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vova2212 [387]
3 years ago
7

X - 7 = 10 2) 11 + p = 31

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

x=17 p=20

Step-by-step explanation:

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What are the values of a and b​
makvit [3.9K]

Answer:

\large\boxed{B.\ a=8,\ b=4\sqrt5}

Step-by-step explanation:

We have three similar triangles:

\triangle ABC\sim\triangle DBA\sim\triangle DAC

therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{BD}{AD}

We have AD = a, CD = 16 and BD = 4. Substitute:

\dfrac{a}{16}=\dfrac{4}{a}              <em>cross multiply</em>

(a)(a)=(16)(4)\\\\a^2=64\to a=\sqrt{64}\\\\a=8

and other proportion:

\dfrac{AB}{BC}=\dfrac{BD}{AB}

We have AB = b, BC = 16 + 4 = 20 and BD = 4. Substitute:

\dfrac{b}{20}=\dfrac{4}{b}             <em>cross multiply</em>

(b)(b)=(20)(4)\\\\b^2=80\to b=\sqrt{80}\\\\b=\sqrt{16\cdot5}\\\\b=\sqrt{16}\cdot\sqrt{5}\\\\b=4\sqrt{5}

3 0
3 years ago
Can someone -that knows how to calculate how many gallons of paint will cover a room- help me??
never [62]

Answer:

try option D that should be correct

Step-by-step explanation:

5 0
3 years ago
The leaves of a poison ivy plant are found in clusters of 3. One poison ivy plant has a total of 21 leaves. How many leaf cluste
svetlana [45]

Answer:

7 clusters

Step-by-step explanation:

Leaves in clusters of 3

One plant has 21 leaves

Divide 21 by 3

7 clusters of 3 leaves per cluster

To check, multiply 7 * 3, you get 21, answer is correct

5 0
4 years ago
2. Solve the equation p2 + 6p = 1 by completing the square method. Show your work.
goldfiish [28.3K]

Answer:

p=0.125

Step-by-step explanation:

2p+6p=1

Add like terms

8p=1

Divide both sides by 8 to get p by itself

8p/8=1/8

p=0.125

7 0
3 years ago
Can someone help me find the volume of these?
snow_lady [41]
The volume of the triangular prism is:
 
V = (1/2) * (b) * (h) * (H)
 Where,
 b: base of the triangle
 h: triangle height
 H: prism height
 Substituting:
 V = (1/2) * (9) * (12) * (19)
 V = 1026 cm ^ 3

 
The volume of the cylinder is:
 
V = (pi) * (r ^ 2) * (h)
 Where,
 r: radio
 h: height
 Substituting:
 V = (3.14) * ((14/2) ^ 2) * (11)
 V = 1692.46 yd^3
8 0
3 years ago
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