Answer:
136
Step-by-step explanation:
First you need to know that there are 2 triangles in the image.
One triangle (the smaller one) has sides that measure 119 (the side) and 56 (the bottom).
The other triangle (the bigger one) has sides that measure 119 + ? (the side) and 120 (the bottom).
Let's replace the 119 + ? with an x so that the entire side length of the big triangle measures x.
1. Make a proportion using ratios. For the ratios of each triangle, we can do side over bottom lengths and then set them equal to each other.
119 = x sides
56 120 bottoms
2. You can cross multiply, or just solve for x.
119*120= 14280
14280/56= 255
3. Then subtract the total length minus 119 to find the question mark
255 - 119 = 136
Given that € 1 = £0.72
a) How much is € 410 in £?
Answer:
x = 292.2 pounds (£)
Step-by-step explanation:
Write and solve an equation of ratios:
€ 1 £0.72
--------- = ----------
€410 x
Cross-multiplying, we get:
x = 292.2 pounds (£)
Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.
Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car, find the average speed of the car and the time taken to travel 265 km.
Answer: 106 km/h,2.5 hr
Step-by-step explanation:
Given
The train travels 315 km in the same time car travels 265 km
The average speed of the train is 20 kmph faster than car
Suppose, speed of the car is v and it travels 265 km in t hours
[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]
Time taken to travel is
[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]
Find the Vertex when x=-2
options:
(-2,-10)
(-2,6)
(-2,-6)
(-2,-34)
Answer:
(--2, 6)
Step-by-step explanation:
Plugging -2 into the equation, you get -2(-2)^2-4(-2)-10 which is 6. This makes the coordinate (-2,6)
Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)
Asap! What is the volume of the cylinder below?
Answer:
300
Step-by-step explanation:
Answer:
V≈9424.78in³
Step-by-step explanation:
Solution
V=πr2h=π·102·30≈9424.77796in³
Same thing as last time???????
Answer:
84in^2
Step-by-step explanation:
area = l*w
12*7=84
yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight
Answer:
The temperature was -8.5
Step-by-step explanation:
Subtraction
Find the measure of the arc or angle indicated
Answer:
the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.
Step-by-step explanation:
Answer:
A) 64°
Step-by-step explanation:
By intersecting secants theorem:
[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]
[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]
[tex] 70\degree =134\degree - m\widehat {BD} [/tex]
[tex] m\widehat {BD} =134\degree - 70\degree[/tex]
[tex] m\widehat {BD} =64\degree[/tex]
Evaluate 21/a+4 when a=3
Answer:
11
Step-by-step explanation:
All you have to do is plug in a. In this case, a=3.
21/a+4
21/(3)+4
21/3+4
7+4
11
If this helps please mark as brainliest
Answer:
11
Step-by-step explanation:
Follow the order of operations, PEMDAS.
First, divide, then add. Plug in 3 for a in the given expression:
21/(3) + 4
Divide, then add:
(21/3) + 4
7 + 4 = 11
11 is your answer.
~
15 A manufacturer needs 51 pounds of plums to make 27
quarts of prune juice. How many pounds of plums
would the manufacturer need to make 18 quarts of prune
juice?
Answer:
34 pounds
Step-by-step explanation:
51 pounds of plum = 27 quarts
x pounds of plum = 18 quarts
(cross multiply)
27x = 918
divide both sides by 27
x=34 pounds
Expand the expression by distributing
-2(-4x-7)
Answer:
8x+14
Step-by-step explanation:
Find the measure of the missing angles.
Answer:
c = 110-degrees
b = 70-degrees
Step-by-step explanation:
for c:
linear pair which means it equals 180-degrees
70 + c = 180 *subtract 70 from both sides*
c = 110
for b:
vertical angles are equal
b = 70-degrees
please uhm help me heh
Answer:
d=90°
e=81°
f=99°
Step-by-step explanation:
To find f
180-81
=99
Answer:
d = 90°
e = 81°
f = 99°
Step-by-step explanation:
Have a nice day!
Write the equation for a parabola with a focus at (0,5) and a directrix at x = -7
Answer:
(y-5)^2=14(x+7/2)
Step-by-step explanation:
The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
Given,
Focus of the parabola at (0, 5).
Directrix is x = -7.
The parabola is horizontal parabola since the directrix is a vertical line.
Equation of the parabola is of the form,
(y - k)² = 4p (x - h)
Here (h, k) is the vertex.
Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).
(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)
Now, p is the distance from vertex to focus.
p = 0 - -7/2 = 7/2 = 3.5
So the equation is,
(y - 5)² = 4× 3.5 (x - -3.5)
(y - 5)² = 14 (x + 3.5)
Hence the equation is (y - 5)² = 14 (x + 3.5).
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a wire of radius 6mm and length 400 is melted to sphere.calculate the volume of an irregular solid
Answer:
it's 10 cemetery in a two way too far and far from a lot for
The volume of irregular solid is 45239 mm^3
Given
for cylinder,
radius = 6mm and length = 400 mm
Volume, is defined as the ratio of the mass of object to its density.
since if the cylinder is melted to sphere the volume remains the constant
so.
volume of an irregular solid = volume of cylinder
= πr^2l
= 3.14 x 6^2 x 400
= 45239 mm^3
Thus, the required volume of of irregular solid is 45239 mm^3
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Can you plase answer the question.
Answer:
I don't understand your language
Step-by-step explanation:
Please enter the missing number: 3, 5, 18, 72, ?
A. 144
B. 214
C. 272
D. 360
E. 432
Please explain precisely
Step-by-step explanation:
18 and 5 are both missing if that's what you mean
Answer:
D. 360
Step-by-step explanation: It's being multiplied by plus one more every time you move on to a new term.
So 2*3=6, 6*3=18, 18*4=72, 72*5=360
can someone pls help me with all of these questions
Answer:
68, 97, 81, 96, 84.2
Step-by-step explanation:
16. The minimum of the data is the smallest value. Take the smallest stem value and find its smallest leaf value, you'll get 68.
17. Take the largest stem value and find its largest leaf value. That's 97.
18. Counting the number of values, there are 10 values here. So you need to look at the mean of the 5th and 6th values. (80 + 82) ÷ 2 = 81
19. Mode: the most frequently occurring value. All values in this dataset are unique except for the two 96s in the last row, hence 96 is the mode.
20. Add all values and divide your result by the number of values.
(68+75+77+79+80+82+92+96+96+97) ÷ 10 = 84.2
Hence 84.2 is your mean.
Help me pleaseeeeeeeee
71
Step-by-step explanation:
that it is not 0 because i am a teacher mrs.brainly so there is the thing
You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $
for washing 4 cars.
18 is 15% of what number
Answer:
120
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES
Answer:
1. 170.083 in³
2. 126π in³
3. 92.106 m³
4. 2412.74 in³
5. 612π m³ and 1922 m³
Step-by-step explanation:
1.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex](3.14)(2.5)^{2}(7)[/tex] *Square 2.5*
[tex](3.14)(6.25)(7)[/tex] *Solve*
≈ [tex]137.375in^{3}[/tex]
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(2.5)^{3}[/tex] *Cube 2.5*
[tex]\frac{\frac{4}{3}(3.14)(15.625)}{2}[/tex] *Divide by 2 and Solve*
≈ [tex]32.7083 in^{3}[/tex]
Add both volumes
[tex]137.375 + 32.7083[/tex] ≈ [tex]170.083in^{3}[/tex]
2.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (3)^{2}(10)[/tex] *Square 3*
[tex]\pi (9)(10)[/tex] *Multiply*
[tex]90\pi[/tex]
Sphere:
[tex]V = \frac{4}{3}[/tex] π [tex]r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} \pi (27)[/tex] *Multiply*
[tex]36\pi[/tex]
Add both Volumes to get total
[tex]90\pi + 36\pi = 126in^{3}[/tex]
3.
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} (3.14)(27)[/tex] *Multiply*
[tex]113.04m^{3}[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{(3.14)(2)^{2}(5)}{3}[/tex] *Square 2*
[tex]\frac{(3.14)(4)(5)}{3}[/tex] *Solve*
[tex]20.93m^{3}[/tex]
Subtract the volumes to get the volume of the blue area
[tex]113.04 - 20.93 = 92.106m^{3}[/tex]
4.
Sphere:
[tex]V = \frac{4}{3} \pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (8)^{3}[/tex] *Cube 8*
[tex]\\\frac{4}{3}\pi (512)[/tex] *Multiply*
[tex]\\\\\pi (682.6)[/tex] *Solve*
[tex]2133.66in^{3}[/tex] *Divide by 2 since it's a hemisphere*
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (8)^{2}(20)}{3}[/tex] *Square 8*
[tex]\frac{\pi (64)(20)}{3}[/tex] *Multiply and Divide*
[tex]1340.41 in^{3}[/tex]
Add both volumes
[tex]1072.33 + 1340.41 = 2412.74in^{3}[/tex]
5.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (6)^{2}(16)[/tex] *Square 6*
[tex]\pi (36)(16)[/tex] *Multiply*
[tex]576\pi[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (6)^{2}3}{3}[/tex] *Square 6*
[tex]36\pi[/tex]
Add both volumes
[tex]576\pi + 36\pi = 612\pi m^{3}[/tex]
Alternative: *Multiply π*
[tex]1922m^{3}[/tex]
Answer:
1) 175 [tex]in^2[/tex]
2) 1st option
3) 92 [tex]m^2[/tex]
4) 2412 [tex]in^3\\[/tex]
5) 2nd option
Step-by-step explanation:
[tex]1)\ A = D * Pi = 5 * 3.14 = 15.7\\[/tex]
[tex]2)\ V_{1} = 15.7 * 7 = 109.9[/tex]
[tex]3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)[/tex]
[tex]4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3[/tex] which is close to 175
[tex]1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\[/tex]
[tex]2)\ V_1 = A * h = 28.26 * 10 = 282.6[/tex]
[tex]3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04[/tex]
[tex]4)\ V_1 + V_2 = 282.6 + 113 = 395.6[/tex] which is very close to 396
[tex]5)\ 396 = 126 * pi[/tex]
[tex]1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)[/tex] =
[tex]2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\[/tex]
[tex]3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14[/tex] which is very close to 92
[tex]1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\[/tex]
[tex]2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733[/tex]
[tex]3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412[/tex]
[tex]1)\ A = Pi * R^2 = 36*Pi\\[/tex]
[tex]2)\ V_1 = 36*Pi * 16 = 576 * Pi\\[/tex]
[tex]3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi[/tex]
[tex]4) V_1 + V_2 = 576Pi + 36Pi = 612Pi[/tex]
EASY MATH!!! GIVING BRAINLIEST!!!
Q2.In how many hours can they bake 250 bagels?
Answer:
2 hours!
Step-by-step explanation:
Which number is less than -1.5?
1. -1
2.-1.5
3.-1 1/3
4.-1 2/3
Answer:
4.) -1 2/3
Step-by-step explanation:
it means -1.66666666
A certain television is advertised as a 90-inch TV (the diagonal length). If the height of the TV is 63 inches, how wide is the TV? Round to the nearest tenth of an inch.
Answer:
The TV is 64.3 in. wide.
Step-by-step explanation:
a
2
+(63)
2
=
\,\,90^{2}
90
2
Use the Pythagorean Theorem.
a^{2}+3969=
a
2
+3969=
\,\,8100
8100
Simplify.
-3969\phantom{=}
−3969=
\,\,-3969
−3969
Subtract 3969 from both sides.
a^{2}=
a
2
=
\,\,4131
4131
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{4131}
±
4131
Square root both sides.
a=
a=
\,\,64.272855...
64.272855...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,64.3
64.3
Round to the nearest tenth.
The rectangle TV's width is determined by the formula W = 64.3 inches.
What is the diagonal of a rectangle?The formula determines a rectangle's diagonal.
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let D represent the diagonal of the rectangular TV.
D is now equal to 90 inches.
Let the TV's rectangle size be 63 inches.
Let W be the TV's rectangular width.
And , Diagonal of a Rectangle = √ ( Length )² + ( Width )²
D² = L² + W²
90² = 63² + W²
Subtracting 63² on both sides of the equation , we get
W² = 90² - 63²
On simplifying the equation , we get
W² = 4131
Taking square roots , we get
W = √4131 inches
W = 64.3 inches
Thus , W is equal to 64.3 inches.
Hence, the rectangular TV is 64.3 inches wide.
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CAN SOMEONE PLZ HELP ME!!!
Answer:
hope this helps
Step-by-step explanation:
Strawberry = 14
blueberry = 14
cherry = 7
chocolate = 7
apple = 14
The median is __________________ a value in a data set
A) never
B) always
C) sometimes
1. Harry invested Nu 3200 in an
account for four years. The value of
the investment at the end of four years
was Nu 4000. Determine the rate of
simple interest that was earned.