the area of a triangle is 24 and its height is 12 what is its base?

Answer:

b = 7.14cm

Step-by-step explanation:

For this question, we need to use the pythagorean theorem, since it is a right triangle, and we know two sides. The formula for the Pythagorean theorem is c^2 = a^2 + b^2.

1. a = 5.8cm so a^2 will be 5.8 x 5.8 which is 33.64

2. c = 9.2cm so c^2 will be 9.2 x 9.2 which is 84.64

3. If we add these to our Pythagorean equation, it will be 84.64 = 33.64 + b^2. --> 51 = b^2 --> b = 7.141428....

4. Since we need to round it to two decimal places, b will be 7.14.

Answer:

It is true

Step-by-step explanation:

Hopes this help

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

Given:

The inequality is:

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

To find:

The inequality after isolating the y-term.

Solution:

We have,

[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]

On simplification, we get

[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]

[tex]y+2>2x+3[/tex]

Subtracting 2 from both sides of the above inequality, we get

[tex]y+2-2>2x+3-2[/tex]

[tex]y>2x+1[/tex]

Therefore, the required inequality is [tex]y>2x+1[/tex].

Answer:

Step-by-step explanation:

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Answer:

you don't put the L value

Answer: [tex]93,\ 34^{\circ}[/tex]

Step-by-step explanation:

Given

For figure (i) both triangles are congruent

[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]

For figure (ii)

Two triangles WXZ and WZY are congruent

[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]

The value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the three sides of the right-angled triangle are AB = 26, BC = 24, and AC = 10.

The value of angle tanA will be calculated as:-

tanA = P / B

tanA = 24 / 10

tanA = 12 / 5

Hence, the value of angle tanA in a right-angle triangle is 12/5. The correct option is C.

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Answer: Altitude

Step-by-step explanation:

Altitude is perpendicular line made from vertex to side

The line PQ is the altitude, the correct option is C.

A triangle is a polygon with three sides, three vertices and three angles.

The Triangle PSR is an obtuse angle triangle,

The line PQ makes 90 degree with the line SR extended up to Q.

The line is the height of the triangle.

To know more about Triangle

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Step-by-step explanation:

the work will be finished in 26 daysplease mark the answer as the brainliest

Answer:

[tex]Pr = 0.0479[/tex]

Step-by-step explanation:

Given

[tex]p =23\%[/tex] --- proportion of completed passes

Required

The probability that he has 6 incomplete before he has 1 completion

Let:

[tex]q \to[/tex] proportion of back passes not completed

Using complement rule:

[tex]q = 1 - p[/tex]

[tex]q = 1 - 23\%[/tex]

[tex]q = 1 - 0.23[/tex]

[tex]q = 0.77[/tex]

The event that he has 6 incomplete passes before he completed one is:

q q q q q q p

And the probability is:

[tex]Pr = q * q * q * q * q * q * p[/tex]

[tex]Pr = q^6* p[/tex]

[tex]Pr = 0.77^6* 0.23[/tex]

[tex]Pr = 0.0479[/tex]

Answer:

Step-by-step explanation:

12 inches                               60 inches

---------------- is equivalent to ------------------

  1 foot                                        5 feet

This can be seen if we multiply both numerator and denominator of the first ratio by 5 (each).

120 inches

------------------ is another equivalent fraction (or ratio).

  10 feet

Answer:B and C

Step-by-step explanation:

12/1 = 60/5

1/12 = 5/60

Answer:

8.82

Step-by-step explanation:

subtotal- 88.24

total- 92.65

total with tip-111.18

change- 8.82

Answer:

Future population = 720800

Step-by-step explanation:

Below is the calculation of population after 15 years.

Given the present population = 340000

Growth in population = 5.25%

Use below formula to find the values:

Future population = Present population ( 1 + r)^n

Future population = 340000 ( 1 + 5.25%)^15

Future population = 340000 (2.15)

Future population = 720800

Answer:

32%

Step-by-step explanation:

703/2226=32%

Answer:

they are equal

Step-by-step explanation:

The triangle with sides 5, 12, 13 is a right triangle because

a^2+b^2 = c^2

5^2+12^2 = 13^2

25+144 = 169

169 = 169

I'm using the pythagorean theorem converse.

Answer:

a) (4,7/2)

Step-by-step explanation:

Midpoint Formula:

[(-1+9)/2], [(2+5)/2]

(8/2, 7/2) = (4, 7/2)

Answer:

Step-by-step explanation:

In ΔFYG & ΔBUH

∠F = ∠B

FY = BU

YG = UH

ΔFYG ≅ ΔBUH   { Angle Side Side congruent}

Answer:

y - 41°

x - ?

Step-by-step explanation:

use method of Z equation

Z 41° so y is 41° too

make sense

Answer:

75π / 2

Step-by-step explanation:

a = (∅ / 2π) * πr²

a = (3π/4 / 2π) * π(100)

a = (3/8) * 100π

a = 300/8 * π

a = 75/2 * π

a = 75π / 2

Answer:

A=36

Step-by-step explanation:

A=1/2(a+b)h

=1/2[(4+8)6]

=1/2[(12)6]

=1/2(72)

=36

Answer:

256 ft

Step-by-step explanation:

cross multiply

4x = 32(32)

4x = 1024

x =256

256 ft

Répondre:

25

Explication étape par étape :

La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.

Numéro de départ = - 7

Ajouter 2 à - 7

2 + - 7 = 2 - 7 = - 5

Carré du résultat /

-5² = 25

Answer:

X = 29

Y = 8

Step-by-step explanation:

X - y = 21

X = 2y + 5

Substitute:

2y+5-y= 21

2y = 16

Y = 8

X-8 = 21

X = 29

Answer:

the first one i think

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

-14:9

Step-by-step explanation:

Given :

3 · (7 – 2) – 23 – (10 – 4) : 9

Now,

3 · (7 – 2) – 23 – (10 – 4) : 9

21-6-23-6:9

21-35:9

-14:9

Answer will be -14:9

Answer:

[tex](x-4)^2+(y+1)^2=29[/tex]

Step-by-step explanation:

We want to find a circle whose diameter has the endpoints (6, 4) and (2, -6).

Since this is the diameter, its midpoint will be the center of the circle. Find the midpoint:

[tex]\displaystyle M=\left(\frac{6+2}{2}, \frac{4+(-6)}2}\right)=(4, -1)[/tex]

So, the center of our circle is (4, -1).

Next, to find the radius, we can find the length of the diameter and divide it by half.

Using the distance formula, find the length of the diameter:

[tex]\begin{aligned} d&=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ &=\sqrt{(2-6)^2+(-6-4)^2}\\\\&=\sqrt{(4)^2+(-10)^2}\\\\&=\sqrt{116}\\\\&=2\sqrt{29}\end{aligned}[/tex]

So, the radius will be:

[tex]\displaystyle r=\frac{1}{2}d=\frac{1}{2}\left(2\sqrt{29}\right)=\sqrt{29}[/tex]

The equation for a circle is given by:

[tex]\displaystyle (x-h)^2+(y-k)^2=r^2[/tex]

Substitute:

[tex](x-4)^2+(y+1)^2=29[/tex]

Answer:

40

Step-by-step explanation:

Let the numbers be 2x and 3x

Then their L.C.M. = 6x

BUT also their LCM=48

6x=48

x=48/6

x=8

So,

First number=2x=2x8=16

Second number=3x=3x8=24

The numbers are 16 and 24.

Hence required sum =(16+24)=40

So none of the options are correct