7x=168
7x/7=168/7
x=24
Please help I’ll mark brainliest
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
Combine like terms.
4n + 11 − 2n − 5
Hey there!
4n + 11 - 2n - 5
COMBINE the LIKE TERMS
= (4n - 2n) + (11 - 5)
= 4n - 2n + 11 - 5
= 2n + 6
Therefore, your answer should be:
2n + 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[tex] \sf \: 2n + 6[/tex]
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
Main steps included in solving,
→ Rearranging the expression.
→ Combining the like terms.
The expression is,
→ 4n + 11 - 2n - 5
Let's simplify the expression,
→ 4n + 11 - 2n - 5
→ (4n - 2n) + (11 - 5)
→ (2n) + (6)
→ 2n + 6
Hence, the answer is 2n + 6.
City A and City B are 540 miles apart on a map. The scale on the map is 1inch:60 miles. How many inches apart on the map should City A and City B measure. Explain how you would solve this problem. What would the final answer be?
Answer: 9 inch
Step-by-step explanation:
Given
Distance between city A and city B is 540 miles
Scale on the map is 1 inch: 60 miles i.e. 1 inch on the map is equivalent to 60 miles in the real situation
suppose the distance between city A and B on the map is x
[tex]\therefore \dfrac{1}{60}=\dfrac{x}{540}\\\\\Rightarrow x=\dfrac{540}{60}=9\ in.[/tex]
Therefore, the distance between city A and B is 9 in.
What is the length of side a? Round to the nearest tenth of an inch
Answer:
ok this is easy all it is 16-7=9 so a=9 so all it is 7x9=72 then its 72 divided by 2 so your answer is 36