What is the measure of the base of the rectangle if the area
of the triangle is 32 ft2 ?
Answers
Answer:
it would be a
Step-by-step explanation:
8x4=32
The base of the given triangle is calculated as: 16 ft
How to find the area of a triangle?The formula that is used to calculate the area of a triangle is expressed as:
Area of triangle= ½ × base × height
We are given that:
Area = 32 ft²
Height = 4 ft
Thus:
32 = ½ × base × 4
32 = 2 * base
base = 32/2
base = 16 ft
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Related Questions
Does anybody understand this? QSRT is a Rectangle and SQR=55
Answers
Answer:
90°; 55°; 35°; 110°; 70°
Step-by-step explanation:
A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.
Each of the triangles is isosceles. The figure is symmetrical about its center.
An exterior angle to a triangle is equal to the sum of the remote interior angles.
__
∠SRT = 90° . . . . a corner angle
∠STR = 55° . . . . symmetrical to the given angle
∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°
∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP
∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT
_____
There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.
The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.
A bicycle store costs $2200 per month to operate. The store pays an average of $40 per bike. The average selling price of each bicycle is $80. How many bicycles must the store sell each month to break even?
Answers
Answer:
Step-by-step explanation:
120n=2400+60n is break-even point
60n=2400
n=40 bikes need to be sold monthly to break even!!!!!!!!!!!!
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (negative 2, 3) and (0, negative 1). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (1, 0). Everything to the right of the line is shaded.
Which inequality pairs with y≤−2x−1 to complete the system of linear inequalities represented by the graph?
y<−2x+2
y>−2x+2
y<2x−2
y>2x−2
Answers
Answer:
To graph the inequality
y < 2x - 5
we graph the dashed boundary line y=2x-5 with a positive slope of 2 and y-intercept (0,-5) and shade everything to the right.
To graph the inequality y>-3x+1, we graph the dashed boundary line y=-3x +1 with y-intercept (0,1) and shade every above it.
The intersection of the two shadings is the solution to the system of inequalities:
y < 2x - 5
and
y > -3x + 1
Margo's parents started a savings account when she started highschool. They put in $12,500 to start. If the account earns 7% simple interest every year, How much will she have after 4 years?
Answers
Answer:
probably bout like 4 dollars
Step-by-step explanation:
For a standard-position angle determined by the point (x, y), what are the values of the trigonometric functions?
For the point (9, 12), find csc θ and sec θ.
A. csc θ = 5/4, sec θ = 5/3
B. csc θ = 5/4, sec θ = 4/5
C. csc θ = 3/5, sec θ = 4/5
D. csc θ = 3/4, sec θ = 3/5
Answers
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
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The triangle below is equilateral. Find the length of side a in simplest radical form
with a rational denominator.
Answers
By using the Pythagorean theorem, we conclude that side x measures (5/2)*√3 units.
How to find the length of side x?
In the image, we can see that the equilateral triangle can be divided into two right triangles.
If each side of the equilateral triangle measures 5 units, then for the right triangles we will have that the hypotenuse measures 5 units, and the bottom side measures half of that: 2.5 units.
Now remember the Pythagorean theorem. It says that the sum of the squares of the cathetus is equal to the square of the hypotenuse. Then we will have:
[tex]x^2 + 2.5^2 = 5^2[/tex]
[tex]x = \sqrt{5^2 - 2.5^2} = \frac{5}{2}\sqrt{3}[/tex]
Then we conclude that side x measures (5/2)*√3 units.
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If (product ) > 20 then (product) - 27 else if (product) < 10, then (product) + 2 else (product) - 6
Answers
AnsweB i think
Step-by-step explanation:
Ineed answers for this math review
Answers
Find the perimeters of all the figures. = ADD all four sides of shape.
(Length + Width + Height + Base)
For which shape is 180 degrees the smallest angle of rotational symmetry?
Answers
Answer:
the sun
Step-by-step explanation:
hope this helps
which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7
Answers
Answer:
noneStep-by-step explanation:
which expression is equivalent to 2^2 x 2/24
a. 2^-2
b.2^-1
c.2^6
d.2^7
2^2 * 2/24 =
4 * 2/24 =
4 * 1/12 =
1/3
then
1/3 = 0.33
find equivalent
a) 2^-2 = 0.25
b) 2^-1 = 0.5
c) 2^6 = 64
d) 2^7 = 128
What is the solution to the equation
m - 8 = 12
Answers
Answer:
m= 20
Step-by-step explanation:
add 8 to both sides,
12+8=20
please please help!!! see attached questions I WILL VENMO YOU ( i’m not sure if the first one is right)
Answers
Answer:
Your first answer is correct.
Second question: 300 ft.
Step-by-step explanation:
2nd problem, create a proportion.
[tex]\frac{220}{x}=\frac{305}{416} \\305x = 91520\\\frac{305x}{305}= \frac{91520}{305} \\x=300[/tex]
Verify whether x ≤ 3 is the solution to the inequality 7x ≥ 20x - 39.
Answers
Answer:
Yes, it is correct.
Step-by-step explanation:
7x≥20x-39
39≥13x
x≤39/13
x≤3
What is the slope of the line shown below?
Answers
1/6
Step-by-step explanation:
Answer:
B. 6
Step-by-step explanation:
(y1 - y2) ÷ (x1 - x2)
(6 - 3) ÷ (12 - (-6))
3 ÷ 18 = 6
hope this helps
have a good day
Distribute to create an equivalent expression with the fewest symbols possible.
(1 - 25 +4h) - 5 =
Answers
Answer:
4h - 29
Step-by-step explanation:
[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]
You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)
First one to answer, i will mark brainlist
Answers
Answer:
WX < YW < XY
Step-by-step explanation:
Angle sum propertySum of all angles of triangle = 180
114 + 53 + ∠y = 180
167 + ∠Y = 180
∠Y = 180 - 167
∠Y = 13
The side opposite to smallest angle is shortest.
Angles in ascending order: ∠Y < ∠X < ∠W
Sides in ascending order: WX < YW < XY
I need help pleaseeeeee I do not know what to do here
Answers
Answer:
[tex]A = 256[/tex]
Step-by-step explanation:
Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:
[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]
Now that we have the side length, we can find the area of the square:
[tex]A = l^2\\A = 16^2\\A = 256[/tex]
Answer:
256 in²
Step-by-step explanation:
Area of a Hexagon (To find side length)
A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 inArea of square
Area = (Side length)²Area = (16)²Area = 256 in²If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answers
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
What transformations would result in the image shown?
Δ ABC is reflected over both axes.
Δ ABC is reflected over the y-axis and translated down 5 units.
Δ ABC is reflected over the x-axis and translated right 5 units.
Δ ABC is translated right 5 units and down 5 units.
Answers
HELP ME WITH THIS STORY PROBLEM SOMEONE
There are 5 posts supporting the guardrail for the steps to your home. The tallest post is 3 feet tall. The height of each of the other posts is 5/6 the height of the next larger post. Write an expression for the height of the shortest post. What is the height of the shortest post?
(also show work)
Answers
Answer:
3(5/6)^4
Step-by-step explanation:
The heights are changing by a constant factor. g1 is the first term, r is the common ratio, and n is the term number. Since the tallest pole is 3 ft so itll be g1=3. Heights are decreasing by 5/6 so r=(5/6). Since there are 5 posts shortest post will be n=5. Expression for the shortest pole is g5=3(5/6)^5-1 it simplifies to the answer
The dance committee hired a DJ for the fall dance. The DJ charges
$125 per hour in addition to $55 for an assistant. The committee
wants to keep the total cost under $600. Which inequality represents
the maximum amount of hours the DJ will play at the dance?
Answers
Answer: 4 hours
Step-by-step explanation:
4 Hours
Explanation:
Make h = hours
You add the $55 extra cost for the assistant
$125h + $55 = $555
Use additive inverse to isolate the term with the variable
$125h + $55 - $55 = $555 - $55
Use multiplicative inverse to isolate the variable
[tex]\frac{125h}{125}[/tex] = [tex]\frac{500}{125}[/tex]
Hours would be: 4 Hours.
I hope this helps! Please mark brainliest.
Find an integer x such that x, 56, 65 is a pythagorean triple
Answers
Answer:
x = 33
Step-by-step explanation:
The three numbers will be a Pythagorean triple if the sum of the squares of the first two is equal to the square of the third.
__
We want ...
x² +56² = 65²
x² = 65² -56² = 4225 -3136 = 1089
x = √1089 = 33
The value x = 33 will make (33, 56, 65) a Pythagorean triple.
The map uses a scale 1 inch = 880 ft. On the map, How many inches represent 2 miles?
PLS HURRY
Answers
Answer:
[tex]12\ inches[/tex]
Step-by-step explanation:
Step 1: Determine how many ft are in 2 miles
[tex]1\ mile = 5280\ ft[/tex]
[tex]2\ miles = 5280\ ft * 2[/tex]
[tex]2\ miles = 10560\ ft[/tex]
Step 2: Determine how many 880 ft's are in 10560 ft
[tex]10560\ ft / 880\ ft[/tex]
[tex]12[/tex]
Answer: [tex]12\ inches[/tex]
A television game show has 12 doors, of which the contestant must pick 2. Behind 3 of the doors are expensive cars, and behind the other 9 doors are consolation prizes. The contestant gets to keep the items behind the 2 doors she selects. Determine the probability that the contestant wins at least one car.
Answers
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
[tex]\blue{———hope it helps———}[/tex]
[tex]\large{ \pink{ \underline{ { \sf{Answer}}}}}[/tex]
[tex]the \: answer \: is \: \frac{1}{10} [/tex]
Need help:
Find the distance between A
and B
Answers
Answer:
2.6
Step-by-step explanation:
A= -1.3
B=1.3
1.3--1.3=2.6
Answer:
2.6 units
Step-by-step explanation:
If you round down the distance is 2. then you all the 2 decimals 0.3 and 0.3 to get 2.6 units.
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month. how do you think she should budget for the camera?
Answers
The number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Rita wants to save her babysitting money to buy a $249.99 camera. she makes $64.33 a month, and her fixed expenses are $34.50 a month.
Let x be the number of months in which Rita has a budget to buy a camera.
The linear equation in one variable can be framed as follows:
(64.33 - 34.50)x = 249.99
29.83x = 249.99
x = 8.38 = 8.5
Thus, the number of months in which Rita has a budget to buy a camera is 8 and a half months if Rita wants to save her babysitting money to buy a $249.99 camera.
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Which equation is y = 9x2 9x – 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths
Answers
Answer:
A
Step-by-step explanation:
Rachel's nails grow at a rate of 1/8 inch per week. How long will take her nails to grow 6 inches?
Answers
Answer:
48 weeks
Step-by-step explanation:
This is a division problem.
6 / (1/8) = 6/1 × 8/1 = 48
Answer: 48 weeks
5. Which theorem justifies the statement in No. 4?
A. Exterior Angle Inequality theorem B. Triangle Inequality Theorem 1(Ss-Aa)
C. Triangle Inequality Theorem 2(Aa-Ss)
D. Triangle Inequality Theorem 3(S₁ + S₂ > S3)
Answers
Answer:
D
Step-by-step explanation :
There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?
Answers
The probability of picking a blue counter from the bag is 1 / 13.
What is the probability?The number of counters initially in the bag:
white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10The number of counters now in the bag:
white counters = 11pink counters = (5 + x) / 26 = 1/213/26
x = 13 - 5 = 8
blue counters = 26 - 13 - 11 = 2Probability of picking a blue counter = number of blue counters / total number of counters
2/26 = 1 / 13
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