to find the area of the figure, you first need to find the area of the separate figures: a triangle and a square.
first, find the area of the triangle:
multiply 13 and 5 to get 65.
divide 65 by 2.
32.5.
then, find the area of the rectangle:
multiply 5 and 14 to get 70.
add those answers up, and you get:
102.5
What integer represents a drop in temperature of 12°
Answer:
Integer; - 12
Step-by-step explanation:
If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;
At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;
Answer; - 12
Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
The price of technology stock has risen $9.62 today yesterday's price was $9.53 find the percentage increase round your answer to the nearest 10th of a percent
Answer:
0.9%
Step-by-step explanation:
To find the percentage increase, you can use the following formula:
Percentage change= ((Final price-Initial price)/Initial price)*100
Initial price= $9.53
Final price= $9.62
Variation= ((9.62-9.53)/9.53)*100
Variation= 0.9%
According to this, the percentage increase is 0.9%.
Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction
Answer:
17 is added to both numerator and denominator.
Step-by-step explanation:
Given:
Fraction = 1/10
New fraction = 2/3
Find:
Number added to both numerator and denominator.
Computation:
Assume,
a is added to both numerator and denominator.
[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]
Therefore, 17 is added to both numerator and denominator.
Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?
Answer:
11 cm
Step-by-step explanation:
The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.
To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:
66 / 6 = 11 cm
The length of one side of the model is 11 cm.
While in the store, your father purchases drinks for the six people in your van. Part of your
family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.
Answer: (2,4) They bought 2 sodas and 4 coffees.
Step-by-step explanation:
A. c + s=6 where c is the number of coffee and s is the number of sodas
B. 1.50c + 1.20s =8.40
C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c
New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2
-150 + 1.20s = 8.40
So we know they bought 2 sodas. so we will plot 2 into the equation.
1.50c + 1.20(2)=8.40 c= 4
Prodigy math again. Please help,. will give brainliest if right!
Answer:
1. 6 6/10
2. 7 6/10
Step-by-step explanation:
Answer:
1. 8 6/10
2. 9 6/10
Step-by-step explanation:
Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
Answer:use a calculator
Step-by-step explanation:
The unit rate for a proportional relationship is y = 6x.
The proportional relationship, can be find by the formula,
y = kx.........................1
Where,
X- position at X- cordinate= 1
Y - position at Y- coordinate = 6
k - constant of proportionality
put the values in the equation,
6 = k1
k = 6
Put the value of k into equation 1,
y = 6x
Therefore, the unit rate for a proportional relationship is y = 6x.
To learn more refer to the link:
https://brainly.com/question/12917806
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
What is the measurement of < SRT
Triangle
R unknow
S 53 degree
T 48 degree
A) 69 °
B) 79°
C) 99°
D)101 °
Answer:
The sum of all the angles of any triangle is 180°
So, 180 - (53 + 48) = 180 - 101 = 79
<SRT = 79°
Answer:
B
Step-by-step explanation:
i took the unit test <3
Which number is a perfect square 249, 265, or 324?
Answer:
324
Step-by-step explanation:
A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.
Answer:
324
Step-by-step explanation:
18*18. Hope that helped, vote, thanks, brainliest ;)
Have a great day!
The circumference of the base of a cone is 24 inches. The slant height of the cone is 20 inches. What is the surface area of the cone? Express the answer in terms of . 240 square inches 384 square inches 480 square inches 624 square inches
Answer:
Step-by-step explanation:
Circumference pf base of cone = 24 inches
2πr = 24
[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]
Lateral surface area = πrl
[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]
= 240 square inches
Answer:
240 square inches
Step-by-step explanation:
Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26
Answer:
x = 26.45
Step-by-step explanation:
Cos theta = adjacent side / hypotenuse
cos 50 = 17 /x
Switch the x and the cos 50
x = 17 / cos 50
x =26.44730506
Rounding to 2 decimal places
x = 26.45
Someone please help me.
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
2$ is what percent of $10
Answer:
20 %
Step-by-step explanation:
$10/100% $2/?
10/ what to get 2 so you do 10/5=2 so 100/5= 20.
Can someone give me three possible solutions?
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Hello!
Answer:[tex]\boxed{ \bf w~=~4}[/tex]
________________________________________________
Explanation:7(w + 9) = 91
First, we must multiply everything in the brackets by 7.
= 7(w) + 7(9) = 91
= 7w + 63 = 91
Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.
= 7w + 63 = 91
- 63 - 63
7w = 28
Since w is being multiplied, we'll have to perform the opposite operation (which is division).
[tex]\frac{7w}{7} = \frac{28}{7}[/tex]
w = 4
The right answer is 4.
look at the attached picture
Hope it will be helpful to you..
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.
Multiplying a negative number by a negative number will give you a positive product.
When multiplying two negative integers, it comes out as positive.
For example, we are given the equation -4 * -4.
Using the rule [ -(-a) = a ], the answer for the equation is 16.
Best of Luck!
What is 4.937 rounded to the nearest hundredth?
A) 4.90
B) 4.93
C) 4.94
D) 5.00
Answer:
C
Step-by-step explanation:
Answer:
The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)
5.345345... can be expressed as (fraction form)
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
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Use the correct inverse trig function to find the missing angle, round to the nearest whole number.
15
?
31
Answer:
61 degrees is the missing angle measure
Step-by-step explanation:
[tex]cos^{-1} (\frac{15}{31})[/tex] Use this equation to find the missing angle
61 degrees is the missing angle measure
If this asnwer is correct, please make me Brainliest!
Tyra spent 4/5 of her money on gas for her car and 1/2 of the remainder on sandwiches. If she spent $9 on sandwiches, how much money did tyra have first
Answer:
The initial amount of money Tyra has is $90
Step-by-step explanation:
Let the initial money Tyra has be equal to y
She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y
She spent ¹/₂ of the remainder on sandwiches;
the remainder = 1 - ⁴/₅ = ¹/₅
¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀
Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y
Amount she spent on sandwiches = $9 = ¹/₁₀ of y
[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]
Therefore, the initial amount of moneyTyra has is $90
Please Help it urgent
Answer:
Angle BEA
Step-by-step explanation:
They share the same straight line and their degrees add to 180
What are the solutions of the quadratic equation? x^2-9x+18=0
Answer:
x=6 x=3
Step-by-step explanation:
x^2-9x+18=0
Factor
What 2 numbers multiply to 18 and add to -9
-6*-3 = 18
-6-3 = -9
(x-6) (x-3) =0
Using the zero product property
x-6 =0 x-3 =0
x=6 x=3
Two points are shown on the graph. What is the midpoint between these two points?
A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)
Answer: C (-2,1)
Step-by-step explanation:
The reciprocal of the tangent is the ___.
A. tangent
B. secant
C. cosecant
D. cotangent
6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain
Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.
I hope this is helpful.
Answer:
B
Step-by-step explanation: